Stable Viscosities and Shock Profiles for Systems of Conservation Laws

DOI10.2307/1999263zbMath0512.76068OpenAlexW3157318041MaRDI QIDQ3657642

Robert L. Pego

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999263

zbMATH Keywords

heat conductionsingular matricescenter manifolddissipative systemshock profilesadmissibility criteriahigh order viscosity termslinearized stability conditionsmall amplitude shock wave as limits of traveling waves

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Incompressible viscous fluids (76D99) Hyperbolic conservation laws (35L65) Hydrodynamic stability (76E99) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Traveling wave solutions (35C07)

Related Items

Entropy production and admissibility of shocks, Existence of semilinear relaxation shocks, Nonexistence of a shock layer in gas dynamics with a nonconvex equation of state, Strong viscous shocks for systems of conservation laws with a high order of dissipation, Existence of quasilinear relaxation shock profiles in systems with characteristic velocities, One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics, Existence of traveling-wave solutions for hyperbolic systems of balance laws, Nonlinear stability of viscous shock profiles for compressible Navier-Stokes equations with temperature-dependent transport coefficients and large initial perturbation, On the shock wave spectrum for isentropic gas dynamics with capillarity, Navier–Stokes regularization of multidimensional Euler shocks, Spectral stability of ideal-gas shock layers, Long-time stability of large-amplitude noncharacteristic boundary layers for hyperbolic-parabolic systems, Stable viscosity matrices for systems of conservation laws

Cites Work

• Stable viscosity matrices for systems of conservation laws
• Nonexistence of a shock layer in gas dynamics with a nonconvex equation of state
• A theorem in ordinary differential equations with an application to hyperbolic conservation laws
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• Dispersion and shock-wave structure
• The entropy condition and the admissibility of shocks
• A systematic approach for correcting nonlinear instabilities: The Lax- Wendroff scheme for scalar conservation laws
• The Existence and Limit Behavior of the One-Dimensional Shock Layer