井冈山大学学报(自然科学版)Issue(6):1-7,7.DOI:10.3969/j.issn.1674-8085.2015.06.001
一维带阻尼项欧拉方程组的初边值问题
THE INITIAL-BOUNDARY VALUE PROBLEM OF EULER EQUATIONS WITH DAMPING
摘要
Abstract
We study the initial-boundary value problem for the isentropic Euler equations with damping in a bounded interval. If the initial data is a small perturbation around a constant equilibrium solution and satisfies the compatible condition, we prove that the classical solution of this problem exists uniquely and globally by the method of energy estimation.关键词
欧拉方程组/有界区间/初边值问题/整体解Key words
Euler equations/bounded interval/initial-boundary value problem/global solution分类
数理科学引用本文复制引用
汤传扬,朱旭生,艾利娜..一维带阻尼项欧拉方程组的初边值问题[J].井冈山大学学报(自然科学版),2015,(6):1-7,7.基金项目
国家自然科学基金项目(11161021,61262031,11326139) (11161021,61262031,11326139)