scholarly journals On the isentropic compressible Euler equation with adiabatic indexγ= 1

2013 ◽  
Vol 262 (1) ◽  
pp. 109-128 ◽  
Author(s):  
Dong Li ◽  
Changxing Miao ◽  
Xiaoyi Zhang
Keyword(s):  
Euler Equation ◽  
Compressible Euler Equation ◽  
Compressible Euler

Stability and Unstability of the Standing Wave to Euler Equations

2017 ◽  
Vol 9 (4) ◽  
pp. 818-838
Author(s):  
Xiuli Tang ◽  
Xiuqing Wang ◽  
Ganshan Yang
Keyword(s):  
Saddle Point ◽  
Euler Equation ◽  
Euler Equations ◽  
Standing Wave ◽  
Well Posedness ◽  
Compressible Euler Equation ◽  
Compressible Euler ◽  
Local Solutions ◽  
The Stability

AbstractIn 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.

Sign in / Sign up

Export Citation Format

Share Document