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Stability and Unstability of the Standing Wave to Euler Equations

  • Xiuli Tang (a1), Xiuqing Wang (a2) and Ganshan Yang (a2)

In this paper, we first discuss the well-posedness of linearizing equations, and then study the stability and unstability of the 3-D compressible Euler Equation, by analysing the existence of saddle point. In addition, we give the existence of local solutions of the compressible Euler equation.

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*Corresponding author. Email: (G. S. Yang)
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Advances in Applied Mathematics and Mechanics
  • ISSN: 2070-0733
  • EISSN: 2075-1354
  • URL: /core/journals/advances-in-applied-mathematics-and-mechanics
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