摘要
研究了三维可压等熵Euler方程Cauchy问题光滑解的整体存在性.如果初值是一个常状态的小扰动并且初速度的旋度等于零,证明了三维可压等熵Euler方程Cauchy问题光滑解的整体存在性.
In this paper we prove that global existence of smooth solutions to Cauchy problem for compressible isentropic Euler equations for Chaplygin gases or Karman-Tsien gases in three space dimensions , provided that the initial data are obtained by adding a small smooth perturbation with compact support to a constant state and the vorticity of the initial velocity vanishes.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第23期217-222,共6页
Mathematics in Practice and Theory
基金
华北水利水电学院高层次人才资助项目(201031)
