A coupled system of the interdecadal sea-air oscillator model is studied.The El Nio-southern oscillation(ENSO) atmospheric physics oscillation is an abnormal phenomenon involved in the tropical Pacific ocean-atmosph...A coupled system of the interdecadal sea-air oscillator model is studied.The El Nio-southern oscillation(ENSO) atmospheric physics oscillation is an abnormal phenomenon involved in the tropical Pacific ocean-atmosphere interactions.The oscillator model is involved with the variations of both the eastern and western Pacific anomaly pat-terns.This paper proposes an ENSO atmospheric physics model using a method of the perturbation theory.The aim is to create an asymptotic solving method for the ENSO model.Employing the perturbed method,the asymptotic solution of corresponding problem is obtained,and the asymptotic behaviour of the solution is studied.Thus we can obtain the prognoses of the sea surface temperature anomaly and related physical quantities.展开更多
A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global cli-mate is considered. By using the multi-scales method, the asymptotic solution of a simplified weakly nonlinear mode...A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global cli-mate is considered. By using the multi-scales method, the asymptotic solution of a simplified weakly nonlinear model is discussed. Firstly, by introducing first scale, the zeroth order approximate solution of the model is obtained. Sec-ondly, by using the multi-scales, the first order approximate equation of the model is found. Finally, second order ap-proximate equation is formed to eliminate the secular terms, and a uniformly valid asymptotic expansion of solution is decided. The multi-scales solving method is an analytic method which can be used to analyze operation sequentially. And then we can also study the diversified qualitative and quantitative behaviors for corresponding physical quantities. This paper aims at providing a valid method for solving a box model of the nonlinear equation.展开更多
A class of E1 Niйo atmospheric physics oscillation model is considered. The E1 Niйo atmospheric physics oscillation is an abnormal phenomenon involved in the tropical Pacific ocean-atmosphere interactions. The conce...A class of E1 Niйo atmospheric physics oscillation model is considered. The E1 Niйo atmospheric physics oscillation is an abnormal phenomenon involved in the tropical Pacific ocean-atmosphere interactions. The conceptual oscillator model should consider the variations of both the eastern and western Pacific anomaly patterns. An E1 Niйo atmospheric physics model is proposed using a method for the variational iteration theory. Using the variational iteration method, the approximate expansions of the solution of corresponding problem are constructed. That is, firstly, introducing a set of functional and accounting their variationals, the Lagrange multiplicators are counted, and then the variational iteration is defined, finally, the approximate solution is obtained. From approximate expansions of the solution, the zonal sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the sea-air oscillation for E1 Niйo atmospheric physics model can be analyzed. E1 Niйo is a very complicated natural phenomenon. Hence basic models need to be reduced for the sea-air oscillator and are solved. The variational iteration is a simple and valid approximate method.展开更多
The perturbed boundary undercurrent is an exceptional event in the tropical atmosphere and ocean.It is a complicated nonlinear system.Its appearance badly affects not only natural conditions such as climate and enviro...The perturbed boundary undercurrent is an exceptional event in the tropical atmosphere and ocean.It is a complicated nonlinear system.Its appearance badly affects not only natural conditions such as climate and environment,but also global economic development and human living,and brings about many calamities.Thus there is very attractive study on its rules in the international academic circles.Many scholars made more studies on its local and whole be-haviors using different methods,such as self-anamnestic principle,Fokker-Plank Equation method,higher order singular pedigree and predictable study,rapid change on boundary,indeterminate adaptive control,multi-cogradient method and so on.Nonlinear perturbed theory and approximate method are very attractive studies in the international academic circles.Many scholars considered a class of nonlinear problems for the ordinary differential equation,the reaction dif-fusion equations,the boundary value of elliptic equation,the initial boundary value of hyperbolic equation,the shock layer solution of nonlinear equation and so on.In this paper,a class of perturbed mechanism for the western boundary undercurrents in the equator Pacific is considered.Under suitable conditions,using a homotopic mapping theory and method,we obtain a simple and rapid arbitrary order approximate solution for the corresponding nonlinear system.For example,a special case shows that using the homotopic mapping method,there is a high accuracy for the computed value.It is also provided from the results that the solution for homotopic mapping solving method can be used for analyzing operator for perturbed mechanism of western boundary undercurrents in the equator Pacific.展开更多
随着自然语言处理(Natural Language Processing,NLP)技术的发展,其对各行各业的发展注入了新的动力,同时在网络教育快速发展的背景下,二者的有机融合也便成为热点。本文提出基于浏览器/服务器(Browser/Server,B/S)模式,通过建立录题模...随着自然语言处理(Natural Language Processing,NLP)技术的发展,其对各行各业的发展注入了新的动力,同时在网络教育快速发展的背景下,二者的有机融合也便成为热点。本文提出基于浏览器/服务器(Browser/Server,B/S)模式,通过建立录题模板实现对试题的分割和录入,借助Textrank4zh和word2vec模块,建立以TextRank算法为基础的隐马尔可夫模型完成组卷功能,完成以Vue.js框架为前端和Flask框架为后端的题库考试系统的设计与实现。该项目在减轻教师工作量的同时可更好地考察学生知识掌握的程度。展开更多
The thermally and wind-driven ocean circulation is a complicated natural phenomenon in the atmospheric physics. Hence we need to reduce it using basic models and solve the models using approximate methods. A non-linea...The thermally and wind-driven ocean circulation is a complicated natural phenomenon in the atmospheric physics. Hence we need to reduce it using basic models and solve the models using approximate methods. A non-linear model of the thermally and wind-driven ocean circulation is used in this paper. The results show that the zero solution of the linear equation is a stable focus point, which is the path curve trend origin point as time (t) trend to infinity. By using the homotopic mapping perturbation method, the exact solution of the model is obtained. The homotopic mapping perturbation method is an analytic solving method, so the obtained solution can be used for analytic operating sequentially. And then we can also obtain the diversified qualitative and quantitative behaviors for corresponding physical quantities.展开更多
A class of coupled system of the E1 Nino/La Nina-Southern Oscillation （ENSO） mechanism is studied. Using the perturbed theory, the asymptotic expansions of the solution for ENSO model are obtained and the asymptotic...A class of coupled system of the E1 Nino/La Nina-Southern Oscillation （ENSO） mechanism is studied. Using the perturbed theory, the asymptotic expansions of the solution for ENSO model are obtained and the asymptotic behavior of solution for corresponding problem is considered.展开更多
The singularly perturbed boundary value problems for the semilinear elliptic equation of higher order are considered. Under suitable conditions and by using the fixed point theorem the existence, uniqueness and asympt...The singularly perturbed boundary value problems for the semilinear elliptic equation of higher order are considered. Under suitable conditions and by using the fixed point theorem the existence, uniqueness and asymptotic behavior of solution for the boundary value problems are studied.展开更多
The solvability of nonlinear elliptic equation with boundary perturbation is consid- ered. The perturbed solution of original problem is obtained and the uniformly valid expansion of solution is proved.
In this paper,a singularly perturbed problem for the stable fluid flow is considered.As supersonic speed at upper reaches and subsonic speed at lower reaches in a duct,the position of shock layer is analyzed and the a...In this paper,a singularly perturbed problem for the stable fluid flow is considered.As supersonic speed at upper reaches and subsonic speed at lower reaches in a duct,the position of shock layer is analyzed and the asymptotic estimation of solution is obtained.展开更多
In this paper,a class of singular perturbation of nonlocal boundary value problems for elliptic partial differential equations of higher order is considered by using the differential inequalities.The uniformly valid a...In this paper,a class of singular perturbation of nonlocal boundary value problems for elliptic partial differential equations of higher order is considered by using the differential inequalities.The uniformly valid asymptotic expansion of solution is obtained.展开更多
Singularly perturbed problems for the nonlinear elliptic systems in a strip domain are considered. Under suitable conditions, by using the comparison theorem, the existence and asymptotic behavior of solution for the ...Singularly perturbed problems for the nonlinear elliptic systems in a strip domain are considered. Under suitable conditions, by using the comparison theorem, the existence and asymptotic behavior of solution for the boundary value problems are studied.展开更多
基金Under the auspices of National Natural Science Foundation of China (No.40876010)Key Direction in Knowledge Innovation Programs of Chinese Academy of Sciences (No. KZCX2-YW-Q03-08)+2 种基金Research and Development Special Fund for Public Welfare Industry (Meteorology) (No. GYHY200806010)LASG State Key Laboratory Special Fund, Foundation of E-Institutes of Shanghai Municipal Education Commission (No.E03004)Natural Science Foundation of Education Department of Fujian Province (No.JA10288)
文摘A coupled system of the interdecadal sea-air oscillator model is studied.The El Nio-southern oscillation(ENSO) atmospheric physics oscillation is an abnormal phenomenon involved in the tropical Pacific ocean-atmosphere interactions.The oscillator model is involved with the variations of both the eastern and western Pacific anomaly pat-terns.This paper proposes an ENSO atmospheric physics model using a method of the perturbation theory.The aim is to create an asymptotic solving method for the ENSO model.Employing the perturbed method,the asymptotic solution of corresponding problem is obtained,and the asymptotic behaviour of the solution is studied.Thus we can obtain the prognoses of the sea surface temperature anomaly and related physical quantities.
基金Under the auspices of National Natural Science Foundation of China (No. 40676016, No. 10471039)National Key Project for Basics Research (No. 2003CB415101-03, No. 2004CB418304)+1 种基金Key Project of Chinese Academy of Sciences (No. KZCX3-SW-221)E-Insitutes of Shanghai Municipal Education Commission (No. E03004)
文摘A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global cli-mate is considered. By using the multi-scales method, the asymptotic solution of a simplified weakly nonlinear model is discussed. Firstly, by introducing first scale, the zeroth order approximate solution of the model is obtained. Sec-ondly, by using the multi-scales, the first order approximate equation of the model is found. Finally, second order ap-proximate equation is formed to eliminate the secular terms, and a uniformly valid asymptotic expansion of solution is decided. The multi-scales solving method is an analytic method which can be used to analyze operation sequentially. And then we can also study the diversified qualitative and quantitative behaviors for corresponding physical quantities. This paper aims at providing a valid method for solving a box model of the nonlinear equation.
文摘A class of E1 Niйo atmospheric physics oscillation model is considered. The E1 Niйo atmospheric physics oscillation is an abnormal phenomenon involved in the tropical Pacific ocean-atmosphere interactions. The conceptual oscillator model should consider the variations of both the eastern and western Pacific anomaly patterns. An E1 Niйo atmospheric physics model is proposed using a method for the variational iteration theory. Using the variational iteration method, the approximate expansions of the solution of corresponding problem are constructed. That is, firstly, introducing a set of functional and accounting their variationals, the Lagrange multiplicators are counted, and then the variational iteration is defined, finally, the approximate solution is obtained. From approximate expansions of the solution, the zonal sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the sea-air oscillation for E1 Niйo atmospheric physics model can be analyzed. E1 Niйo is a very complicated natural phenomenon. Hence basic models need to be reduced for the sea-air oscillator and are solved. The variational iteration is a simple and valid approximate method.
基金Under the auspices of the National Natural Science Foundation of China (No. 40576012, No. 40676016, No. 10471039), the State Key Program for Basic Research of China (No. 2003CB415101-03, No. 2004CB418304), the Key Project of the Chinese Academy of Sciences (No. KZCX3-SW-221), E-Institutes of Shanghai Municipal Education Commission (No. N.E03004)
文摘The perturbed boundary undercurrent is an exceptional event in the tropical atmosphere and ocean.It is a complicated nonlinear system.Its appearance badly affects not only natural conditions such as climate and environment,but also global economic development and human living,and brings about many calamities.Thus there is very attractive study on its rules in the international academic circles.Many scholars made more studies on its local and whole be-haviors using different methods,such as self-anamnestic principle,Fokker-Plank Equation method,higher order singular pedigree and predictable study,rapid change on boundary,indeterminate adaptive control,multi-cogradient method and so on.Nonlinear perturbed theory and approximate method are very attractive studies in the international academic circles.Many scholars considered a class of nonlinear problems for the ordinary differential equation,the reaction dif-fusion equations,the boundary value of elliptic equation,the initial boundary value of hyperbolic equation,the shock layer solution of nonlinear equation and so on.In this paper,a class of perturbed mechanism for the western boundary undercurrents in the equator Pacific is considered.Under suitable conditions,using a homotopic mapping theory and method,we obtain a simple and rapid arbitrary order approximate solution for the corresponding nonlinear system.For example,a special case shows that using the homotopic mapping method,there is a high accuracy for the computed value.It is also provided from the results that the solution for homotopic mapping solving method can be used for analyzing operator for perturbed mechanism of western boundary undercurrents in the equator Pacific.
文摘随着自然语言处理(Natural Language Processing,NLP)技术的发展,其对各行各业的发展注入了新的动力,同时在网络教育快速发展的背景下,二者的有机融合也便成为热点。本文提出基于浏览器/服务器(Browser/Server,B/S)模式,通过建立录题模板实现对试题的分割和录入,借助Textrank4zh和word2vec模块,建立以TextRank算法为基础的隐马尔可夫模型完成组卷功能,完成以Vue.js框架为前端和Flask框架为后端的题库考试系统的设计与实现。该项目在减轻教师工作量的同时可更好地考察学生知识掌握的程度。
基金Under the auspices of National Natural Science Foundation of China(No.40876010)Main Direction Program of Knowledge Innovation Programs of the Chinese Academy of Sciences(No.KZCX2-YW-Q03-08)+3 种基金R & D Special Fund for Public Welfare Industry(meteorology)(No.GYHY200806010)LASG State Key Laboratory Special FundFoundation of Shanghai Municipal Education Commission(No.E03004)Natural Science Foundation of Zhejiang Province(No.Y6090164)
文摘The thermally and wind-driven ocean circulation is a complicated natural phenomenon in the atmospheric physics. Hence we need to reduce it using basic models and solve the models using approximate methods. A non-linear model of the thermally and wind-driven ocean circulation is used in this paper. The results show that the zero solution of the linear equation is a stable focus point, which is the path curve trend origin point as time (t) trend to infinity. By using the homotopic mapping perturbation method, the exact solution of the model is obtained. The homotopic mapping perturbation method is an analytic solving method, so the obtained solution can be used for analytic operating sequentially. And then we can also obtain the diversified qualitative and quantitative behaviors for corresponding physical quantities.
基金The National Natural Science Foundation of China under contract Nos 90111011 and 10471039the National Key Project for Basics Research of China under contract Nos 2003CB415101-03 and 2004CB418304+1 种基金the Knowledge Innovation Project of the Chinese Academy of Sciences under contract NO.KZCXZ-YW-Q03-08LASG State Key Laboratory Special Fund and the E-Insitutes of Shanghai Municipal Education Commission under contract NO.N.E03004
文摘A class of coupled system of the E1 Nino/La Nina-Southern Oscillation （ENSO） mechanism is studied. Using the perturbed theory, the asymptotic expansions of the solution for ENSO model are obtained and the asymptotic behavior of solution for corresponding problem is considered.
文摘The singularly perturbed boundary value problems for the semilinear elliptic equation of higher order are considered. Under suitable conditions and by using the fixed point theorem the existence, uniqueness and asymptotic behavior of solution for the boundary value problems are studied.
基金Supported by the National Natural Science Foundation of China(40676016,10471039)National Key Project for Basic Research(2004CB418304)+1 种基金Key Project of the Chinese Academy of Sciences(KZCX3-SW-221)in part by E-Institutes of Shanghai Municipal Education Commission(N.E03004)
文摘The solvability of nonlinear elliptic equation with boundary perturbation is consid- ered. The perturbed solution of original problem is obtained and the uniformly valid expansion of solution is proved.
文摘In this paper,a singularly perturbed problem for the stable fluid flow is considered.As supersonic speed at upper reaches and subsonic speed at lower reaches in a duct,the position of shock layer is analyzed and the asymptotic estimation of solution is obtained.
文摘In this paper,a class of singular perturbation of nonlocal boundary value problems for elliptic partial differential equations of higher order is considered by using the differential inequalities.The uniformly valid asymptotic expansion of solution is obtained.
文摘Singularly perturbed problems for the nonlinear elliptic systems in a strip domain are considered. Under suitable conditions, by using the comparison theorem, the existence and asymptotic behavior of solution for the boundary value problems are studied.
