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. 195207.

PDF
Neumann_boundary.pdf Download (296kB) 
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) = OmegaSepsilon 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;twoscale 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 
Actions (login required)
View Item 