Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with monotonic nonlinearity

DOI10.1134/S0965542518040097zbMath1397.35012OpenAlexW2803435004WikidataQ129783176 ScholiaQ129783176MaRDI QIDQ722419

I. V. Denisov

Publication date: 23 July 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518040097

zbMATH Keywords

asymptotic expansion of solution

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Related Items (4)

Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with cubic nonlinearities ⋮ Nonlinear method of angular boundary functions in problems with cubic nonlinearities ⋮ Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with nonmonotonic nonlinearities ⋮ Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with nonlinearities

Cites Work

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• A boundary-value problem for a quasilinear singularly perturbed parabolic equation in a rectangle
• Angular boundary layer in boundary value problems for singularly perturbed parabolic equations with quadratic nonlinearity
• Asymptotic properties of the solution of a finite-difference equation with small steps in a rectangular region

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