[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2003.18.3.559

TWO-SCALE CONVERGENCE FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS

Pak, Hee-Chul (Department of Mathematics Yonsei University)

Publication Information

Communications of the Korean Mathematical Society / v.18, no.3, 2003 , pp. 559-568 More about this Journal

Abstract

We introduce the notion of two-scale convergence for partial differential equations with random coefficients that gives a very efficient way of finding homogenized differential equations with random coefficients. For an application, we find the homogenized matrices for linear second order elliptic equations with random coefficients. We suggest a natural way of finding the two-scale limit of second order equations by considering the flux term.

Keywords

homogenization; 2-scale convergence; partial differential equations with random coefficients; homogenized matrices; second order elliptic differential equations;

Citations & Related Records

Reference

1	Thin-Film Capacitance Models / [ H.C.Pak;R.E.Showalter ] / Applicable Analysis DOI
2	Monotone Operators in Banach Space and Nonlinear Partial Differential Equations / [ R.E.Showalter ] / Mathematical Surveys and Monographs
3	/ [ U.Hornung ] / Homogenization and Porous Media
4	/ [ V.V.Zhikov;S.M.Kozlov;O.A.Oleinik ] / Homogenization of Differential Operators and Integral Functionals
5	/ [ A.Benoussan;J.L.Lions;G.Papanicolaou ] / Asymptotic Analysis for Periodic Structures
6	Homogenization and two-scale convergence / [ G.Allaire ] / SIAM J. Math. Anal. DOI