Multiscale homogenization with bounded ratios and anomalous slow diffusion

DOI10.1002/cpa.10053zbMath1205.76223arXivmath/0105258OpenAlexW2097794913MaRDI QIDQ4790318

Houman Owhadi, Gérard Ben Arous

Publication date: 28 January 2003

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

Full work available at URL: https://arxiv.org/abs/math/0105258

Mathematics Subject Classification ID

Brownian motion (60J65) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Basic methods in fluid mechanics (76M99)

Related Items (8)

Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method ⋮ Reiterated homogenization of parabolic systems with several spatial and temporal scales ⋮ Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games ⋮ Brownian motion in an \(N\)-scale periodic potential ⋮ Anomalous slow diffusion from perpetual homogenization. ⋮ Counterexamples for optimal scaling of Metropolis-Hastings chains with rough target densities ⋮ Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients ⋮ Sharp Error Estimates on a Stochastic Structure-Preserving Scheme in Computing Effective Diffusivity of 3D Chaotic Flows

Cites Work

• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Brownian Motion and Harmonic Analysis on Sierpinski Carpets
• Unnamed Item

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