In this paper, we study the inertial manifolds for a class of the Kirchhoff-type equations with strongly damped terms and source terms. The inertial manifold is a finite dimensional invariant smooth manifold that cont...In this paper, we study the inertial manifolds for a class of the Kirchhoff-type equations with strongly damped terms and source terms. The inertial manifold is a finite dimensional invariant smooth manifold that contains the global attractor, attracting the solution orbits by the exponential rate. Under appropriate assumptions, we firstly exert the Hadamard’s graph transformation method to structure a graph norm of a Lipschitz continuous function, and then we prove the existence of the inertial manifold by showing that the spectral gap condition is true.展开更多
In this paper, we mainly deal with a class of higher-order coupled Kirch-hoff-type equations. At first, we take advantage of Hadamard’s graph to get the equivalent form of the original equations. Then, the inertial m...In this paper, we mainly deal with a class of higher-order coupled Kirch-hoff-type equations. At first, we take advantage of Hadamard’s graph to get the equivalent form of the original equations. Then, the inertial manifolds are proved by using spectral gap condition. The main result we gained is that the inertial manifolds are established under the proper assumptions of M(s) and gi(u,v), i=1, 2.展开更多
Lagrangian mechanics on Kahler manifolds were discussed, and the complex mathematical aspects of Lagrangian operator, Lagrange＇s equation, the action functional, Hamilton＇ s principle, Hamilton＇ s equation and so o...Lagrangian mechanics on Kahler manifolds were discussed, and the complex mathematical aspects of Lagrangian operator, Lagrange＇s equation, the action functional, Hamilton＇ s principle, Hamilton＇ s equation and so on were given.展开更多
Let(M,g_(0))be a compact Riemannian manifold-with-boundary.We present a new proof of the classical Gaffney inequality for differential forms in boundary value spaces over M,via a variational approach a la Kozono-Yanag...Let(M,g_(0))be a compact Riemannian manifold-with-boundary.We present a new proof of the classical Gaffney inequality for differential forms in boundary value spaces over M,via a variational approach a la Kozono-Yanagisawa[Lr-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains,Indiana Univ.Math.J.58(2009),1853-1920],combined with global computations based on the Bochner technique.展开更多
We explore the impacts of economic and financial dislocations caused by COVID-19 pandemic shocks on food sales in the United States from January 2020 to January 2021.We use the US weekly economic index(WEI)to measure ...We explore the impacts of economic and financial dislocations caused by COVID-19 pandemic shocks on food sales in the United States from January 2020 to January 2021.We use the US weekly economic index(WEI)to measure economic dislocations and the Chicago Board Options Exchange volatility index(VIX)to capture the broader stock market dislocations.We validate the NARDL model by testing a battery of models using the autoregressive distributed lags(ARDL)methodology(ARDL,NARDL,and QARDL specifications).Our study postulates that an increase in WEI has a significant negative long-term effect on food sales,whereas a decrease in WEI has no statistically significant(long-run)effect.Thus,policy responses that ignore asymmetric effects and hidden cointegration may fail to promote food security during pandemics.展开更多
In this paper,we give a survey of our recent results on extension theorems on Kähler manifolds for holomorphic sections or cohomology classes of(pluri)canonical line bundles twisted with holomorphic line bundles ...In this paper,we give a survey of our recent results on extension theorems on Kähler manifolds for holomorphic sections or cohomology classes of(pluri)canonical line bundles twisted with holomorphic line bundles equipped with singular metrics,and also discuss their applications and the ideas contained in the proofs.展开更多
In this paper, we deal with a class of generalized Kirchhoff-Beam equations. At first, we take advantage of Hadamard’s graph to get the equivalent form of the original equations. Then, the inertial manifolds are prov...In this paper, we deal with a class of generalized Kirchhoff-Beam equations. At first, we take advantage of Hadamard’s graph to get the equivalent form of the original equations. Then, the inertial manifolds are proved by using spectral gap condition. We gain main result is that the family of inertial manifolds are established under the proper assumptions of nonlinear terms M(s) and N(s).展开更多
In this paper, we study the inertial manifolds for a class of asymmetrically coupled generalized Higher-order Kirchhoff equations. Under appropriate assumptions, we firstly exist Hadamard’s graph transformation metho...In this paper, we study the inertial manifolds for a class of asymmetrically coupled generalized Higher-order Kirchhoff equations. Under appropriate assumptions, we firstly exist Hadamard’s graph transformation method to structure a graph norm of a Lipschitz continuous function, then we prove the existence of a family of inertial manifolds by showing that the spectral gap condition is true.展开更多
The 2nd Hydrogen and Fuel Cell Industry Development Summit and ISO/TC 197 Strategic Planning Meeting,the1st International Expo on Hydrogen and Fuel Cell Technology and Product,hosted by China National Institute of Sta...The 2nd Hydrogen and Fuel Cell Industry Development Summit and ISO/TC 197 Strategic Planning Meeting,the1st International Expo on Hydrogen and Fuel Cell Technology and Product,hosted by China National Institute of Standardization and ISO/TC 197,was inaugurated in Foshan city,Guangdong province on December 6,2017.The event lasted for four days,and it is the first series of＂Hydrogen Energy Week＂activities in China.The theme of the event is＂hydrogen industry,hydrogen life,hydrogen tomorrow＂.展开更多
The 9-day China Fashion Week 2019 S/S Collection,themed with“Thriving Towards the Sun”,came to a successful close on November 2nd,2018,attracting more than 150 Chinese and foreign designers from over 140 brands to h...The 9-day China Fashion Week 2019 S/S Collection,themed with“Thriving Towards the Sun”,came to a successful close on November 2nd,2018,attracting more than 150 Chinese and foreign designers from over 140 brands to hold over 130 collection shows,professional design contests,press release,salon and forum as well as lectures in the Bird’s Nest Culture Center,the Banquet Hall of Beijing Hotel,751D?PARK,etc.The numbers of shows and designers,and the internationalized brands in this fashion week was the highest on record,showing its strong influence and attraction of the 21-year-old China Fashion Week in the new era that welcomes a promising contemporary Chinese fashion and Chinese creativity and a prosperous Chinese fashion industry development.展开更多
Organised by Hong Kong Trade Development Council(HKTDC),HKTDC Hong Kong Fashion Week for Spring/ Summer 2009 is not only an important sourcing platform for the global fashion industry,it is also a showcase for design ...Organised by Hong Kong Trade Development Council(HKTDC),HKTDC Hong Kong Fashion Week for Spring/ Summer 2009 is not only an important sourcing platform for the global fashion industry,it is also a showcase for design excellence.展开更多
Asia’s largest fashion events opened on Jan.18, 2010 in Hong Kong, showcasing the industry’s newest collections, looks and products and attracting nearly 2,000 exhibitors from 30
'NUOYI·Simplicity for Elegance'Knitwear Show2018 S/S was staged on the platform of China Fashion Week on October 31st,2017.Zhang Qinghui,Chairman of China Fashion Association,Yang Jian,Secretary-General o...'NUOYI·Simplicity for Elegance'Knitwear Show2018 S/S was staged on the platform of China Fashion Week on October 31st,2017.Zhang Qinghui,Chairman of China Fashion Association,Yang Jian,Secretary-General of China Fashion Week Organizing Committee,Qu Jing,Vice President of China Knitting Industry Association。展开更多
We utilize the topological-geometrical structure imposed by the Heterotic superstring theory on spacetime in conjunction with the K3 Kähler manifold to explain the mysterious nature of dark matter and its cou...We utilize the topological-geometrical structure imposed by the Heterotic superstring theory on spacetime in conjunction with the K3 Kähler manifold to explain the mysterious nature of dark matter and its coupling to the pure dark energy density of the cosmos. The analogous situations in the case of a Kerr black hole as well as the redundant components of the Riemannian tensor are pointed out and the final result was found to be in complete agreement with all previous theoretical ones as well as all recent accurate measurements and cosmic observations. We conclude by commenting briefly on the Cantorian model of Zitterbewegung and the connection between Olbers’s paradox and dark energy.展开更多
文摘In this paper, we study the inertial manifolds for a class of the Kirchhoff-type equations with strongly damped terms and source terms. The inertial manifold is a finite dimensional invariant smooth manifold that contains the global attractor, attracting the solution orbits by the exponential rate. Under appropriate assumptions, we firstly exert the Hadamard’s graph transformation method to structure a graph norm of a Lipschitz continuous function, and then we prove the existence of the inertial manifold by showing that the spectral gap condition is true.
文摘In this paper, we mainly deal with a class of higher-order coupled Kirch-hoff-type equations. At first, we take advantage of Hadamard’s graph to get the equivalent form of the original equations. Then, the inertial manifolds are proved by using spectral gap condition. The main result we gained is that the inertial manifolds are established under the proper assumptions of M(s) and gi(u,v), i=1, 2.
文摘Lagrangian mechanics on Kahler manifolds were discussed, and the complex mathematical aspects of Lagrangian operator, Lagrange＇s equation, the action functional, Hamilton＇ s principle, Hamilton＇ s equation and so on were given.
文摘Let(M,g_(0))be a compact Riemannian manifold-with-boundary.We present a new proof of the classical Gaffney inequality for differential forms in boundary value spaces over M,via a variational approach a la Kozono-Yanagisawa[Lr-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains,Indiana Univ.Math.J.58(2009),1853-1920],combined with global computations based on the Bochner technique.
基金financial interest(such as honorariaeducational grants+2 种基金participation in speakers’bureausmembership,employment,consultancies,stock ownership,or other equity interestand expert testimony or patent-licensing arrangements),or nonfinancial interest(such as personal or professional relationships,affiliations,knowledge or beliefs)in the subject matter or materials discussed in this manuscript.
文摘We explore the impacts of economic and financial dislocations caused by COVID-19 pandemic shocks on food sales in the United States from January 2020 to January 2021.We use the US weekly economic index(WEI)to measure economic dislocations and the Chicago Board Options Exchange volatility index(VIX)to capture the broader stock market dislocations.We validate the NARDL model by testing a battery of models using the autoregressive distributed lags(ARDL)methodology(ARDL,NARDL,and QARDL specifications).Our study postulates that an increase in WEI has a significant negative long-term effect on food sales,whereas a decrease in WEI has no statistically significant(long-run)effect.Thus,policy responses that ignore asymmetric effects and hidden cointegration may fail to promote food security during pandemics.
基金the National Natural Science Foundation of China(11688101 and 11431013)the National Natural Science Foundation of China(12022110,11201347 and 11671306).
文摘In this paper,we give a survey of our recent results on extension theorems on Kähler manifolds for holomorphic sections or cohomology classes of(pluri)canonical line bundles twisted with holomorphic line bundles equipped with singular metrics,and also discuss their applications and the ideas contained in the proofs.
文摘In this paper, we deal with a class of generalized Kirchhoff-Beam equations. At first, we take advantage of Hadamard’s graph to get the equivalent form of the original equations. Then, the inertial manifolds are proved by using spectral gap condition. We gain main result is that the family of inertial manifolds are established under the proper assumptions of nonlinear terms M(s) and N(s).
文摘In this paper, we study the inertial manifolds for a class of asymmetrically coupled generalized Higher-order Kirchhoff equations. Under appropriate assumptions, we firstly exist Hadamard’s graph transformation method to structure a graph norm of a Lipschitz continuous function, then we prove the existence of a family of inertial manifolds by showing that the spectral gap condition is true.
文摘The 2nd Hydrogen and Fuel Cell Industry Development Summit and ISO/TC 197 Strategic Planning Meeting,the1st International Expo on Hydrogen and Fuel Cell Technology and Product,hosted by China National Institute of Standardization and ISO/TC 197,was inaugurated in Foshan city,Guangdong province on December 6,2017.The event lasted for four days,and it is the first series of＂Hydrogen Energy Week＂activities in China.The theme of the event is＂hydrogen industry,hydrogen life,hydrogen tomorrow＂.
文摘The 9-day China Fashion Week 2019 S/S Collection,themed with“Thriving Towards the Sun”,came to a successful close on November 2nd,2018,attracting more than 150 Chinese and foreign designers from over 140 brands to hold over 130 collection shows,professional design contests,press release,salon and forum as well as lectures in the Bird’s Nest Culture Center,the Banquet Hall of Beijing Hotel,751D?PARK,etc.The numbers of shows and designers,and the internationalized brands in this fashion week was the highest on record,showing its strong influence and attraction of the 21-year-old China Fashion Week in the new era that welcomes a promising contemporary Chinese fashion and Chinese creativity and a prosperous Chinese fashion industry development.
文摘Organised by Hong Kong Trade Development Council(HKTDC),HKTDC Hong Kong Fashion Week for Spring/ Summer 2009 is not only an important sourcing platform for the global fashion industry,it is also a showcase for design excellence.
文摘Asia’s largest fashion events opened on Jan.18, 2010 in Hong Kong, showcasing the industry’s newest collections, looks and products and attracting nearly 2,000 exhibitors from 30
文摘'NUOYI·Simplicity for Elegance'Knitwear Show2018 S/S was staged on the platform of China Fashion Week on October 31st,2017.Zhang Qinghui,Chairman of China Fashion Association,Yang Jian,Secretary-General of China Fashion Week Organizing Committee,Qu Jing,Vice President of China Knitting Industry Association。
文摘We utilize the topological-geometrical structure imposed by the Heterotic superstring theory on spacetime in conjunction with the K3 Kähler manifold to explain the mysterious nature of dark matter and its coupling to the pure dark energy density of the cosmos. The analogous situations in the case of a Kerr black hole as well as the redundant components of the Riemannian tensor are pointed out and the final result was found to be in complete agreement with all previous theoretical ones as well as all recent accurate measurements and cosmic observations. We conclude by commenting briefly on the Cantorian model of Zitterbewegung and the connection between Olbers’s paradox and dark energy.
