A community of shared security for mankind is a landmark concept developed by China in the process of shaping its global security vision in the new era,and a concrete embodiment of the concept of a community with a sh...A community of shared security for mankind is a landmark concept developed by China in the process of shaping its global security vision in the new era,and a concrete embodiment of the concept of a community with a shared future for mankind in the field of security.The object of a community of shared security for mankind refers to humanity as collective entities,with the core principle of the indivisibility of global security as its foundation,and the community of coexistence and mutual survival as its security framework.Its essence lies in exploring ways for humanity to adapt to and harmoniously coexist in the real world.This concept arises from significant changes in human security circumstances and reflects China's increasingly prominent influence on the global stage in the new era.It is rooted in a combination of Marxist principles and traditional Chinese security thoughts.This new approach to global security governance helps break free from the constraints of Western security concepts and ideological biases.China's efforts to translate the concept of a community of shared security for mankind into concrete practice are reflected in four aspects:creating a realistic template for the construction of a community of shared security for mankind in bilateral and regional security communities;cultivating a global consensus on the concept of a community of shared security for mankind by coordinating and promoting the construction of security mechanisms in emerging fields;fulfilling special responsibilities of a major country in constructing a community of shared security for mankind through promoting security cooperation and interaction among countries;and seeking a long-term goal of sustainable development and security for all humankind by jointly promoting common development and security.展开更多
China's idea of a community of a shared future for humanity(CSFH)has become the guiding principle and norm to be further embedded and integrated into the country's approach to environmental governance.Under th...China's idea of a community of a shared future for humanity(CSFH)has become the guiding principle and norm to be further embedded and integrated into the country's approach to environmental governance.Under the Paris Agreement and the UN Sustainable Development Goals,China strongly emphasizes the implementation of its national strategy to mitigate the global climate crisis,and construct international environmental institutions by advocating fair cooperation resulting in mutual gain.China's role as a responsible major country is expected to be more proactive in international process.In particular,the concept of CSFH exerts positive,far-reaching impacts on the greening of the Belt and Road Initiative and the construction of solid South-South relations.Based on the renewed perception,China shall undertake its responsibilities in the reform of the global environmental governance system by leading multilateralism to strengthen the capacity of relevant international institutions such as the UN.Driven by China's political will,this concept reflects China's more confident attitude toward global environmental governance.Most profoundly,mainstreaming the vision of CSFH will elevate China's role to a new level in the coming years in terms of norm creation in international environmental institutions.展开更多
The human rights cause in the world still faces structural challenges and crises, the factor of which including scarcity of living material resources, global environmental crisis and global terrorism. However, the exi...The human rights cause in the world still faces structural challenges and crises, the factor of which including scarcity of living material resources, global environmental crisis and global terrorism. However, the existing global governance model and governance pattern have made it difficult to deal effectively with the above structural challenges and crises facing the development of human rights in the world. Therefore, it’s necessary to advance and modernize global governance. In order to realize these ends, the Chinese government presents the ideal of a Community with a Shared Future for Human Beings as the modernization of global governance and the Belt and Road Initiative as the proper project for this process of modernization. It calls on all countries to work hand in hand and work together to build a community with a shared future for mankind so as to realize the modernization of global governance and hence the comprehensive development of human beings.展开更多
China has made remarkable achievements in poverty reduction through institutional designs and practices in line with its national conditions. It can explore ways to participate in global poverty governance through bil...China has made remarkable achievements in poverty reduction through institutional designs and practices in line with its national conditions. It can explore ways to participate in global poverty governance through bilateral, multilateral and thirdparty cooperation, and contribute to the UN 2030 Agenda.展开更多
Ensemble prediction is widely used to represent the uncertainty of single deterministic Numerical Weather Prediction(NWP) caused by errors in initial conditions(ICs). The traditional Singular Vector(SV) initial pertur...Ensemble prediction is widely used to represent the uncertainty of single deterministic Numerical Weather Prediction(NWP) caused by errors in initial conditions(ICs). The traditional Singular Vector(SV) initial perturbation method tends only to capture synoptic scale initial uncertainty rather than mesoscale uncertainty in global ensemble prediction. To address this issue, a multiscale SV initial perturbation method based on the China Meteorological Administration Global Ensemble Prediction System(CMA-GEPS) is proposed to quantify multiscale initial uncertainty. The multiscale SV initial perturbation approach entails calculating multiscale SVs at different resolutions with multiple linearized physical processes to capture fast-growing perturbations from mesoscale to synoptic scale in target areas and combining these SVs by using a Gaussian sampling method with amplitude coefficients to generate initial perturbations. Following that, the energy norm,energy spectrum, and structure of multiscale SVs and their impact on GEPS are analyzed based on a batch experiment in different seasons. The results show that the multiscale SV initial perturbations can possess more energy and capture more mesoscale uncertainties than the traditional single-SV method. Meanwhile, multiscale SV initial perturbations can reflect the strongest dynamical instability in target areas. Their performances in global ensemble prediction when compared to single-scale SVs are shown to(i) improve the relationship between the ensemble spread and the root-mean-square error and(ii) provide a better probability forecast skill for atmospheric circulation during the late forecast period and for short-to medium-range precipitation. This study provides scientific evidence and application foundations for the design and development of a multiscale SV initial perturbation method for the GEPS.展开更多
In the post-pandemic era,the global economic and security landscapes are fraught with complexities and uncertainties.Among them,four risk flashpoints merit attention:Certain countries are raising interest rates to sub...In the post-pandemic era,the global economic and security landscapes are fraught with complexities and uncertainties.Among them,four risk flashpoints merit attention:Certain countries are raising interest rates to subdue inflation,despite their already high levels of debt;the bulk commodities market is experiencing volatility,leading to global turbulence and change;trade protectionism is at the forefront of major-power rivalry in political and economic spheres;and regional security crises are compounding international tensions.Behind those flashpoints are contradictions that obstruct world peace and progress,including development imbalances,governance gaps,and structural tensions in global security.In the face of uncertainties,it is crucial for China to seize strategic opportunities and transform crises into favorable situations.China has launched the Global Development Initiative(GDI)and the Global Security Initiative(GSI)to contribute to global prosperity and security.The two initiatives demonstrate China’s commitment to addressing global deficits in peace,development,security,and governance.展开更多
Increasingly engaged in maritime governance,China has developed its distinct vision and gradually established a complete theoretical system surrounding it.In terms of discourse,China has proposed a collection of conce...Increasingly engaged in maritime governance,China has developed its distinct vision and gradually established a complete theoretical system surrounding it.In terms of discourse,China has proposed a collection of concepts and ideas including a maritime community with a shared future,the 2lst Century Maritime Silk Road,Blue Partnerships,and marine ecological civilization.In terms of connotations,China champions such values as lasting peace,common prosperity,openness and inclusiveness,and cleanness and beautifulness.Exteriorly and interiorly,we can observe the unique character of China's vision concerning maritime governance,which will continue to upgrade and bear fruit in future practices,boosting the development of Chinese maritime governance theories,multilateral maritime cooperation,and ocean-related international legislation.Guided by its vision,China is expected to contribute more to global maritime security and marine ecological civilization.展开更多
The world is entering into a new era of economic globalization. Realizing the benefits of globalization depends on a host of realistic conditions including technology and infrastructure, geopolitical pattern and the s...The world is entering into a new era of economic globalization. Realizing the benefits of globalization depends on a host of realistic conditions including technology and infrastructure, geopolitical pattern and the structure of market power, and international institutional arrangements, i.e., the global governance structure, among others. In this new era of economic globalization, international competition boils down to the ＂good governance＂ of countries rather than the use of force and hegemonism. Most importantly, a country must promote the vibrancy of innovation in order to stay competitive and creative. In this sense, China＇s position in the new era of economic globalization hinges upon its transition from being the ＂leader of world economic growth＂ to being a future ＂leader of good governance and vibrancy. ＂ Interests of various economies become interlocked, intertwined and overlap. Despite the inevitability of conflicts and frictions, more inclusive and balanced global development serves the interests of most nations. For great powers with extended boundaries of interests across the world, the maintenance of the new balance of power in economic globalization is consistent with their respective national interests. Hence, in the new era of economic globalization characterized by the inevitability of intricate interests and inevitable conflicts, the world is likely to be more peaceful, competitive and inclusive than any previous age of economic globalization.展开更多
This paper is concerned with the generalzed global solution and its asymptotic properties for the initial value problem of the partial differential equationu t+u x 3 =F(u).
Since the 18th National Congress of Chinese Communist Party,the great call for building a maritime power and a power⁃ful military force has set higher standards for Navy’s development and the application of strategie...Since the 18th National Congress of Chinese Communist Party,the great call for building a maritime power and a power⁃ful military force has set higher standards for Navy’s development and the application of strategies.As a maritime military force,the navy bears considerable responsibilities of safeguarding territorial sovereignty,maritime rights and interests with security and development as core mission,and defending the role and image of China as a major county in the world.This paper analyzes and studies naval officers’global competence development from three aspects,and discusses the significance and recommendations of strengthening the development of naval cadets’global competence in cooperation and exchange guided by“Belt and Road”Initia⁃tive(BRI).展开更多
A dynamic global vegetation model （DGVM） coupled with a land surface model （LSM） is generally initialized using a spin-up process to derive a physically-consistent initial condition. Spin-up forcing, which is the ...A dynamic global vegetation model （DGVM） coupled with a land surface model （LSM） is generally initialized using a spin-up process to derive a physically-consistent initial condition. Spin-up forcing, which is the atmospheric forcing used to drive the coupled model to equilibrium solutions in the spin-up process, varies across earlier studies. In the present study, the impact of the spin-up forcing in the initialization stage on the fractional coverages （FCs） of plant functional type （PFT） in the subsequent simulation stage are assessed in seven classic climate regions by a modified Community Land Model’s Dynamic Global Vegetation Model （CLM-DGVM）. Results show that the impact of spin-up forcing is considerable in all regions except the tropical rainforest climate region （TR） and the wet temperate climate region （WM）. In the tropical monsoon climate region （TM）, the TR and TM transition region （TR-TM）, the dry temperate climate region （DM）, the highland climate region （H）, and the boreal forest climate region （BF）, where FCs are affected by climate non-negligibly, the discrepancies in initial FCs, which represent long-term cumulative response of vegetation to different climate anomalies, are large. Moreover, the large discrepancies in initial FCs usually decay slowly because there are trees or shrubs in the five regions. The intrinsic growth timescales of FCs for tree PFTs and shrub PFTs are long, and the variation of FCs of tree PFTs or shrub PFTs can affect that of grass PFTs.展开更多
Global environmental cooperation serves as an important part in the Chinese ideal of building a Community with a Shared Future for all Human Beings. The report of 19 th CPC National Congress indicates that China is co...Global environmental cooperation serves as an important part in the Chinese ideal of building a Community with a Shared Future for all Human Beings. The report of 19 th CPC National Congress indicates that China is committed to proactive mitigation under the Paris Agreement and further participating in global environmental governance under the 2030 Agenda for Sustainable Development, and both of which are largely integrated to the Belt and Road Initiative(BRI). BRI are also closely linked with South-South environmental and climate cooperation proposed by China from previous UN summits. Based on shared ideas, intersected agendas, and compatible governance approaches, BRI and the 2030 Agenda for Sustainable Development grow increasingly relevant and they might form synergies based on increasingly interactive relations. In sum,seeking and intensifying the linkages between BRI and 2030 sustainable development goals(SDGs) could address global environmental governance deficits and enhance cooperation among nations.展开更多
The existence and uniqueness of classical global solutions and the nonexistence of global solutions to the first boundary value problem and the second boundary value problem for the equation u tt -a 1u xx -a ...The existence and uniqueness of classical global solutions and the nonexistence of global solutions to the first boundary value problem and the second boundary value problem for the equation u tt -a 1u xx -a 2u xxt -a 3u xxtt =φ(u x ) x are proved.展开更多
We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the 3-D compressible Navier-Stokes equations under the assumption that the initial density ｜｜po｜｜L∞ is appropriate...We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the 3-D compressible Navier-Stokes equations under the assumption that the initial density ｜｜po｜｜L∞ is appropriate small and 1 〈 γ 〈 6/5. Here the initial density could have vacuum and we do not require that the initial energy is small.展开更多
In this article, we study the initial boundary value problem of generalized Pochhammer-Chree equation utt-uxx-uxxt-uxxtt=f（u）xx,x∈Ω,t〉0,u（x,0）=u0（x）,ut（x,0）=u1（x）,x∈Ω,u（0,t）=u（1,t）=0,t≥0, where Ω...In this article, we study the initial boundary value problem of generalized Pochhammer-Chree equation utt-uxx-uxxt-uxxtt=f（u）xx,x∈Ω,t〉0,u（x,0）=u0（x）,ut（x,0）=u1（x）,x∈Ω,u（0,t）=u（1,t）=0,t≥0, where Ω = （0, 1）. First, we obtain the existence of local Wkp solutions. Then, we prove that, if f（s） ∈ Ck＋1（R） is nondecreasing, f（0） = 0 and ｜f（u）｜ ≤ C1｜u｜∫0uf（s）ds ＋ C2, u0（x）,u1（x） ∈ WkP（Ω） ∩ W01,P（Ω）, k≥ 1, 1 〈 p≤ ∞, then for any T 〉 0 the problem admits a unique solution u（x, t） ∈ W2,∞（0, T; WkP（Ω） ∩ W01,P（Ω））. Finally, the finite time blow-up of solutions and global Wkp solution of generalized IMBo equations are discussed.展开更多
The periodic initial value problem of a fifth-order shallow water equation t u 2 x t u ＋ 3 x u 5 x u ＋ 3u x u 2 x u 2 x u u 3 x u = 0 is shown to be globally well-posed in Sobolev spaces˙ H s （T） for s 〉 2/3 by ...The periodic initial value problem of a fifth-order shallow water equation t u 2 x t u ＋ 3 x u 5 x u ＋ 3u x u 2 x u 2 x u u 3 x u = 0 is shown to be globally well-posed in Sobolev spaces˙ H s （T） for s 〉 2/3 by I-method. For this equation lacks scaling invariance, we first reconsider the local result and pay special attention to the relationship between the lifespan of the local solution and the initial data, and then prove the almost conservation law, and finally obtain the global well-posedness by an iteration process.展开更多
文摘A community of shared security for mankind is a landmark concept developed by China in the process of shaping its global security vision in the new era,and a concrete embodiment of the concept of a community with a shared future for mankind in the field of security.The object of a community of shared security for mankind refers to humanity as collective entities,with the core principle of the indivisibility of global security as its foundation,and the community of coexistence and mutual survival as its security framework.Its essence lies in exploring ways for humanity to adapt to and harmoniously coexist in the real world.This concept arises from significant changes in human security circumstances and reflects China's increasingly prominent influence on the global stage in the new era.It is rooted in a combination of Marxist principles and traditional Chinese security thoughts.This new approach to global security governance helps break free from the constraints of Western security concepts and ideological biases.China's efforts to translate the concept of a community of shared security for mankind into concrete practice are reflected in four aspects:creating a realistic template for the construction of a community of shared security for mankind in bilateral and regional security communities;cultivating a global consensus on the concept of a community of shared security for mankind by coordinating and promoting the construction of security mechanisms in emerging fields;fulfilling special responsibilities of a major country in constructing a community of shared security for mankind through promoting security cooperation and interaction among countries;and seeking a long-term goal of sustainable development and security for all humankind by jointly promoting common development and security.
基金National Social Science Found of China"Research on the Opportunities,Risks and Challenges Facing the Joint Construction of the Belt and Road in the Next 35 Years"[Grant number.19VDL003].
文摘China's idea of a community of a shared future for humanity(CSFH)has become the guiding principle and norm to be further embedded and integrated into the country's approach to environmental governance.Under the Paris Agreement and the UN Sustainable Development Goals,China strongly emphasizes the implementation of its national strategy to mitigate the global climate crisis,and construct international environmental institutions by advocating fair cooperation resulting in mutual gain.China's role as a responsible major country is expected to be more proactive in international process.In particular,the concept of CSFH exerts positive,far-reaching impacts on the greening of the Belt and Road Initiative and the construction of solid South-South relations.Based on the renewed perception,China shall undertake its responsibilities in the reform of the global environmental governance system by leading multilateralism to strengthen the capacity of relevant international institutions such as the UN.Driven by China's political will,this concept reflects China's more confident attitude toward global environmental governance.Most profoundly,mainstreaming the vision of CSFH will elevate China's role to a new level in the coming years in terms of norm creation in international environmental institutions.
基金funded by the “Research on Party Regulations” youth academic innovation team at Northwest University of Political Science and Law
文摘The human rights cause in the world still faces structural challenges and crises, the factor of which including scarcity of living material resources, global environmental crisis and global terrorism. However, the existing global governance model and governance pattern have made it difficult to deal effectively with the above structural challenges and crises facing the development of human rights in the world. Therefore, it’s necessary to advance and modernize global governance. In order to realize these ends, the Chinese government presents the ideal of a Community with a Shared Future for Human Beings as the modernization of global governance and the Belt and Road Initiative as the proper project for this process of modernization. It calls on all countries to work hand in hand and work together to build a community with a shared future for mankind so as to realize the modernization of global governance and hence the comprehensive development of human beings.
文摘China has made remarkable achievements in poverty reduction through institutional designs and practices in line with its national conditions. It can explore ways to participate in global poverty governance through bilateral, multilateral and thirdparty cooperation, and contribute to the UN 2030 Agenda.
基金supported by the Joint Funds of the Chinese National Natural Science Foundation (NSFC)(Grant No.U2242213)the National Key Research and Development (R&D)Program of the Ministry of Science and Technology of China(Grant No. 2021YFC3000902)the National Science Foundation for Young Scholars (Grant No. 42205166)。
文摘Ensemble prediction is widely used to represent the uncertainty of single deterministic Numerical Weather Prediction(NWP) caused by errors in initial conditions(ICs). The traditional Singular Vector(SV) initial perturbation method tends only to capture synoptic scale initial uncertainty rather than mesoscale uncertainty in global ensemble prediction. To address this issue, a multiscale SV initial perturbation method based on the China Meteorological Administration Global Ensemble Prediction System(CMA-GEPS) is proposed to quantify multiscale initial uncertainty. The multiscale SV initial perturbation approach entails calculating multiscale SVs at different resolutions with multiple linearized physical processes to capture fast-growing perturbations from mesoscale to synoptic scale in target areas and combining these SVs by using a Gaussian sampling method with amplitude coefficients to generate initial perturbations. Following that, the energy norm,energy spectrum, and structure of multiscale SVs and their impact on GEPS are analyzed based on a batch experiment in different seasons. The results show that the multiscale SV initial perturbations can possess more energy and capture more mesoscale uncertainties than the traditional single-SV method. Meanwhile, multiscale SV initial perturbations can reflect the strongest dynamical instability in target areas. Their performances in global ensemble prediction when compared to single-scale SVs are shown to(i) improve the relationship between the ensemble spread and the root-mean-square error and(ii) provide a better probability forecast skill for atmospheric circulation during the late forecast period and for short-to medium-range precipitation. This study provides scientific evidence and application foundations for the design and development of a multiscale SV initial perturbation method for the GEPS.
基金supported by the key project of the National Social Science Fund of China(NSSFC):“Study on China-Russia Strategic Partnership for the New Era”(Grant No.20AGJ012).
文摘In the post-pandemic era,the global economic and security landscapes are fraught with complexities and uncertainties.Among them,four risk flashpoints merit attention:Certain countries are raising interest rates to subdue inflation,despite their already high levels of debt;the bulk commodities market is experiencing volatility,leading to global turbulence and change;trade protectionism is at the forefront of major-power rivalry in political and economic spheres;and regional security crises are compounding international tensions.Behind those flashpoints are contradictions that obstruct world peace and progress,including development imbalances,governance gaps,and structural tensions in global security.In the face of uncertainties,it is crucial for China to seize strategic opportunities and transform crises into favorable situations.China has launched the Global Development Initiative(GDI)and the Global Security Initiative(GSI)to contribute to global prosperity and security.The two initiatives demonstrate China’s commitment to addressing global deficits in peace,development,security,and governance.
基金the phased result of a key research project supported by the National Social Science Fund of China(22VHQ010).
文摘Increasingly engaged in maritime governance,China has developed its distinct vision and gradually established a complete theoretical system surrounding it.In terms of discourse,China has proposed a collection of concepts and ideas including a maritime community with a shared future,the 2lst Century Maritime Silk Road,Blue Partnerships,and marine ecological civilization.In terms of connotations,China champions such values as lasting peace,common prosperity,openness and inclusiveness,and cleanness and beautifulness.Exteriorly and interiorly,we can observe the unique character of China's vision concerning maritime governance,which will continue to upgrade and bear fruit in future practices,boosting the development of Chinese maritime governance theories,multilateral maritime cooperation,and ocean-related international legislation.Guided by its vision,China is expected to contribute more to global maritime security and marine ecological civilization.
文摘The world is entering into a new era of economic globalization. Realizing the benefits of globalization depends on a host of realistic conditions including technology and infrastructure, geopolitical pattern and the structure of market power, and international institutional arrangements, i.e., the global governance structure, among others. In this new era of economic globalization, international competition boils down to the ＂good governance＂ of countries rather than the use of force and hegemonism. Most importantly, a country must promote the vibrancy of innovation in order to stay competitive and creative. In this sense, China＇s position in the new era of economic globalization hinges upon its transition from being the ＂leader of world economic growth＂ to being a future ＂leader of good governance and vibrancy. ＂ Interests of various economies become interlocked, intertwined and overlap. Despite the inevitability of conflicts and frictions, more inclusive and balanced global development serves the interests of most nations. For great powers with extended boundaries of interests across the world, the maintenance of the new balance of power in economic globalization is consistent with their respective national interests. Hence, in the new era of economic globalization characterized by the inevitability of intricate interests and inevitable conflicts, the world is likely to be more peaceful, competitive and inclusive than any previous age of economic globalization.
文摘This paper is concerned with the generalzed global solution and its asymptotic properties for the initial value problem of the partial differential equationu t+u x 3 =F(u).
文摘Since the 18th National Congress of Chinese Communist Party,the great call for building a maritime power and a power⁃ful military force has set higher standards for Navy’s development and the application of strategies.As a maritime military force,the navy bears considerable responsibilities of safeguarding territorial sovereignty,maritime rights and interests with security and development as core mission,and defending the role and image of China as a major county in the world.This paper analyzes and studies naval officers’global competence development from three aspects,and discusses the significance and recommendations of strengthening the development of naval cadets’global competence in cooperation and exchange guided by“Belt and Road”Initia⁃tive(BRI).
基金supported by the Chinese Academy of Sciences under Grant No.KZCX2-YW-219State Key Project for Basic Research Program of China(973)under Grant No.2010CB951801Key Program of National Natural Science Foundation under Grant No.40830103
文摘A dynamic global vegetation model （DGVM） coupled with a land surface model （LSM） is generally initialized using a spin-up process to derive a physically-consistent initial condition. Spin-up forcing, which is the atmospheric forcing used to drive the coupled model to equilibrium solutions in the spin-up process, varies across earlier studies. In the present study, the impact of the spin-up forcing in the initialization stage on the fractional coverages （FCs） of plant functional type （PFT） in the subsequent simulation stage are assessed in seven classic climate regions by a modified Community Land Model’s Dynamic Global Vegetation Model （CLM-DGVM）. Results show that the impact of spin-up forcing is considerable in all regions except the tropical rainforest climate region （TR） and the wet temperate climate region （WM）. In the tropical monsoon climate region （TM）, the TR and TM transition region （TR-TM）, the dry temperate climate region （DM）, the highland climate region （H）, and the boreal forest climate region （BF）, where FCs are affected by climate non-negligibly, the discrepancies in initial FCs, which represent long-term cumulative response of vegetation to different climate anomalies, are large. Moreover, the large discrepancies in initial FCs usually decay slowly because there are trees or shrubs in the five regions. The intrinsic growth timescales of FCs for tree PFTs and shrub PFTs are long, and the variation of FCs of tree PFTs or shrub PFTs can affect that of grass PFTs.
基金supported by the Beijing Social Science Fund:Beijing's Participation in the United Nations 2030 Agenda for Sustainable Development [grant number:17ZGC011]
文摘Global environmental cooperation serves as an important part in the Chinese ideal of building a Community with a Shared Future for all Human Beings. The report of 19 th CPC National Congress indicates that China is committed to proactive mitigation under the Paris Agreement and further participating in global environmental governance under the 2030 Agenda for Sustainable Development, and both of which are largely integrated to the Belt and Road Initiative(BRI). BRI are also closely linked with South-South environmental and climate cooperation proposed by China from previous UN summits. Based on shared ideas, intersected agendas, and compatible governance approaches, BRI and the 2030 Agenda for Sustainable Development grow increasingly relevant and they might form synergies based on increasingly interactive relations. In sum,seeking and intensifying the linkages between BRI and 2030 sustainable development goals(SDGs) could address global environmental governance deficits and enhance cooperation among nations.
基金the National Natural Science Foundation of China(1 0 0 71 0 74) and the Natural ScienceFoundation of Henan Provinc
文摘The existence and uniqueness of classical global solutions and the nonexistence of global solutions to the first boundary value problem and the second boundary value problem for the equation u tt -a 1u xx -a 2u xxt -a 3u xxtt =φ(u x ) x are proved.
基金supported by National Natural Science Foundation of China (11001090)the Fundamental Research Funds for the Central Universities(11QZR16)
文摘We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the 3-D compressible Navier-Stokes equations under the assumption that the initial density ｜｜po｜｜L∞ is appropriate small and 1 〈 γ 〈 6/5. Here the initial density could have vacuum and we do not require that the initial energy is small.
基金supported by National Natural Science Foundation of China(10871055,10926149)Natural Science Foundation of Heilongjiang Province (A2007-02+2 种基金A200810)Science and Technology Foundation of Education Office of Heilongjiang Province(11541276)Foundational Science Founda-tion of Harbin Engineering University
文摘In this article, we study the initial boundary value problem of generalized Pochhammer-Chree equation utt-uxx-uxxt-uxxtt=f（u）xx,x∈Ω,t〉0,u（x,0）=u0（x）,ut（x,0）=u1（x）,x∈Ω,u（0,t）=u（1,t）=0,t≥0, where Ω = （0, 1）. First, we obtain the existence of local Wkp solutions. Then, we prove that, if f（s） ∈ Ck＋1（R） is nondecreasing, f（0） = 0 and ｜f（u）｜ ≤ C1｜u｜∫0uf（s）ds ＋ C2, u0（x）,u1（x） ∈ WkP（Ω） ∩ W01,P（Ω）, k≥ 1, 1 〈 p≤ ∞, then for any T 〉 0 the problem admits a unique solution u（x, t） ∈ W2,∞（0, T; WkP（Ω） ∩ W01,P（Ω））. Finally, the finite time blow-up of solutions and global Wkp solution of generalized IMBo equations are discussed.
基金supported by NSFC (10771074)NSFC-NSAF(10976026)+1 种基金Yang was partially supported by NSFC (10801055 10901057)
文摘The periodic initial value problem of a fifth-order shallow water equation t u 2 x t u ＋ 3 x u 5 x u ＋ 3u x u 2 x u 2 x u u 3 x u = 0 is shown to be globally well-posed in Sobolev spaces˙ H s （T） for s 〉 2/3 by I-method. For this equation lacks scaling invariance, we first reconsider the local result and pay special attention to the relationship between the lifespan of the local solution and the initial data, and then prove the almost conservation law, and finally obtain the global well-posedness by an iteration process.
