Boundary layers for parabolic perturbations of quasi‐linear hyperbolic problems

DOI10.1002/mma.1144zbMath1180.35057OpenAlexW2007728891MaRDI QIDQ3651424

Jing Wang

Publication date: 10 December 2009

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1144

zbMATH Keywords

energy estimateone space dimensionviscous conservation lawsnoncharacteristic boundary layerslinearly well-posedLopatinski's conditionnonlinear well posedness

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Initial-boundary value problems for first-order hyperbolic systems (35L50) Quasilinear parabolic equations (35K59)

Related Items (2)

Vanishing viscosity limit of 1D quasilinear parabolic equation with multiple boundary layers ⋮ Stability of multiple boundary layers for 2D quasilinear parabolic equations

Cites Work

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• Study of limit conditions for a strictly hyperbolic system via parabolic approximation
• First order quasilinear equations with boundary conditions
• Maximal Positive Boundary Value Problems as Limits of Singular Perturbation Problems
• Initial boundary value problems for hyperbolic systems
• The Existence and Limit Behavior of the One-Dimensional Shock Layer
• Boundary layer stability in real vanishing viscosity limit

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