| 三维可压等熵Euler方程光滑解的整体存在性 |
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| 引用本文： | 赵娟,王银霞.三维可压等熵Euler方程光滑解的整体存在性[J].数学的实践与认识,2012,42(23). |
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| 作者姓名： | 赵娟 王银霞 |
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| 作者单位： | 华北水利水电学院,河南郑州,450011 |
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| 基金项目： | 华北水利水电学院高层次人才资助项目 |
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| 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.
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| 关 键 词： | 可压Euler方程 Cauchy问题 零条件 整体光滑解 |
Remark on Global Existence of Smooth Solutions to Three-Dimensional Compressible Isentropic Euler Equations for Chaplygin Gases |
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| ZHAO Juan
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WANG Yin-xia.Remark on Global Existence of Smooth Solutions to Three-Dimensional Compressible Isentropic Euler Equations for Chaplygin Gases[J].Mathematics in Practice and Theory,2012,42(23). |
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| Authors: | ZHAO Juan WANG Yin-xia |
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| Abstract: | 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. |
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| Keywords: | compressible Euler equations Cauchy problem null condition global existence |
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