Symmetric hyperbolic systems with a large parameter

DOI10.1080/03605308608820478zbMath0651.35047OpenAlexW2075750897MaRDI QIDQ3796079

Steven Schochet

Publication date: 1986

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308608820478

zbMATH Keywords

quasilinearclassical solutionssymmetric hyperbolic system

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Asymptotic expansions of solutions to PDEs (35C20) Perturbations in context of PDEs (35B20) Initial value problems for first-order hyperbolic systems (35L45)

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Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit
• Singular limits in bounded domains for quasilinear symmetric hyperbolic systems having a vorticity equation
• The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence
• The incompressible limit in nonlinear elasticity
• The motion of slightly compressible fluids viewed as a motion with strong constraining force
• Interactions of Fast and Slow Waves in Problems with Two Time Scales
• Problems with different time scales for partial differential equations
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Motion of slightly compressible fluids in a bounded domain. I
• Problems with Different Time Scales for Nonlinear Partial Differential Equations