Diffusion limit of a hyperbolic system with relaxation

DOI10.4310/MAA.1998.v5.n3.a6zbMath0922.35086OpenAlexW305564943MaRDI QIDQ1289313

Hai-liang Liu, Shih Jin

Publication date: 27 May 1999

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1998.v5.n3.a6

zbMATH Keywords

energy estimatesnonlinear convection-diffusion equationdiffusive scaling

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (8)

Diffusive relaxation limit of the multi-dimensional Jin-Xin system ⋮ Uniform Asymptotic and Convergence Estimates for the Jin--Xin Model Under the Diffusion Scaling ⋮ Convergence to traveling waves with decay rates for solutions of the initial boundary problem to a relaxation model ⋮ On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection–diffusion equations ⋮ Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems ⋮ On a relaxation approximation of the incompressible Navier-Stokes equations ⋮ Convergence of singular limits for multi-D semilinear hyperbolic systems to parabolic systems ⋮ A nonlinear relaxation formulation of the \(p\)-curl problem modelling high-temperature superconductors: a modified Yee's scheme

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