Dimension reduction and homogenization of random degenerate operators. Part I
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Publication:5169622
DOI10.1112/S1461157010000252zbMath1295.35050MaRDI QIDQ5169622
Loubna Zlaïȷı, Abdelaziz Ait Moussa
Publication date: 11 July 2014
Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)
Nonlinear elliptic equations (35J60) Random operators and equations (aspects of stochastic analysis) (60H25) Random measures (60G57) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Cites Work
- Two-scale convergence with respect to measures and homogenization of monotone operators
- Diffusion in an incompressible random flow
- An introduction to the theory of point processes
- Averaging operators with boundary conditions of fine-scaled structure
- Convergence of Sobolev spaces on varying manifolds.
- Asymptotic analysis of a class of minimization problems in a thin multidomain
- On a homogenization technique for variational problems
- Energies with respect to a measure and applications to low dimensional structures
- Homogenization of Thin Structures by Two-Scale Method with Respect to Measures
- Central Limits and Homogenization in Random Media
- Homogenization of random degenerated nonlinear monotone operators
- HIGHLY OSCILLATING BOUNDARIES AND REDUCTION OF DIMENSION: THE CRITICAL CASE
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Modèle de double porosité aléatoire
- Homogenization of highly oscillating boundaries and reduction of dimension for a monotone problem
- Multiscale convergence and reiterated homogenisation
- Reduction of dimension for diffusion in a perforated thin plate
