Stability of Riemann solutions to pressureless Euler equations with Coulomb-like friction by flux approximation

zbMath1418.35268arXiv1706.08882MaRDI QIDQ5376889

Qingling Zhang

Publication date: 21 May 2019

Full work available at URL: https://arxiv.org/abs/1706.08882

zbMATH Keywords

pressureless Euler equationsAw-Rascle modeldelta shock waveChaplygin approximationnonsymmetric system of Keyfitz-Kranzer-type

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Euler equations (35Q31)

Related Items (4)

Riemann problems and wave interactions for a non-symmetric Keyfitz–Kranzer system with a source term ⋮ Wave interactions and stability of Riemann solutions to the Aw-Rascle model with friction for modified Chaplygin gas ⋮ Singular solutions to the Riemann problem for the pressureless Euler equations with discontinuous source term ⋮ Limits of solutions to the Aw-Rascle traffic flow model with generalized Chaplygin gas by flux approximation

Cites Work

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• Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
• The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system
• Spaces of weighted measures for conservation laws with singular shock solutions
• The Aw-Rascle traffic model with Chaplygin pressure
• Singular solutions for the shallow-water equations
• Singular solutions of a fully nonlinear 2 × 2 system of conservation laws
• Non-classical shallow water flows
• Pressureless Euler/Euler–Poisson Systems via Adhesion Dynamics and Scalar Conservation Laws
• Well posedness for pressureless flow

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