Some results on homogenization of convection-diffusion equations

DOI10.1007/BF00375401zbMath0742.35007OpenAlexW1987720105MaRDI QIDQ1814192

Youcef Amirat, Abdelhamid Ziani, Kamel Hamdache

Publication date: 25 June 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00375401

zbMATH Keywords

weak convergencedegenerate convection-diffusion equationsmemory effectsnonlocal effectoscillating coefficientsstability resultlongitudinal diffusiontransverse diffusion

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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GUIDING CENTER DRIFT INDUCED BY HOMOGENIZATION ⋮ HOMOGENIZATION OF THE DIRAC-LIKE SYSTEM ⋮ A Hilbert space approach to homogenization of linear ordinary differential equations including delay and memory terms ⋮ Homogenization of transport equations: a simple PDE approach to the Kubo formula ⋮ Homogenized elliptic equations and variational inequalities with oscillating parameters. Application to the study of thin flow behavior with rough surfaces ⋮ Homogenisation of parametrised families of hyperbolic problems ⋮ Homogenization of linear and nonlinear ordinary differential equations with time depending coefficients ⋮ Polarization and relaxation effects induced by two-scale homogenization ⋮ Links between Young measures associated to constrained sequences ⋮ On some nonlocal homogenization problems and problems of fluids in porous media: a contribution of Abdelhamid Ziani ⋮ Homogenization and electronic polarization effects in dielectric materials ⋮ Weak turbulence plasma induced by two-scale homogenization ⋮ Scale-transformations in the homogenization of nonlinear magnetic processes ⋮ Homogenization of a linear transport equation with time depending coefficient

Cites Work

• Homogenization of first order hyperbolic equations and application to miscible flow in porous media
• Averaging transfer equations in porous media with random inhomogeneities
• Conditional averaging of the equations of flow in random composite porous media
• Non-homogeneous media and vibration theory
• Longitudinal dispersion coefficients for varying channels
• A delay-diffusion description for contaminant dispersion
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
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