Homogenized Dynamics of Stochastic Partial Differential Equations with Dynamical Boundary Conditions

被引:0
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作者
Wei Wang
Jinqiao Duan
机构
[1] Chinese Academy of Sciences,Institute of Applied Mathematics
[2] Illinois Institute of Technology,Department of Applied Mathematics
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关键词
Small Hole; Macroscopic Model; Stochastic Partial Differential Equation; Perforated Domain; Static Boundary Condition;
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摘要
A microscopic heterogeneous system under random influence is considered. The randomness enters the system at physical boundary of small scale obstacles as well as at the interior of the physical medium. This system is modeled by a stochastic partial differential equation defined on a domain perforated with small holes (obstacles or heterogeneities), together with random dynamical boundary conditions on the boundaries of these small holes.
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页码:163 / 186
页数:23
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