Stability and Unstability of the Standing Wave to Euler Equations
Adv. Appl. Math. Mech., 9 (2017), pp. 818-838.
Published online: 2018-05
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@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} }
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 -
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.
Tang , XiuliWang , Xiuqing and Yang , Ganshan. (2018). Stability and Unstability of the Standing Wave to Euler Equations.
Advances in Applied Mathematics and Mechanics. 9 (4).
818-838.
doi:10.4208/aamm.2016.m1425
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