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带阻尼项的Euler方程组初边值问题的整体解

朱旭生

数学杂志2004,Vol.24Issue(4):370-374,5.
数学杂志2004,Vol.24Issue(4):370-374,5.

带阻尼项的Euler方程组初边值问题的整体解

THE GLOBAL SOLUTION OF INITIAL-BOUNDARY VALUE PROBLEM FOR EULER EQUATIONS WITH DAMPING

朱旭生1

作者信息

  • 1. 武汉大学数学与统计学院,湖北,武汉,430072;华东交通大学数学系,江西,南昌,330013
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摘要

Abstract

The initial-boundary value problem on half line for the isentropic Euler equations with damping is investigated in this paper. For homogeneous-Dirichlet boundary condition, the existence and uniqueness of global solution is obtained provided the initial data is a perturbation of the equilibrium solution. Moreover the solution tends to the equilibrium solution when t→∞.

关键词

带阻尼项的等熵Euler方程组/初边值问题/整体解

Key words

damped isentropic Euler equations/initial-boundary value problem/global solution

分类

数理科学

引用本文复制引用

朱旭生..带阻尼项的Euler方程组初边值问题的整体解[J].数学杂志,2004,24(4):370-374,5.

基金项目

Supported by National Natural Science Foundation of China(10131050). (10131050)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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