期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 51, 期 12, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.3521555
关键词
-
资金
- GNR MOMAS CNRS(Modelisation Mathematique et Simulations numeriques liees aux problemes de gestion des dechets nucleaires)
- Chair Mathematical modeling and numerical simulation, F-EADS - Ecole Polytechnique - INRIA
In this paper we undertake the rigorous homogenization of a system of partial differential equations describing the transport of a N-component electrolyte in a dilute Newtonian solvent through a rigid porous medium. The motion is governed by a small static electric field and a small hydrodynamic force, which allows us to use O'Brien's linearized equations as the starting model. We establish convergence of the homogenization procedure and discuss the homogenized equations. Even if the symmetry of the effective tensor is known from the literature [J. R. Looker and S. L. Carnie, Transp. Porous Media, 65, 107 (2006)], its positive definiteness does not seem to be known. Based on the rigorous study of the underlying equations, we prove that the effective tensor satisfies Onsager properties, namely is symmetric positive definite. This result justifies the approach of many authors who use Onsager theory as starting point. (C) 2010 American Institute of Physics. [doi:10.1063/1.3521555]
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据