On one model problem for the reaction-diffusion-advection equation

DOI10.1134/S0965542517090056zbMath1378.35166OpenAlexW2760377734MaRDI QIDQ1687812

N. T. Levashova, S. A. Zakharova, M. A. Davydova

Publication date: 4 January 2018

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

Full work available at URL: https://doi.org/10.1134/s0965542517090056

zbMATH Keywords

asymptotic methodssingularly perturbed problemsreaction-diffusion-advection equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57)

Related Items (4)

Solution of contrast structure type for a parabolic reaction-diffusion problem in a medium with discontinuous characteristics ⋮ Diffusion chaos and its invariant numerical characteristics ⋮ Existence of a solution in the form of a moving front of a reaction-diffusion-advection problem in the case of balanced advection ⋮ Existence and stability of the solution to a system of two nonlinear diffusion equations in a medium with discontinuous characteristics

Cites Work

• Existence and stability of solutions with boundary layers in multidimensional singularly perturbed reaction-diffusion-advection problems
• Contrast structures in singularly perturbed quasilinear reaction-diffusion-advection equations
• Singularly perturbed problems with boundary and internal layers
• Contrast structures in multidimensional singularly perturbed reaction-diffusion-advection problems
• Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection
• Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models
• Front motion in the parabolic reaction-diffusion problem
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