Numerical computation of viscous profiles for hyperbolic conservation laws

DOI10.1090/S0025-5718-01-01340-0zbMath1008.65094MaRDI QIDQ4529706

Heinrich Freistühler, Christian Rohde

Publication date: 6 May 2002

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

stabilityboundary value problemshyperbolic conservation lawsshock wavesheteroclinic orbitsmagnetohydrodynamicsviscous profilesconnecting heteroclinic manifolds

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas

Uses Software

• COLNEW

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An approximation theory for boundary value problems on infinite intervals
• Nonlinear stability of viscous shock waves
• Nonlinear asymptotic stability of general small-amplitude viscous Laxian shock waves
• Nonlinear stability of overcompressive shock waves in a rotationally invariant system of viscous conservation laws
• Exponential dichotomies and transversal homoclinic points
• The Numerical Computation of Heteroclinic Connections in Systems of Gradient Partial Differential Equations
• The Numerical Computation of Connecting Orbits in Dynamical Systems
• A New Basis Implementation for a Mixed Order Boundary Value ODE Solver
• Boundary Value Problems on Semi-Infinite Intervals and Their Numerical Solution
• A Theory for the Approximation of Solutions of Boundary Value Problems on Infinite Intervals
• Numerical Computation and Continuation of Invariant Manifolds Connecting Fixed Points
• Existence and Bifurcation of Viscous Profiles for All Intermediate Magnetohydrodynamic Shock Waves
• Nonlinear stability of shock waves for viscous conservation laws
• Computation and parametrization of periodic and connecting orbits
• On the structure of an inclined magnetohydrodynamic shock wave
• The Existence and Limit Behavior of the One-Dimensional Shock Layer

This page was built for publication: Numerical computation of viscous profiles for hyperbolic conservation laws