Homogenization of an elastic double-porosity medium with imperfect interface via the periodic unfolding method
نویسندگان
چکیده
منابع مشابه
Periodic homogenization with an interface
We consider a diffusion process with coefficients that are periodic outside of an ‘interface region’ of finite thickness. The question investigated in the articles is the limiting long time / large scale behaviour of such a process under diffusive rescaling. It is clear that outside of the interface, the limiting process must behave like Brownian motion, with diffusion matrices given by the sta...
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Double porosity models for the liquid filtration in an absolutely rigid body is derived from homogenization theory. The governing equations of the fluid dynamics on the microscopic level consist of the Stokes system for a slightly compressible viscous fluid, occupying a crack – pore space. In turn, this domain is a union of two independent systems of cracks (fissures) and pores. We suppose that...
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We consider a one-dimensional diffusion process with coefficients that are periodic outside of a finite ‘interface region’. The question investigated in this article is the limiting long time / large scale behaviour of such a process under diffusive rescaling. Our main result is that it converges weakly to a rescaled version of skew Brownian motion, with parameters that can be given explicitly ...
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We consider a diffusion process with coefficients that are periodic outside of an ‘interface region’ of finite thickness. The question investigated in this article is the limiting long time / large scale behaviour of such a process under diffusive rescaling. It is clear that outside of the interface, the limiting process must behave like Brownian motion, with diffusion matrices given by the sta...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2013
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2013-265