Parabolic limit with differential constraints of first-order quasilinear hyperbolic systems

DOI10.1016/j.anihpc.2015.03.006zbMath1347.35023OpenAlexW2022785684MaRDI QIDQ305119

Yue-Jun Peng, Victor Wasiolek

Publication date: 26 August 2016

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2015.03.006

zbMATH Keywords

singular limitstiff source termsparabolic limit equationsEuler equations with dampingEuler-Maxwell system with relaxationstructural stability condition

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) First-order nonlinear hyperbolic equations (35L60) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (8)

Asymptotic stability and relaxation for fast chemistry fluids ⋮ Volume viscosity and internal energy relaxation: error estimates ⋮ Global existence for partially dissipative hyperbolic systems in the \(L^p\) framework, and relaxation limit ⋮ Nonrelativistic limit of the Euler‐HMP_N approximation models arising in radiation hydrodynamics ⋮ Relaxed Euler systems and convergence to Navier-Stokes equations ⋮ Convergence rate from hyperbolic systems of balance laws to parabolic systems ⋮ Convergence rate from systems of balance laws to isotropic parabolic systems, a periodic case ⋮ Global convergence to compressible full Navier-Stokes equations by approximation with Oldroyd-type constitutive laws

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