@Article{AAMM-9-818, author = {Tang , XiuliWang , Xiuqing and Yang , Ganshan}, 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} }