Volume 9, Issue 4
Stability and Unstability of the Standing Wave to Euler Equations

Xiuli Tang, Xiuqing Wang & Ganshan Yang

Adv. Appl. Math. Mech., 9 (2017), pp. 818-838.

Published online: 2018-05

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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.

  • Keywords

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

  • AMS Subject Headings

35Q31, 35L04, 35C07, 35B35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-818, author = {}, title = {Stability and Unstability of the Standing Wave to Euler Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {4}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2016.m1425}, url = {http://global-sci.org/intro/article_detail/aamm/12177.html} }
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