compressible euler equation
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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.

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
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