Homogenization of oscillating boundaries

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January & February 2009, 23(1&2): 197-219. doi: 10.3934/dcds.2009.23.197

Homogenization of oscillating boundaries

Alain Damlamian ^1, and Klas Pettersson ^2,

1.	Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées, CNRS UMR 8050, CMC Avenue du Général De Gaulle, 94010 Créteil, France
2.	Storgatan 1, 75331 Uppsala, Sweden

Received November 2007 Revised March 2008 Published September 2008

Abstract
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A variational problem on a sequence of 2-dimensional domains with oscillating boundaries is studied. Using the periodic unfolding method, the homogenized problem is obtained in the limit as the period length approaches zero. Several extensions are also given. In this framework, a result of strong convergence is obtained which is new.

Keywords: Homogenization, Ocillating boundary, Periodic Unfolding method.

Mathematics Subject Classification: 35B27, 35J20.

Citation: Alain Damlamian, Klas Pettersson. Homogenization of oscillating boundaries. Discrete & Continuous Dynamical Systems - A, 2009, 23 (1&2) : 197-219. doi: 10.3934/dcds.2009.23.197

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