Existence of a solution in the form of a moving front of a reaction-diffusion-advection problem in the case of balanced advection

DOI10.1070/IM8669zbMath1404.35223OpenAlexW2769746022MaRDI QIDQ4645139

N. T. Levashova, A. V. Yagremtsev, Nikolai N. Nefedov

Publication date: 10 January 2019

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

Full work available at URL: https://doi.org/10.1070/im8669

zbMATH Keywords

small parameterasymptotic methodsdifferential inequalitiesinternal transition layerequation of reaction-diffusion-advection typemotion of a front

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) Theoretical approximation in context of PDEs (35A35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (3)

Existence and asymptotic stability of a stationary boundary-layer solution of the two-dimensional reaction-diffusion-advection problem ⋮ Diffusion chaos and its invariant numerical characteristics ⋮ Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications

Cites Work

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• Lecture notes on mean curvature flow
• Singularly perturbed problems with boundary and internal layers
• Asymptotics of the front motion in the reaction-diffusion-advection problem
• Generation and propagation of interfaces for reaction-diffusion equations
• On one model problem for the reaction-diffusion-advection equation
• Multi-dimensional stationary internal layers for spatially inhomogeneous reaction-diffusion equations with balanced nonlinearity
• Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
• Existence and stability of periodic contrast structures in the reaction-advection-diffusion problem in the case of a balanced nonlinearity
• Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection
• Comparison Principle for Reaction-Diffusion-Advection Problems with Boundary and Internal Layers
• Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models
• Front motion in the parabolic reaction-diffusion problem
• An asymptotic method of differential inequalities for the investigation of periodic contrast structures: Existence, asymptotics, and stability

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