Angular boundary layer in boundary value problems for singularly perturbed parabolic equations with quadratic nonlinearity

DOI10.1134/S0965542517020051zbMath1367.35018OpenAlexW2592736115MaRDI QIDQ2359069

I. V. Denisov

Publication date: 27 June 2017

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

Full work available at URL: https://doi.org/10.1134/s0965542517020051

zbMATH Keywords

asymptotic approximation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (6)

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 monotonic nonlinearity ⋮ Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with nonmonotonic nonlinearities ⋮ Corner boundary layer in boundary value problems with nonlinearities having stationary points ⋮ Corner boundary layer in boundary value problems for singularly perturbed parabolic equations with nonlinearities

Cites Work

• The asymptotic behaviour of the solution of a singularly perturbed two- dimensional problem of the reaction-diffusion-transport type
• Asymptotic approximation of solution of boundary-value problem for a singularly perturbed parabolic equation in the critical case
• One singularly perturbed equation of parabolic type
• A boundary-value problem for a quasilinear singularly perturbed parabolic equation in a rectangle
• An estimate of the residual term in the asymptotic form of the solution of a boundary-value problem
• Asymptotic behavior of the solution of the heat equation with a nonlinear heat source in a thin rod.
• Asymptotics of the solution of an initial-boundary value problem for a singularly perturbed parabolic equation in the case of double root of the degenerate equation
• On a singularly perturbed quasilinear parabolic problem with unsmooth corner boundary functions
• Asymptotic properties of the solution of a finite-difference equation with small steps in a rectangular region
• УГЛОВОЙ ПОГРАНИЧНЫЙ СЛОЙ В КРАЕВЫХ ЗАДАЧАХ ДЛЯ СИНГУЛЯРНО ВОЗМУЩЕННЫХ ПАРАБОЛИЧЕСКИХ УРАВНЕНИЙ С КВАДРАТИЧНОЙ НЕЛИНЕЙНОСТЬЮ, "Журнал вычислительной математики и математической физики"
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