Vanishing viscosity limit of 1D quasilinear parabolic equation with multiple boundary layers

DOI10.3934/cpaa.2019043zbMath1404.35018OpenAlexW2897293063WikidataQ129035988 ScholiaQ129035988MaRDI QIDQ1633419

Lining Tong, Jing Wang

Publication date: 20 December 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019043

zbMATH Keywords

stability analysismatched asymptotic expansionstwo-point boundary value problemmultiple boundary layersstrong boundary layerweak boundary layer

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Stability of multiple boundary layers for 2D quasilinear parabolic equations
• Viscous limits for piecewise smooth solutions to systems of conservation laws
• Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems
• Linear instability implies nonlinear instability for various types of viscous boundary layers.
• Small viscosity and boundary layer methods. Theory, stability analysis, and applications
• Boundary layers for parabolic perturbations of quasi‐linear hyperbolic problems
• Long-time stability of multi-dimensional noncharacteristic viscous boundary layers

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