Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities

DOI10.1016/S0022-0396(02)00068-2zbMath1015.35069MaRDI QIDQ1867253

De-Xing Kong

Publication date: 2 April 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

shock wavecontact discontinuityglobal existence and uniqueness

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (23)

Approximate solutions of generalized Riemann problems for nonlinear systems of hyperbolic conservation laws ⋮ Global solutions with shock waves to the generalized Riemann problem for a system of hyperbolic conservation laws with linear damping ⋮ Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system ⋮ Global solution to the generalized Riemann problem in the presence of a boundary and contact discontinuities ⋮ Shock reflection for general quasilinear hyperbolic systems of conservation laws ⋮ Stability of E-H type regular shock refraction ⋮ Global structure instability of Riemann solutions for general quasilinear hyperbolic systems of conservation laws in the presence of a boundary ⋮ Global structure stability of impact-induced tensile waves in phase-transforming materials ⋮ High-order accurate solutions of generalized Riemann problems of nonlinear hyperbolic balance laws ⋮ Shock reflection for a system of hyperbolic balance laws ⋮ Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: shocks and contact discontinuities ⋮ Global weakly discontinuous solutions for hyperbolic conservation laws in the presence of a boundary ⋮ Global structure stability of Riemann solutions for general hyperbolic systems of conservation laws in the presence of a boundary ⋮ Blow-up of solutions to the initial-boundary value problem for quasilinear hyperbolic systems of conservation laws ⋮ Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation laws with small BV data: rarefaction waves ⋮ The generalized nonlinear initial-boundary Riemann problem for linearly degenerate quasilinear hyperbolic systems of conservation laws ⋮ Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: rarefaction waves ⋮ Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance laws ⋮ Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data ⋮ Asymptotic Behavior of Global Classical Solutions of Quasilinear Hyperbolic Systems ⋮ Global Structure Stability for the Wave Catching-Up Phenomenon in a Prestressed Two-Material Bar ⋮ Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation laws with small BV data: shocks and contact discontinuities ⋮ Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: rarefaction waves

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