Shock waves for the hyperbolic balance laws with discontinuous sources

DOI10.1002/mma.2952zbMath1308.35139OpenAlexW1999827002MaRDI QIDQ2922238

Pingfan Tang, Ya-Guang Wang

Publication date: 9 October 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2952

zbMATH Keywords

local existenceweak discontinuities

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

• Unnamed Item
• Unnamed Item
• The Riemann problem of the Burgers equation with a discontinuous source term
• Hyperbolic conservation laws with relaxation
• Nonlinear geometric optics for shock waves. II: System case
• The generic solution of the Riemann problem in a neighborhood of a point of resonance for systems of nonlinear balance laws
• Resonant one dimensional nonlinear geometric optics
• The Riemann Problem for an Inhomogeneous Conservation Law Without Convexity
• Non local balance laws in traffic models and crystal growth
• The existence of multidimensional shock fronts
• Nonlinear resonance for quasilinear hyperbolic equation
• A Bound on the Total Variation of the Conserved Quantities for Solutions of a General Resonant Nonlinear Balance Law
• Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law
• Hyperbolic Balance Laws with a Non Local Source
• ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO CONSERVATION LAWS WITH PERIODIC FORCING
• HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION

This page was built for publication: Shock waves for the hyperbolic balance laws with discontinuous sources