Exact solutions of equations of a nonstationary front with equilibrium points of a fractional order

DOI10.1134/S0965542518120084zbMath1418.35019OpenAlexW2911777302MaRDI QIDQ2420925

K. E. Ermakova, A. A. Bykov

Publication date: 7 June 2019

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

Full work available at URL: https://doi.org/10.1134/s0965542518120084

zbMATH Keywords

asymptotic methodsdifferential inequalitiescontrast structurepower-law temperature dependence

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Combustion (80A25)

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Cites Work

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• On the stability and the attraction domain of the stationary solution of a singularly perturbed parabolic equation with a multiple root of the degenerate equation
• On the dependence of the structure of boundary layers on the boundary conditions in a singularly perturbed boundary-value problem with multiple root of the related degenerate equation
• Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation
• Front motion in the parabolic reaction-diffusion problem
• On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation
• Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion
• УГЛОВОЙ ПОГРАНИЧНЫЙ СЛОЙ В КРАЕВЫХ ЗАДАЧАХ ДЛЯ СИНГУЛЯРНО ВОЗМУЩЕННЫХ ПАРАБОЛИЧЕСКИХ УРАВНЕНИЙ С КВАДРАТИЧНОЙ НЕЛИНЕЙНОСТЬЮ, "Журнал вычислительной математики и математической физики"