TY - JOUR
T1 - Stability and Unstability of the Standing Wave to Euler Equations
AU - Tang , Xiuli
AU - Wang , Xiuqing
AU - Yang , Ganshan
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 818
EP - 838
PY - 2018
DA - 2018/05
SN - 9
DO - http://doi.org/10.4208/aamm.2016.m1425
UR - https://global-sci.org/intro/article_detail/aamm/12177.html
KW - Euler Equations, Lie Group, well-posedness, saddle point.
AB - <p style="text-align: justify;">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.</p>