Stability and Unstability of the Standing Wave to Euler Equations

Authors

  • Xiuli Tang
  • Xiuqing Wang
  • Ganshan Yang Institute of Mathematics, Yunnan Normal University, Kunming 650091; Department of Mathematics, Yunnan Nationalities University, Kunming 650031, China

DOI:

https://doi.org/10.4208/aamm.2016.m1425

Keywords:

Euler Equations, Lie Group, well-posedness, saddle point.

Abstract

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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Published

2018-05-05

Issue

Vol. 9 No. 4 (2017)

Section

Articles