POINTWISE ESTIMATES OF SOLUTIONS FOR THE EULER-POISSON EQUATIONS WITH DAMPING IN MULTI-DIMENSIONS

被引：6

作者：

Wu, Zhigang ^{[1
]}

Wang, Weike ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 26卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Euler-Poisson equations; multi-dimensions; Green function; pointwise estimates; DIMENSIONAL HYDRODYNAMIC MODEL; NONLINEAR DIFFUSION WAVES; NAVIER-STOKES EQUATIONS; SMOOTH SOLUTIONS; ASYMPTOTIC-BEHAVIOR; SPHERICAL-SYMMETRY; CONSERVATION-LAWS; SEMICONDUCTORS; SYSTEM; CONVERGENCE;

D O I：

10.3934/dcds.2010.26.1101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global existence and pointwise estimates of the Cauchy problem for the Euler-Poisson equation with damping in multi-dimensions are considered. Based on the analysis of Green function, and using the special structure of the system together with weighted energy method, we obtain the global existence of the classical solution. What's more important,is that we derive a detailed, pointwise description of asymptotic behavior of the solutions of the Cauchy problem. Then we obtain the optimal L(p)(R(n)) (p>n/n-1) convergence rate of the solutions.

引用

页码：1101 / 1117

页数：17

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