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math.AP2001
Stability of viscous shock profiles for dissipative symmetric hyperbolic-parabolic systems
Corrado Mascia, Kevin Zumbrun
Combining pointwise Green's function bounds obtained in a companion paper [MZ.2] with earlier, spectral stability results obtained in [HuZ], we establish nonlinear orbital stabilit…
math.AP2001
Pointwise Green's function bounds and stability of relaxation shocks
Corrado Mascia, Kevin Zumbrun
We establish sharp pointwise Green's function bounds and consequent linearized and nonlinear stability for smooth traveling front solutions, or relaxation shocks, of general hyperb…