Explicit solution for a class of coupled hyperbolic systems of conservation laws

DOI10.1080/00036811.2019.1612883zbMath1458.35265OpenAlexW2944634944MaRDI QIDQ5148334

Yu-jin Liu, Wen-Hua Sun

Publication date: 3 February 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1612883

zbMATH Keywords

Riemann problemconvex hullgeneralized Rankine-Hugoniot relationdelta shock waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) 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

• Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
• On the vacuum state for the isentropic gas dynamics equations
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Interaction of a centered simple wave and a planar rarefaction wave of the two-dimensional Euler equations for pseudo-steady compressible flow
• Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Riemann problems for a class of coupled hyperbolic systems of conservation laws
• The Riemann problem with delta initial data for a class of coupled hyperbolic systems of conservation laws
• \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws
• Interactions of delta shock waves for the transport equations with split delta functions
• The Riemann problem for the transportation equations in gas dynamics
• Weak Solution to Pressureless Type System
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