Nonlinear stability of overcompresive shock waves in a rotationally invariant system of viscous conservation laws

1993 ◽  
Vol 153 (1) ◽  
pp. 147-158 ◽  
Author(s):  
Heinrich Freistühler ◽  
Tai-Ping Liu
Keyword(s):  
Shock Waves ◽  
Conservation Laws ◽  
Nonlinear Stability ◽  
Invariant System ◽  
Viscous Conservation Laws ◽  
Rotationally Invariant

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.

Some $$L^p$$ L p estimates for rotationally invariant systems of viscous conservation laws

2014 ◽  
Vol 34 (2) ◽  
pp. 793-806
Author(s):  
Pablo Braz e Silva ◽  
Wilberclay G. Melo ◽  
Paulo R. Zingano
Keyword(s):  
Conservation Laws ◽  
Viscous Conservation Laws ◽  
Rotationally Invariant
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