Homogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer

DOI10.1007/BF03322605zbMath1310.35026MaRDI QIDQ489961

Andrey L. Piatnitski, Iryna L. Pankratova, Grégoire Allaire

Publication date: 21 January 2015

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

zbMATH Keywords

homogenizationDirichlet boundary conditionconvection-diffusionlocalizationlayerthin cylinderboundary layer correctors

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Andronov-Hopf bifurcation in logistic delay equations with diffusion and rapidly oscillating coefficients, Homogenization and concentration for a diffusion equation with large convection in a bounded domain, Homogenization over the spatial variable in nonlinear parabolic systems

Cites Work

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• Homogenization in polygonal domains
• Homogenization and concentration for a diffusion equation with large convection in a bounded domain
• Homogenization and boundary layers
• Homogenization of a convection-diffusion model with reaction in a porous medium
• On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder
• Homogenization of eigenvalue problems in perforated domains
• The spectral method in asymptotic diffusion problems with drift
• Elliptic partial differential equations of second order
• Homogenization of Poisson's kernel and applications to boundary control
• AVERAGING A SINGULARLY PERTURBED EQUATION WITH RAPIDLY OSCILLATING COEFFICIENTS IN A LAYER
• Homogenization of a diffusion equation with drift
• Analyse asymptotique spectrale d’un problème de diffusion neutronique
• Homogenization of a neutronic critical diffusion problem with drift
• Homogenization of a Nonlinear Convection-Diffusion Equation with Rapidly Oscillating Coefficients and Strong Convection