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Variational approach to homogenization of doubly-nonlinear flow in a periodic structure

Nandakumaran, AK and Visintin, Augusto (2015) Variational approach to homogenization of doubly-nonlinear flow in a periodic structure. In: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 120 . pp. 14-29.

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Official URL: http://dx.doi.org/ 10.1016/j.na.2015.02.010

Abstract

This work deals with the homogenization of an initial- and boundary-value problem for the doubly-nonlinear system D(t)w - del.(z) over right arrow = g(x, t, x/epsilon) (0.1) w is an element of alpha(u, x/epsilon) (0.2) (z) over right arrow is an element of (gamma) over right arrow (del u, x/epsilon) (0.3) Here epsilon is a positive parameter; alpha and (gamma) over right arrow are maximal monotone with respect to the first variable and periodic with respect to the second one. The inclusions (0.2) and (0.3) are here formulated as null-minimization principles, via the theory of Fitzpatrick MR 1009594]. As epsilon -> 0, a two-scale formulation is derived via Nguetseng's notion of two-scale convergence, and a (single-scale) homogenized problem is then retrieved. (C) 2015 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Keywords: Homogenization; Doubly nonlinear flow; Fitzpatrick theory; Maximal monotone operators; Two-scale convergence
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 26 Jun 2015 04:59
Last Modified: 26 Jun 2015 04:59
URI: http://eprints.iisc.ac.in/id/eprint/51723

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