Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws

DOI10.1016/j.na.2010.07.008zbMath1207.35057OpenAlexW2015921294MaRDI QIDQ708663

Chun Shen, Mei-na Sun

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.07.008

zbMATH Keywords

wave interactiondelta contact discontinuitydelta shock wavenonstrict hyperbolicitysplit delta function

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (25)

Measure-valued solutions to a non-strictly hyperbolic system with delta-type Riemann initial data ⋮ The stability of the Riemann solutions for the non-symmetry Keyfitz-Kranzer system with Chaplygin pressure ⋮ Interactions of delta shock waves and stability of Riemann solutions for nonlinear chromatography equations ⋮ The perturbed Riemann problem with delta shock for a hyperbolic system ⋮ The initial-boundary value problem for a strictly hyperbolic equations ⋮ Stability of Riemann solutions to a class of non-strictly hyperbolic systems of conservation laws ⋮ The perturbed Riemann problem for a geometrical optics system ⋮ Wave interactions in pressureless Cargo–LeRoux model with flux perturbation ⋮ Self‐similar viscosity approach to the Riemann problem for a strictly hyperbolic system of conservation laws ⋮ The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term ⋮ Non-selfsimilar solutions for a hyperbolic system of conservation laws in two space dimensions ⋮ Wave interactions and stability of the Riemann solution for a strictly hyperbolic system of conservation laws ⋮ The perturbed Riemann problem and delta contact discontinuity in chromatography equations ⋮ INTERACTIONS OF DELTA SHOCK WAVES FOR A CLASS OF NONSTRICTLY HYPERBOLIC SYSTEM OF CONSERVATION LAWS ⋮ Stability of the Riemann solutions for a Chaplygin gas ⋮ Interactions of delta shock waves for the Chaplygin gas equations with split delta functions ⋮ Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws ⋮ The Riemann problem with delta initial data for the one-dimensional transport equations ⋮ The Riemann problem with delta initial data for the two-dimensional steady zero-pressure adiabatic flow ⋮ Generalized plane delta shock waves for the \(n\)-dimensional zero-pressure gas dynamics with energy conservation law ⋮ Formation of Delta Standing Wave for a Scalar Conservation Law with a Linear Flux Function Involving Discontinuous Coefficients ⋮ The Asymptotic Behaviors of Solutions to the Perturbed Riemann Problem near the Singular Curve for the Chromatography System* ⋮ Structural stability of solutions to the Riemann problem for a scalar conservation law ⋮ Riemann problem for the isentropic Chaplygin gas Cargo-LeRoux model ⋮ Interactions of delta shock waves for the relativistic Chaplygin Euler equations with split delta functions

Cites Work

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