Stability and Unstability of the Standing Wave to Euler Equations

Stability and Unstability of the Standing Wave to Euler Equations

Year:    2017

Author:    Xiuli Tang, Xiuqing Wang, Ganshan Yang

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 4 : pp. 818–838

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 4 : pp. 818–838

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Euler Equations Lie Group well-posedness saddle point.

Author Details

Xiuli Tang

Xiuqing Wang

Ganshan Yang