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The Weak Solutions to initial boundary value problem for Boltzmann-Poisson System

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Chinese Quarterly Journal of Mathematics 2003年第3期18卷 302-309页

作者： XUJi-iun GUORui-qiang CUIGuo-zhong DepartmentofMathematics ZhengzhouTeacher‘sCollegeZhengzhou450052China DepartmentofBasicCourses HenanNationalitySchoolZhengzhou450005China DepartmentofAppliedMathemat-ics UniversityofInformationandEngineeringZhengzhou450002Chitin

In this paper, the global existence of weak s olutions to the initial boundary value problem for Boltzmann-Poisson system is proved. The proof is based on the regularization and the stability of the veloci ty averages... 详细信息

关键词： weak solution global existence system Boltzmann- Poisson equations initial boundary value problem

Global Weak Solutions of initial boundary value problem for Boltzmann-Poisson System with Absorbing boundary

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Northeastern Mathematical Journal 2002年第1期18卷 33-43页

作者：崔国忠张志平江成顺 Depart. of Appl. Math. Information Engineering University Zhengzhou 450002 Department of Mathematics Henan University Kaifeng Henan 475001

This paper deals with the initial boundary value problem for the Boltzmann-Poisson system, which arises in semiconductor physics, with absorbing boundary. The global existence of weak solutions is proved by using the stability of velocity averages and the compactness results on L1-theory under weaker conditons on initial boundary values.

关键词： global weak solution Boltzmann-Poisson system initial boundary value problem

Blow-up of the Solutions of the initial boundary value problem of Camassa-Holm Equation

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Wuhan University Journal of Natural Sciences 2005年第6期10卷 961-965页

作者： ZHU Xu-sheng WANG Wei-ke School of Mathematics and Statistics Wuhan University Wuhan 430072 Hubei China Department of Mathematics East China Jiaotong University Nanchang 330013 Jiangxi China

Any classical non-null solution to the initial boundary value problem of Camassa-Holm equation on finite interval with homogeneous boundary condition must blow up in finite time. An initial boundary value problem of CamassaHolm equation on half axis is also investigated in this paper. When the initial potential is nonnegative,then the classical solution exists globally; if the derivative of initial data on zero point is nonpositire, then the life span of nonzero solution nmst be finite.

关键词： Camassa-Holm equation initial boundary value problem blow-up

GLOBAL SOLUTIONS TO AN initial boundary value problem FOR THE MULLINS EQUATION

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Journal of Partial Differential Equations 2007年第1期20卷 30-44页

作者： Hans-Dieter Alber Zhu Peicheng Department of Mathematics Darmstadt University of Technology Schlossgartenstr. 7 64289 Darmstadt Germany

In this article we study the global existence of solutions to an initial boundary value problem for the Mullins equation which describes the groove development at the grain boundaries of a heated polycrystal, both the Dirichlet and the Neumann boundary conditions are considered. For the classical solution we also investigate the large time behavior, it is proved that the solution converges to a constant, in the L^∞（Ω）-norm, as time tends to infinity.

关键词： Mullins equation initial boundary value problem global solutions.

THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR THE SINGULARLY PERTURBED initial boundary value problemS OF THE REACTION DIFFUSION EQUATIONS IN A PART OF DOMAIN

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Applied Mathematics and Mechanics(English Edition) 2001年第10期22卷 1192-1197页

作者： LIU Qi-lin(刘其林) MO Jia-qi(莫嘉琪) Department of Mathematics Nanjing University Nanjing 210093 P R China Department of Mathematics Huzhou Teachers CollegeHuzhou 313000 P R China

A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered. Using the operator theory the asymptotic behavior of solution for the problems i... 详细信息

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

The Nonlinear Singularly Perturbed initial boundary value problems of Nonlocal Reaction Diffusion Systems

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Acta Mathematicae Applicatae Sinica 2006年第2期22卷 277-286页

作者： Jia-qi Mo Wan-tao Lin Department of Mathematics Huzhou Teachers College Huzhou 313000 China Division of Computational Science E-Institutes of Shanghai Universities at SJTU Shanghai 200240 China LASC Institute of Atmosheric Physics Chinese Academy of Sciences Beijing 100029 China

In this paper the singularly perturbed initial boundary value problems for the nonlocal reaction diffusion system are considered. Using the iteration method and the comparison theorem, the existence and its asymptotic... 详细信息

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

The Singularly Perturbed Nonlinear Nonlocal initial boundary value problems for Reaction Diffusion Equations

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Northeastern Mathematical Journal 2006年第3期22卷 260-264页

作者：莫嘉琪 Department of Mathematics Anhui Normal University Division of Computational Science E-Institutes of Shanghai Universities at SJTUShanghai200240

The singularly perturbed nonlinear noniocal initial boundary value problem for reaction diffusion equations is discussed. Under suitable conditions, the outer solution of the original problem is obtained. By using the stretched variable, the composing expansion method and the expanding theory of power series the initial layer is constructed. By using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems are studied, and by educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation are considered.

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

Global Existence and Energy Decay for a Coupled System of Kirchhoff Type Equations with Damping and Source Terms

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Acta Mathematicae Applicatae Sinica 2016年第3期32卷 731-738页

作者： Yao-jun YE Department of Mathematics and Information Science Zhejiang University of Science and Technology Hangzhou 310023 China

This paper deals with the global existence and energy decay of solutions to some coupled system of Kirchhoff type equations with nonlinear dissipative and source terms in a bounded domain. We obtain the global existence by defining the stable set in H0^1 （Ω） × H1 （Ω）, and the energy decay of global solutions is given by applying a lemma of V. Komornik.

关键词： a coupled system of Kirchhoff-type equation initial boundary value problem global solutions energy decay

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广义KdV方程初边值问题的全局古典解

Northeastern Mathematical Journal 1994年第2期10卷 199-207页

作者：苗晨霞

The existence and uniqueness of global classical solution to the initial boundary value prob lem for generalized KdV equatinn with homogeneous boundary value are obtained.

关键词： and Phrases Generalized KdV Equation Global Solution initial boundary value problem Generalized KdV Equation