Average and deviation for slow-fast stochastic partial differential equations
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Publication:439101
DOI10.1016/j.jde.2012.05.011zbMath1251.35201arXiv0904.1462OpenAlexW2963935873MaRDI QIDQ439101
Publication date: 1 August 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.1462
Martingales with continuous parameter (60G44) PDEs with randomness, stochastic partial differential equations (35R60) Convergence of probability measures (60B10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Averaging principle for a class of stochastic reaction-diffusion equations
- Compact sets in the space \(L^ p(0,T;B)\)
- A limit theorem for turbulent diffusion
- Averaging and fluctuations for parabolic equations with rapidly oscillating random coefficients
- Diffusion approximation for slow motion in fully coupled averaging
- Probability and partial differential equations in modern applied mathematics. Selected papers presented at the 2003 IMA summer program, Minneapolis, MN, USA, July 21 -- August 1, 2003
- Mathematical Modeling in Continuum Mechanics
- CONCEPTUAL STOCHASTIC CLIMATE MODELS
- AVERAGING IN SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
- Second order PDE's in finite and infinite dimension
- Stochastic Equations in Infinite Dimensions
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