Homogenization of a parabolic equation in perforated domain with Neumann boundary condition

Nandakumaran, AK and Rajesh, M (2002) Homogenization of a parabolic equation in perforated domain with Neumann boundary condition. In: Proceedings of the Indian Academy of Sciences Mathematical Sciences, 112 (1). pp. 195-207.

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Abstract

In this article, we study the homogenization of the family of parabolic equations over periodically perforated domains partial derivative(t)b (x/epsilon, u(epsilon)) - diva (x/epsilon, u(epsilon), delu(epsilon)) = f(x, t) in Omega(epsilon) x (0, T), a (x/epsilon, u(epsilon), delu(epsilon)) . nu(epsilon) = 0 on partial derivativeS(epsilon) x (0, T), u(epsilon) = 0 on partial derivativeOmega x (0, T), u(epsilon) (x, 0) = u(0)(x) in Omega(epsilon). Here, Omega(epsilon) = OmegaS-epsilon is a periodically perforated domain. We obtain the homogenized equation and corrector results. The homogenization of the equations on a fixed domain was studied by the authors [15]. The homogenization for a fixed domain and b (x/epsilon, u(epsilon)) = b(u(epsilon)) has been done by Jian [11].

Item Type:	Journal Article
Publication:	Proceedings of the Indian Academy of Sciences Mathematical Sciences
Publisher:	Indian Academy Sciences
Additional Information:	Copyright for this article belongs to Indian Academy of Sciences.
Keywords:	Homogenization;perforated domain;two-scale convergence;correctors
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	09 Sep 2004
Last Modified:	19 Sep 2010 04:16
URI:	http://eprints.iisc.ac.in/id/eprint/2016

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