Contrast structures in problems for a stationary equation of reaction-diffusion-advection type with discontinuous nonlinearity

DOI10.1134/S0001434618110159zbMath1432.34077OpenAlexW2896667234MaRDI QIDQ668292

M. A. Davydova, Yafei Pan, Ming Kang Ni

Publication date: 19 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618110159

zbMATH Keywords

asymptotic methodsinternal transition layerproblem of reaction-diffusion-advection typeproblems with discontinuous nonlinearity

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (11)

Numerical simulation of front dynamics in a nonlinear singularly perturbed reaction-diffusion problem ⋮ Existence of contrast structures in a problem with discontinuous reaction and advection ⋮ Asymptotically stable stationary solutions of the reaction-diffusion-advection equation with discontinuous reaction and advection terms ⋮ Existence and stability of solutions with internal transition layer for the reaction-diffusion-advection equation with a KPZ-nonlinearity ⋮ On unstable contrast structures in one-dimensional reaction-diffusion-advection problems with discontinuous sources ⋮ Contrast structures in the reaction-advection-diffusion problem appearing in a drift-diffusion model of a semiconductor in the case of nonsmooth reaction ⋮ Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion-advection equation ⋮ Internal layer for a singularly perturbed equation with discontinuous right-hand side ⋮ Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms ⋮ Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term ⋮ Existence and stability of periodic solution of contrast structure type in discontinuous singularly perturbed reaction-convection-diffusion problem

Cites Work

• Unnamed Item
• Internal layers in the one-dimensional reaction-diffusion equation with a discontinuous reactive term
• Existence and stability of solutions with boundary layers in multidimensional singularly perturbed reaction-diffusion-advection problems
• Singularly perturbed problems with boundary and internal layers
• Contrast structures in multidimensional singularly perturbed reaction-diffusion-advection problems
• Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
• Time-independent reaction-diffusion equation with a discontinuous reactive term
• Existence and Stability of Contrast Structures in Multidimensional Singularly Perturbed Reaction-Diffusion-Advection Problems

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