Stochastic homogenization of quasilinear PDEs with a spatial degeneracy

DOI10.3233/ASY-2008-0925zbMath1180.35591OpenAlexW1731882074MaRDI QIDQ5901753

Rémi Rhodes, François Delarue

Publication date: 22 May 2009

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-2008-0925

zbMATH Keywords

stochastic homogenizationfirst-order approximationergodic operatordegenerate quasilinear parabolic PDEs

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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A CLT for degenerate diffusions with periodic coefficients, and application to homogenization of linear PDEs ⋮ Stochastic homogenization of \(\Lambda\)-convex gradient flows ⋮ Homogenization of locally stationary diffusions with possibly degenerate diffusion matrix ⋮ Fluctuations of Random Semilinear Advection Equations ⋮ Scaling limits and stochastic homogenization for some nonlinear parabolic equations ⋮ Diffusion in a locally stationary random environment ⋮ Homogenization of periodic semilinear parabolic degenerate PDEs ⋮ A Sobolev Inequality and the Individual Invariance Principle for Diffusions in a Periodic Potential

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