Linearized Stability of Extreme Shock Profiles in Systems of Conservation Laws with Viscosity

DOI10.2307/1999627zbMath0544.35057OpenAlexW4299661628MaRDI QIDQ3333443

Robert L. Pego

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999627

zbMATH Keywords

conservation lawsartificial viscositytraveling wave solutionslinearized stabilityviscous shock profilesperturbations in initial data

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65)

Related Items

Stability of travelling waves with interface conditions, Invariant manifolds and the stability of traveling waves in scalar viscous conservation laws, Stability of semi-trivial wavefronts in reaction-diffusion systems, Nonlinear stability of viscous shock waves, Traveling wavefronts for a Lotka-Volterra competition model with partially nonlocal interactions, Pointwise Green's function bounds for multidimensional scalar viscous shock fronts

Cites Work

• Unnamed Item
• Unnamed Item
• Optimal Landau-Kolmogorov inequalities for dissipative operators in Hilbert and Banach spaces
• A theorem in ordinary differential equations with an application to hyperbolic conservation laws
• Geometric theory of semilinear parabolic equations
• On the stability of waves of nonlinear parabolic systems
• Hyperbolic systems of conservation laws II
• Steady state solutions of hyperbolic systems of conservation laws with viscosity terms