Stability and Unstability of the Standing Wave to Euler Equations

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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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Euler Equations Lie Group well-posedness saddle point.
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DOI

10.4208/aamm.2016.m1425

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[1]
2018. Stability and Unstability of the Standing Wave to Euler Equations. Advances in Applied Mathematics and Mechanics. 9, 4 (May 2018), 818–838. DOI:https://doi.org/10.4208/aamm.2016.m1425.