A New Derivation of Robin Boundary Conditions through Homogenization of a Stochastically Switching Boundary

DOI10.1137/15M1015182zbMath1327.35463MaRDI QIDQ3449039

Sean D. Lawley, James P. Keener

Publication date: 3 November 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Robin boundary conditionsstochastic hybrid systemspiecewise deterministic Markov processrandom PDEsinterface jump conditions

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Cites Work

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• Partially Reflected Diffusion
• Effective permeability of the boundary of a domain
• Moment equations for a piecewise deterministic PDE
• Escape from a potential well with a randomly switching boundary

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