Periodic homogenization with an interface: The one-dimensional case
نویسندگان
چکیده
منابع مشابه
Periodic Homogenization with an Interface: the One-dimensional Case
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 ...
متن کاملPeriodic Homogenization with an Interface: the Multi-dimensional Case
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...
متن کاملPeriodic 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...
متن کاملHomogenization of periodic multi-dimensional structures
Riassunto. Si studia il comportamento asintotico di una classe di funzionali integrali che possono dipendere da misure concentrate su strutture periodiche multidimensionali, quando tale periodo tende a 0. Il problema viene ambientato in spazi di Sobolev rispetto a misure periodiche. Si dimostra, sotto ipotesi generali, che un appropriato limite può venire definito su uno spazio di Sobolev usual...
متن کاملHomogenization of Periodic Multi-dimensional Structures: the Linearly Elastic/perfectly Plastic Case
In this paper we study the asymptotic behaviour via Γ-convergence of some integral functionals Fε which model some multi-dimensional structures and depend explicitly on the linearized strain tensor. The functionals Fε are defined in particular classes of functions with bounded deformation while the limit problem is set in the usual framework of Sobolev spaces or BD(Ω). We also construct an exam...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2010
ISSN: 0304-4149
DOI: 10.1016/j.spa.2010.03.016