Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws

DOI10.1007/BF00251384zbMath0278.35065MaRDI QIDQ1842858

Constantine M. Dafermos

Publication date: 1974

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (20)

Existence of solutions to the Riemann problem for a class of hyperbolic conservation laws exhibiting a parabolic degeneracy ⋮ Classification of the Riemann problem for compressible two-dimensional Euler system in non-ideal gas ⋮ Delta shock wave as limits of vanishing viscosity for zero‐pressure gas dynamics with energy conservation law ⋮ Delta‐shock for a class of systems of conservation laws of the Keyfitz–Kranzer type ⋮ A limiting ``viscosity approach to the Riemann problem for materials exhibiting change of phase ⋮ Admissible wave fans in nonlinear hyperbolic systems ⋮ Resolution of the spherical piston problem for compressible isentropic gas dynamics via a self-similar viscous limit ⋮ A global formalism for nonlinear waves in conservation laws ⋮ On the existence of strong travelling wave profiles to 2×2 systems of viscous conservation laws ⋮ The Riemann problem for certain classes of hyperbolic systems of conservation laws ⋮ The Uniqueness and Stability of the Solution of the Riemann Problem of a System of Conservation Laws of Mixed Type ⋮ The entropy condition and the admissibility of shocks ⋮ Existence and uniqueness of entropy solutions to the Riemann problem for hyperbolic systems of two nonlinear conservation laws ⋮ Viscous limits for a Riemannian problem to a class of systems of conservation laws ⋮ Wave structure induced by fluid-dynamic limits in the Broadwell model ⋮ Codimension-one Riemann solutions: Classical missing rarefaction cases ⋮ Wave interactions and variation estimates for self-similar zero-viscosity limits in systems of conservation laws ⋮ Existence of solutions to the Riemann problem for 2 × 2 conservation laws ⋮ Riemann problem and wave interactions for the one-dimensional relativistic string equation in Minkowski space ⋮ The Riemann problem for \(p\)-systems with continuous flux function

Cites Work

• The Riemann problem for certain classes of hyperbolic systems of conservation laws
• Global solutions for an extended class of hyperbolic systems of conservation laws
• On the solution of the Riemann problem with general step data for an extended class of hyperbolic systems
• Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method
• The Riemann problem for materials with nonconvex equations of state. I: Isentropic flow
• Hyperbolic systems of conservation laws II

This page was built for publication: Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws