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Asymptotic Solution of Quasi-Linear Singularly Perturbed Boundary Value Problems with Singular Equation

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Wuhan university Journal of Natural sciences 2010年第2期15卷 127-129页

作者： chen lihua1, mo jiaqi2,3 1. Department of math.matics and computer science, fuqing branch of fujian normal university, fuqing 350300, fujian, China 2. Department of math.matics, anhui normal university, wuhu 241000, anhui, China 3. Division of Computational science, E-Institutes of Shanghai Universities at Shanghai Jiao Jong university, Shanghai 200240, China Department of math.matics and computer science Fuqing Branch of Fujian Normal University Fuqing China Department of math.matics Anhui Normal University Wuhu China Division of Computational science E-Institutes of Shanghai Universities at Shanghai Jiao Jong University Shanghai China

A class of quasi-linear singularly perturbed boundary value problems with singular equation is considered. Under suitable conditions, the existence and asymptotic behavior of a solution for the boundary value problem are studied by using the theory of differential inequalities, and the uniformly valid asymptotic expansion of solution with boundary layer is obtained.

关键词： nonlinear singular equation singular perturbation boundary value problem

THE INITIAL-BOUNDARY VALUE PROBLEMS OF NONLINEAR AND NONLOCAL SINGULARLY PERTURBED REACTION DIFFUSION SYSTEM

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Annals of Differential Equations 2008年第1期24卷 20-28页

作者： Liu Shude~1 chen lihua~2 mo jiaqi~(1,3) (1.dept.of math.,anhui normal university,wuhu 241000,anhui 2.dept.of math.,fuqing branch of fujian normal university,fuqing 350300,fujian 3.Division of Computational science,E-Institutes of Shanghai Universities,at SJTU,Shanghai 200240)

In this paper the initial-boundary value problem for nonlocal singularly perturbed reaction diffusion system are *** the iterative method and the compa- rison theorem,the existence and asymptotic behavior of the solut... 详细信息

关键词： reaction diffusion system singular perturbation initial boundary value problem

THE CORNER LAYER SOLUTION TO ROBIN PROBLEM FOR REACTION DIFFUSION EQUATION

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Annals of Differential Equations 2012年第2期28卷 132-136页

作者： lihua chen (dept. of math. and computer science, fuqing branch of fujian normal university, fuqing 350300, fujian) Zhaohui Wen (Institute of Applied math., School of Statistics and Applied math.matics, anhui university of Finance and Economics, Bengbu 233030, anhui) cheng Ouyang (Faculty of science, Huzhou Teacher College, Huzhou 313000, Zhejiang) jiaqi mo (dept. of math., anhui normal university, wuhu 241003, anhui)

A class of Robin boundary value problem for reaction diffusion equation is considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptotic behavior of the corner layer... 详细信息

关键词： corner layer asymptotic solution Robin problem

Solvability for Nonlinear Reaction Diffusion Equation with Boundary Perturbation

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Wuhan university Journal of Natural sciences 2009年第6期14卷 481-483页

作者： chen lihua1, mo jiaqi2,3 1. Department of math.matics and computer science, fujian normal university, fuqing 350300, fujian, China 2. Department of math.matics, anhui normal university, wuhu 241000, anhui, China 3. Division of Computational science, E-Institutes of Shanghai Universities at Shanghai Jiao Tong university, Shanghai 200240, China Department of math.matics and computer science Fujian Normal University Fuqing 350300 Fujian China Department of math.matics Anhui Normal University Wuhu 241000 Anhui China Division of Computational science E-Institutes of Shanghai Universities at Shanghai Jiao Tong University Shanghai 200240 China

In this paper, the nonlinear reaction diffusion equation with boundary perturbation is considered. Using discussions on solvability, the perturbed solution of original problem is obtained, and the uniform validity of ... 详细信息

关键词： perturbation nonlinear reaction diffusion equation solvability

Perturbed Solving Method for Interdecadal Sea-air Oscillator model

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Chinese Geographical science 2012年第1期22卷 42-47页

作者： mo jiaqi LIN Yihua LIN Wantao chen lihua Department of math.matics Anhui Normal University Wuhu 241003 China Division of Computational science E-Institutes of Shanghai Universities at Shanghai Jiaotong University Shanghai 200240 China State Key Laboratory of Numerical modeling for Atmospheric sciencens and Geophysical Fluid Dynamic Institute of Atmospheric Physics Chinese Academy of Sciences Beijing 100029 China Department of math.matics and computer science Fuqing Branch of Fujian Normal University Fuqing 350300 China

A coupled system of the interdecadal sea-air oscillator model is studied. The E1 Nifio-southem 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.

关键词： nonlinear equation perturbation E1 Nifio-southern oscillator model interdecadal sea-air oscillator

Reaction Diffusion Equations for Nonlinear Boundary Conditions

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Wuhan university Journal of Natural sciences 2013年第3期18卷 237-240页

作者： chen lihua DU Zengji mo jiaqi Department of math.matics and computer science Fuqing Branch of Fujian Normal University School of math.matical sciences Jiangsu Normal University Department of math.matics Anhui Normal University

A class of singularly perturbed initial boundary value problems of reaction diffusion equations for nonlinear boundary conditions is *** suitable conditions,by using the theory of differential inequalities,the existence and asymptotic behavior of solution for initial boundary value problem are ***,the obtained solution indicates that there are initial and boundary layers,and the thickness of the initial layer is less than that of the boundary layer.

关键词： nonlinear two parameters singular perturbation reaction diffusion equation

Shock Solution for a Class of Nonlinear Elliptic Equation

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Wuhan university Journal of Natural sciences 2011年第4期16卷 282-284页

作者： chen lihua YAO Jingsun mo jiaqi Department of math.matics and computer science Fuqing Branch of Fujian Normal University Fuqing 350300 Fujian China Department of math.matics Anhui Normal University Wuhu 241003 Anhui China Division of Computational science E-Institutes of Shanghai Universities at SJTU Shanghai 200240 China

The boundary value problem for the nonlinear elliptic equation is considered. The outer solution for the original problem is obtained. The boundary and interior layer correction terms are constructed by introducing stretched variables and setting local coordinate systems near the boundary and interior discontinuous point of outer solution. Under suitable conditions, using the differential inequalities and the mean value theorem, the existence of the shock solution for boundary value problem is proved and the asymptotic behavior of the solution is studied.

关键词： shock elliptic equation asymptotic solution

THE SOLVABILITY FOR NONLINEAR SINGULARLY PERTURBED DIFFERENTIAL SYSTEM

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Annals of Differential Equations 2007年第3期23卷 358-364页

作者： Yao Jingsun chen lihua mo jiaqi dept. of math. Anhui Normal University Wuhu 241000 Anhui dept. of math. Fuqing Branch of Fujian Normal University Fuqing 350300 Fujian dept. of math. Huzhou Teachers College Huzhou 313000 Zhejiang

The solvability for the nonlinear singularly perturbed boundary value problem of differential system is considered. Using the boundary layer corrective method the formal asymptotic solution is constructed. And using t... 详细信息

关键词： solvability singular perturbation differential system boundary layer