Contrast structures in singularly perturbed quasilinear reaction-diffusion-advection equations

DOI10.1134/S0012266113060049zbMath1274.35192OpenAlexW2078182670MaRDI QIDQ376370

M. A. Davydova, Nikolai N. Nefedov

Publication date: 4 November 2013

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266113060049

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57)

Related Items (12)

Existence and stability of solutions with boundary layers in multidimensional singularly perturbed reaction-diffusion-advection problems ⋮ Existence and asymptotic stability of periodic solutions of the reaction-diffusion equations in the case of a rapid reaction ⋮ Solution of contrast structure type for a parabolic reaction-diffusion problem in a medium with discontinuous characteristics ⋮ Time-independent reaction-diffusion equation with a discontinuous reactive term ⋮ Existence and asymptotic stability of a stationary boundary-layer solution of the two-dimensional reaction-diffusion-advection problem ⋮ On one model problem for the reaction-diffusion-advection equation ⋮ On the existence and asymptotic stability of periodic contrast structures in quasilinear reaction-advection-diffusion equations ⋮ Singularly perturbed stationary diffusion model with a cubic nonlinearity ⋮ Existence and asymptotic stability of periodic two-dimensional contrast structures in the problem with weak linear advection ⋮ Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term ⋮ Existence and Stability of Contrast Structures in Multidimensional Singularly Perturbed Reaction-Diffusion-Advection Problems ⋮ The Use of Contrast Structures Theory for the Mathematical Modelling of the Wind Field in Spatially Heterogeneous Vegetation Cover

Cites Work

• Singularly perturbed problems with boundary and internal layers
• Contrast structures in multidimensional singularly perturbed reaction-diffusion-advection problems
• A spikelike solution and a critical steplike solution to a singularly perturbed second-order equation
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