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

Xiuli Tang, Xiuqing Wang & Ganshan Yang

DOI: 10.4208/aamm.2016.m1425

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

  • Email address

ganshanyang@yahoo.com.cn (Ganshan Yang)

  • BibTex
  • RIS
  • TXT
@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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