scholarly journals Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system

2018 ◽  
Vol 38 (6) ◽  
pp. 2911-2943
Author(s):  
Min Ding ◽  
◽  
Hairong Yuan ◽  
Keyword(s):  
Euler System ◽  
Two Dimensional ◽  
Rarefaction Waves ◽  
Compressible Euler

scholarly journals Uniqueness of rarefaction waves in multidimensional compressible Euler system

2015 ◽  
Vol 12 (03) ◽  
pp. 489-499 ◽  
Author(s):  
Eduard Feireisl ◽  
Ondřej Kreml
Keyword(s):  
Shock Wave ◽  
Rarefaction Wave ◽  
Riemann Problem ◽  
Euler System ◽  
Entropy Solutions ◽  
Infinitely Many Solutions ◽  
Rarefaction Waves ◽  
Convex Integration ◽  
Wave Solutions ◽  
Compressible Euler

We show that 1D rarefaction wave solutions are unique in the class of bounded entropy solutions to the multidimensional compressible Euler system. Such a result may be viewed as a counterpart of the recent examples of non-uniqueness of the shock wave solutions to the Riemann problem, where infinitely many solutions are constructed by the method of convex integration.

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