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Based on the matrix block technique, the Deift-Zhou nonlinear steepest descent method is developed in order to study the asymptotic analysis of solutions of some nonlinear evolution equations associat...
We use the nonlinear steepest descent for Riemann-Hilbert problems to compute the long-time asymptotics of the solutions to the sine-Gordon equation whose initial condition belongs to some weighted So...
We consider the long time behavior of solutions of the d-dimensional linear Boltzmann equation that arises in the weak coupling limit for the Schrodinger equation with a time-dependent random potentia...
We prove the existence of a compact global attractor for the dynamics of the forced critical surface quasi-geostrophic equation (SQG) and prove that it has finite fractal (box-counting) dimensio...
For 2 + 1 dimensional wave maps with S2 as the target, we show that for all positive numbers T0 > 0 and E0 > 0, there exist Cauchy initial data with energy at least E0, so that the solution's life-spa...
In this paper, we study the long-time behaviour of solutions of Cauchy problem for the parabolic $p$-Laplacian equation with variable coefficients. Under mild conditions on the coefficient of the prin...
Abstract: A model describing the evolution of a liquid crystal substance in the nematic phase is investigated in terms of two basic state variables: the {\it velocity field} $\bu$ and the {\it directo...
Abstract: We study the long-time behaviour of a nonlinear Fokker-Planck equation, which models the evolution of rigid polymers in a given flow, after a closure approximation. The aim of this work is t...
Abstract: Let $(M,\bar{g})$ be a K\"ahler surface with a constant holomorphic sectional curvature $k>0$, and $\Sigma$ an immersed symplectic surface in $M$. Suppose $\Sigma$ evolves along the mean cur...
This paper concerns with two issues. The first issue is the existence and the uniqueness of the ergodic type number d which appears in the oblique boundary condition. The second issue is the applicati...
We obtain a dispersive long-time decay in weighted energy norms for solutions of the Klein-Gordon equation in a moving frame. The decay extends the results of Jensen, Kato and Murata for the equations...
In this paper, we investigate the global existence and long time behavior of smooth solutions to the compressible Euler equations with damping in several space variables. Under suitable assumptions, w...
In this paper we prove the solution of explicit difference scheme for a semilinear parabolic equation converges to the solution of difference scheme for the relevant nonlinear stationary problem as ...
In this paper we prove that the solution of implicit difference scheme for a semilinear parabolic equation converges to the solution of difference scheme for the corresponding nonlinear stationary...
期刊信息 篇名 Long time behavior of the solutions for coupled parabolic systems without monotone nonlinearities 语种 英文 撰写或编译 作者 王元明 第一作者单位 刊物名称 Dynamic Systems and Applications 页面 10, 117—132, 2001,03 出版日期 2...

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