Existence and stability of periodic solution of contrast structure type in discontinuous singularly perturbed reaction-convection-diffusion problem

DOI10.1134/S0965542522100116zbMath1500.35017OpenAlexW4307109232MaRDI QIDQ2090302

Xiao Wu, Ming Kang Ni

Publication date: 25 October 2022

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

Full work available at URL: https://doi.org/10.1134/s0965542522100116

zbMATH Keywords

internal transition layerLyapunov asymptotic stabilitysingularly perturbed parabolic problemsdiscontinuous reactive term

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05) Semilinear parabolic equations (35K58)

Cites Work

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• Internal layers in the one-dimensional reaction-diffusion equation with a discontinuous reactive term
• Contrast structures in problems for a stationary equation of reaction-diffusion-advection type with discontinuous nonlinearity
• Solution of contrast structure type for a parabolic reaction-diffusion problem in a medium with discontinuous characteristics
• Internal layers for a singularly perturbed second-order quasilinear differential equation with discontinuous right-hand side
• Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front
• Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term
• Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data
• On a periodic inner layer in the reaction-diffusion problem with a modular cubic source
• Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms
• Multidimensional thermal structures in the singularly perturbed stationary models of heat and mass transfer with a nonlinear thermal diffusion coefficient
• Asymptotic stability of a stationary solution of a multidimensional reaction-diffusion equation with a discontinuous source
• Time-independent reaction-diffusion equation with a discontinuous reactive term
• Internal layer for a system of singularly perturbed equations with discontinuous right-hand side
• On the existence and asymptotic stability of periodic contrast structures in quasilinear reaction-advection-diffusion equations
• The solution with internal transition layer of the reaction‐diffusion equation in case of discontinuous reactive and diffusive terms
• Use of asymptotic analysis for solving the inverse problem of source parameters determination of nitrogen oxide emission in the atmosphere
• ON THE ASYMPTOTIC SOLUTION TO A TYPE OF PIECEWISE-CONTINUOUS SECOND-ORDER DIRICHLET PROBLEMS OF TIKHONOV SYSTEM
• An asymptotic method of differential inequalities for the investigation of periodic contrast structures: Existence, asymptotics, and stability

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