Existence and asymptotic representation of the autowave solution of a system of equations

DOI10.1134/S0965542518050147zbMath1458.35426OpenAlexW2807714034MaRDI QIDQ1662565

Y. Aharonov

Publication date: 20 August 2018

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

Full work available at URL: https://doi.org/10.1134/s0965542518050147

zbMATH Keywords

small parametersystem of reaction-diffusion equationsinternal transition layermethod of differential inequalitiescontrast structures

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Chemical kinetics in thermodynamics and heat transfer (80A30) General biology and biomathematics (92B05) Traveling wave solutions (35C07) Moving boundary problems for PDEs (35R37) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (1)

Existence and stability of a front-type periodic solution of a two-component system of parabolic equations

Cites Work

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• Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Asymptotic theory of contrast structures (review)
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Travelling wave solutions of diffusive Lotka-Volterra equations
• Step-like contrast structure in a singularly perturbed system of parabolic equations
• Dynamics of spatially nonuniform patterning in the model of blood coagulation
• Pattern formation in non-gradient reaction-diffusion systems: the effects of front bifurcations
• A Class of Singularly Perturbed Convection-Diffusion Problems with a Moving Interior Layer. An a Posteriori Adaptive Mesh Technique
• Front Dynamics in an Activator-Inhibitor System of Equations

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