Asymptotic expansion for the solution to a boundary-value problem in a thin cascade domain with a local joint

DOI10.3233/ASY-151352zbMath1348.35019arXiv1503.09117MaRDI QIDQ2814644

Arsen V. Klevtsovskiy, Taras A. Mel'nyk

Publication date: 22 June 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.09117

zbMATH Keywords

asymptotic estimatePoisson equationenergetic estimatesthin domain with a local geometrical irregularity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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