Boundary conditions and boundary layers for a multi-dimensional relaxation model.

DOI10.1016/j.jde.2003.08.007zbMath1043.35100OpenAlexW2002559883WikidataQ58047217 ScholiaQ58047217MaRDI QIDQ1424491

Wen-Qing Xu

Publication date: 14 March 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.08.007

zbMATH Keywords

Fourier-Laplace transformasymptotic equivalenceBoundary layer behaviorStiff Kreiss conditionStiff well-posedness

Mathematics Subject Classification ID

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

Related Items (5)

Kinetic layers and coupling conditions for nonlinear scalar equations on networks ⋮ Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I ⋮ Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model ⋮ Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type II ⋮ Invariant tori for a nonlinearly modified Kawahara equation with periodic boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Hyperbolic conservation laws with relaxation
• The Boltzmann equation and its applications
• Stiff well-posedness for hyperbolic systems with large relaxation terms (linear constant-coefficient problems)
• Stiff well-posedness and asymptotic convergence for a class of linear relaxation systems in a quarter plane
• Boundary-layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation
• Initial-boundary value problem for a class of linear relaxation systems in arbitrary space dimensions
• Local boundary conditions for dissipative symmetric linear differential operators
• Initial-Boundary Value Problems for Linear Hyperbolic System
• The fluid-dynamical limit of a nonlinear model boltzmann equation
• Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
• Asymptotic limit of initial boundary value problems for conservation laws with relaxational extensions
• Boundary conditions for hyperbolic systems with stiff source terms
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Contractive relaxation systems and the scalar multidimensional conservation law
• Initial-boundary value problem to systems of conservation laws with relaxation
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• Initial boundary value problems for hyperbolic systems
• L₂ is a continuable initial condition for kreiss' mixed problems

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