On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption

DOI10.3934/cpaa.2018031zbMath1378.35171OpenAlexW2768453369WikidataQ111288206 ScholiaQ111288206MaRDI QIDQ1691302

Igor Pažanin, Marcone Corrêa Pereira

Publication date: 15 January 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018031

zbMATH Keywords

nonlinear boundary conditionthin domainconvection-diffusion-reaction equationconcentrating term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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A numerical algorithm based on modified orthogonal linear spline for solving a coupled nonlinear inverse reaction-diffusion problem ⋮ The \(p\)-Laplacian equation in a rough thin domain with terms concentrating on the boundary ⋮ Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes ⋮ Regular dynamics for stochastic FitzHugh-Nagumo systems with additive noise on thin domains ⋮ An optimal control problem in a tubular thin domain with rough boundary ⋮ Robin-type boundary conditions in transition from reaction-diffusion equations in 3D domains to equations in 2D domains ⋮ Roughness-induced effects on the convection–diffusion–reaction problem in a thin domain

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