Time-independent reaction-diffusion equation with a discontinuous reactive term

DOI10.1134/S0965542517050062zbMath1372.35020OpenAlexW2622319036MaRDI QIDQ2401111

N. T. Levashova, A. O. Orlov, Nikolai N. Nefedov

Publication date: 31 August 2017

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

Full work available at URL: https://doi.org/10.1134/s0965542517050062

zbMATH Keywords

boundary layersasymptotics of solutionestimation of accuracyelliptic reaction-diffusion problemgeneralized asymptotic comparison principle

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Semilinear elliptic equations (35J61)

Related Items (18)

Contrast structures in the reaction-diffusion-advection problem in the case of a weak reaction discontinuity ⋮ Existence of contrast structures in a problem with discontinuous reaction and advection ⋮ Solution of contrast structure type for a parabolic reaction-diffusion problem in a medium with discontinuous characteristics ⋮ Internal layer for a system of singularly perturbed equations with discontinuous right-hand side ⋮ Multizonal boundary and internal layers in the singularly perturbed problems for a stationary equation of reaction-advection-diffusion type with weak and discontinuous nonlinearity ⋮ 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 layers for a singularly perturbed second-order quasilinear differential equation with discontinuous right-hand side ⋮ 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 ⋮ Contrast structures in problems for a stationary equation of reaction-diffusion-advection type with discontinuous nonlinearity ⋮ Existence and stability of a front-type periodic solution of a two-component system of parabolic equations ⋮ Multizonal internal layers in the singularly perturbed equation with a discontinuous right-hand side ⋮ Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term ⋮ Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion equation with a multiple root of the degenerate equation ⋮ Asymptotic stability of a stationary solution of a multidimensional reaction-diffusion equation with a discontinuous source ⋮ Existence and stability of periodic solution of contrast structure type in discontinuous singularly perturbed reaction-convection-diffusion problem ⋮ ON THE ASYMPTOTIC SOLUTION TO A TYPE OF PIECEWISE-CONTINUOUS SECOND-ORDER DIRICHLET PROBLEMS OF TIKHONOV SYSTEM

Cites Work

• Internal layers in the one-dimensional reaction-diffusion equation with a discontinuous reactive term
• 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
• Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter
• ON EQUATIONS OF THE FORM $ \Delta u = f(x, u, Du)$
• INTERIOR TRANSITION LAYERS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH A SMALL PARAMETER
• A steplike contrast structure in a singularly perturbed system of elliptic equations
• On parabolic equations with a small parameter
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