检索结果-南通市图书馆

ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE SYSTEM OF ONE DIMENSIONAL NONLINEAR THERMOVISCOELASTICITY

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 1998年第2期19卷 143-152页

作者： HSIAO LING jian huaiyu Institute of Mathematics Academia Sinica Beijing 100080 China Department of Applied Mathematics Tsinghua University Beijing 100084 China

The authors study the large-time behaviour of global smooth solutions to initial-boundary value problems for the system of one-dimensional nonlinear thermoviscoelasticity. It is found that the solution may possess phase transition phenomena when the material is not monotone, and the solution may decay to a stable state for the monotone case.

关键词： Asymptotic behavior Nonlinear thermoviscoelasticity Initial boundaryvalue problem

A singular Monge-Ampère equation on unbounded domains

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2018年第8期61卷 1473-1480页

作者： huaiyu jian You Li Department of Mathematical Sciences Tsinghua University

In this paper, we study the Dirichlet problem for a singular Monge-Amp`ere type equation on unbounded domains. For a few special kinds of unbounded convex domains, we find the explicit formulas of the solutions to the problem. For general unbounded convex domain ?, we prove the existence for solutions to the problem in the space C∞(?) ∩ C(?). We also obtain the local C1/2-estimate up to the ?? and the estimate for the lower bound of the solutions.

关键词： Dirichlet problem singular Monge-Ampere equation unbounded domain

A boundary expansion of solutions to nonlinear singular elliptic equations

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2022年第1期65卷 9-30页

作者： huaiyu jian jian Lu Xu-Jia Wang Department of Mathematical Sciences Tsinghua UniversityBeijing 100084China Centre for Mathematics and Its Applications The Australian National UniversityCanberraACT 0200Australia South China Research Center for Applied Mathematics and Interdisciplinary Studies South China Normal UniversityGuangzhou 510631China

In this paper we establish an asymptotic expansion near the boundary for solutions to the Dirichlet problem of elliptic equations with singularities near the *** expansion formula shows the singularity profile of solutions at the *** deal with both linear and nonlinear elliptic equations,including fully nonlinear elliptic equations and equations of Monge-Ampère type.

关键词： boundary asymptotic expansion singular nonlinear elliptic equations Dirichlet problem

A curve flow evolved by a fourth order parabolic equation

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2009年第10期52卷 2177-2184页

作者： LIU YanNan jian huaiyu School of computer science and information engineering Beijing Technology and Business UniversityBeijing 100048China Department of Mathematical Sciences Tsinghua UniversityBeijing 100084China

We study a fourth order curve flow, which is the gradient flow of a functional describing the shapes of human red blood cells. We prove that for any smooth closed initial curve in ?2, the flow has a smooth solution fo... 详细信息

关键词： geometric evolution equations fourth order energy estimate 35J60 35K45 52K44 53A05

The hyper-surfaces with two linear dependent mean curvature functions in space forms

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2011年第12期54卷 2635-2650页

作者： LIU Jin jian huaiyu Department of Mathematical Sciences Tsinghua University Beijing 100084 China

We formulate a class of functionals in space forms such that its critical points include the r-minimal hyper-surface and the minimal hyper-surface as special cases. We obtain the algebraic, differential and variational characteristics of the critical surfaces determined by the critical points. We prove the Simons' type nonexistence theorem which indicates that in the unit sphere, there exists no stable critical surfaces, and the Alexandrov's type existence theorem which indicates that in Euclidean space, the sphere is the only stable critical surfaces.

关键词： r-th mean curvature function minimal surfaces Lr operator stability

The Existence and Long-Time Behavior of Weak Solution to Bipolar Quantum Drift-Diffusion Model

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 2007年第6期28卷 651-664页

作者： Xiuqing CHEN Li CHEN huaiyu jian School of Sciences Beijing University of Posts and Telecommunications Beijing 100876 China Department of Mathematical Sciences Tsinghua University Beijing 100084 China

The authors study the existence and long-time behavior of weak solutions to the bipolar transient quantum drift-diffusion model,a fourth order parabolic *** semi-discretization in time and entropy estimate,the authors get the global existence of nonnegative weak solutions to the one-dimensional model with nonnegative initial and homogenous Neumann(or periodic)boundary ***,by a logarithmic Sobolev inequality,it is proved that the periodic weak solution exponentially approaches its mean value as time increases to infinity.

关键词： Quantum drift-diffusion Weak solution Long-time behavior

Γ-CONVERGENCE OF INTEGRAL FUNCTIONALS DEPENDING ON VECTOR-VALUED FUNCTIONS OVER PARABOLIC DOMAINS

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 2000年第2期21卷 249-258页

作者： jian huaiyu(Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China.) Department of Mathematical Sciences Tsinghua University Beijing 100084 China

This paper studies Γ-convergence for a sequence of parabolic functionals, where the integrand f is nonconvex, and periodic on the first variable. The author obtains the representation formula of the Γ-limit. The results in this paper support a conclusion which relates Γ-convergence of parabolic functionals to the associated gradiend flows and confirms one of De Giorgi’s conjectures partially.

关键词： Γ-convergence Parabolic-minima Nonconvex functionals Parabolic equations

Orbital Instability of Standing Waves for the Klein-Gordon-Zakharov System

在线全文

学校读者我要写书评

暂无评论

数学进展 2008年第1期37卷 118-120页

作者：甘在会蒋毅 jian huaiyu College of Mathematics and Software Science Sichuan Normal University Chengdu Sichuan 610068 P. R China 不详

0 Introduction We consider the orbital instability of standing waves for the Klein-Gordon-Zakharov system with different propagation speeds in three space

关键词：轨道不稳定性驻波 Klein-Gordon-Zakharov系统定理

On the Cauchy Problem for Certain System of Semilinear Parabolic Equations

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 1998年第1期14卷 27-34页

作者： jian huaiyu Chen Donggui Department of Applied Mathematics, Tsinghua University, Beijing 100084, China Yueying Teacher’s College, Hunan 414000, China Department of Applied Mathematics Tsinghua University Beijing 100084 China Yueying Teacher's College Hunan 414000 China

In this paper, we use the abstract theory of semilinear parabolic equations and a priori estimate techniques to prove the global existence and uniqueness of smooth solutions to the Cauchy problem for the following sys... 详细信息

关键词： System of parabolic equations Nonlinear Global existence Sectorial operator A priori estimate Fundamental solution