Homogenization estimates for texture evolution in halite
نویسندگان
چکیده
منابع مشابه
Uniform Estimates in Two Periodic Homogenization Problems
We analyze two partial diierential equations that are posed on perforated domains. We provide a priori estimates, that do not depend on the size of the perforation: a sequence of solutions is uniformly bounded in a Sobolev space of regular functions. The rst homogeniza-tion problem concerns the Laplace-and the mean-curvature operator with Neumann boundary conditions. We derive uniform Lipschitz...
متن کاملOn uniform H-estimates in periodic homogenization
where the matrix a(y) = [ak`(y)] is symmetric and positive de nite a(y) > ¬ I with ¬ > 0. Its entries belong to L # (Y ) (Y is the cube ]0; 2 o [ N and subscript `#’ means that the space consists of Y -periodic functions). In the sequel, we will make various further length-scale regularity assumptions on the coe ̄ cients ak` which play a central role throughout the paper. Some of them are as fo...
متن کاملTail estimates for homogenization theorems in random media
It is known that a random walk on Z among i.i.d. uniformly elliptic random bond conductances verifies a central limit theorem. It is also known that approximations of the covariance matrix can be obtained by considering periodic environments. Here we estimate the speed of convergence of this homogenization result. We obtain similar estimates for finite volume approximations of the effective con...
متن کاملError estimates for periodic homogenization with non-smooth coefficients
In this paper we present new results regarding the H1 0 -norm error estimate for the classical problem in homogenization using suitable boundary layer correctors. Compared with all the existing results on the subject, which assume either smooth enough coefficients or smooth data, we use the periodic unfolding method and propose a new asymptotic series to approximate the solution uε with an erro...
متن کاملHomogenization estimates for fiber-reinforced elastomers with periodic microstructures
This work presents a homogenization-based constitutive model for the mechanical behavior of elastomers reinforced with aligned cylindrical fibers subjected to finite deformations. The proposed model is derived by making use of the second-order homogenization method [Lopez-Pamies, O., Ponte Castañeda, P., 2006a. On the overall behavior, microstructure evolution, and macroscopic stability in rein...
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: Tectonophysics
سال: 2005
ISSN: 0040-1951
DOI: 10.1016/j.tecto.2005.06.007