On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity

DOI10.1134/S1064562420040146zbMath1477.35017MaRDI QIDQ2243767

O. V. Rudenko, Nikolai N. Nefedov

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic methodsfrontsinternal layersreaction-diffusion-advection equationsnonlinear amplification

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Asymptotic expansions of solutions to PDEs (35C20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (4)

Solution with an inner transition layer of a two-dimensional boundary value reaction-diffusion-advection problem with discontinuous reaction and advection terms ⋮ Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications ⋮ Periodic contrast structures in the reaction-diffusion problem with fast response and weak diffusion ⋮ Asymptotic solution of the boundary control problem for a Burgers-type equation with modular advection and linear gain

Cites Work

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• Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
• Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
• Comparison Principle for Reaction-Diffusion-Advection Problems with Boundary and Internal Layers
• On the exact and numerical solution of the time-delayed Burgers equation
• On the periodic solution of the Burgers equation: a unified approach
• On a quasi-linear parabolic equation occurring in aerodynamics

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