scholarly journals Stability of a superposition of shock waves with contact discontinuities for systems of viscous conservation laws

2009 ◽  
Vol 246 (5) ◽  
pp. 2081-2102 ◽  
Author(s):  
Huihui Zeng
Keyword(s):  
Shock Waves ◽  
Conservation Laws ◽  
Viscous Conservation Laws ◽  
Contact Discontinuities

INSTABILITY OF OVERCOMPRESSIVE SHOCK WAVES FOR ROTATIONALLY INVARIANT SYSTEMS OF VISCOUS CONSERVATION LAWS

1998 ◽  
Vol 08 (06) ◽  
pp. 1039-1054
Author(s):  
KA-LAM KUEH
Keyword(s):  
Shock Waves ◽  
Conservation Laws ◽  
Travelling Waves ◽  
Invariant System ◽  
Viscous Conservation Laws ◽  
Rotationally Invariant

Motivated by the study of M.H.D., we consider rotationally invariant system of viscous conservtion laws. We prove that overcompressive travelling waves solutions to the system are unstable by fixing a perturbation to the travelling waves and making the viscosity small.

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