Asymptotic analysis of an advection‐diffusion equation involving interacting boundary and internal layers

DOI10.1002/mma.6425zbMath1452.35013arXiv1904.12669OpenAlexW3098670919MaRDI QIDQ5131627

Arnaud Münch, Youcef Amirat

Publication date: 9 November 2020

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

Full work available at URL: https://arxiv.org/abs/1904.12669

zbMATH Keywords

matched asymptotic expansionsSobolev estimatesinteraction of internal and boundary layers

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) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (3)

Internal layer intersecting the boundary of a domain in a singular advection–diffusion equation ⋮ On the controllability of entropy solutions of scalar conservation laws at a junction via Lyapunov methods ⋮ A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data

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