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Homogenization of oscillating boundaries
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2008
Year
Pattern FormationPhysicsFree Boundary ProblemPeriodic Unfolding MethodOscillation TheoryVariational Problem2-Dimensional DomainsBifurcation TheoryPeriodic Travelling WaveFunctional AnalysisHomogenization (Chemistry)Calculus Of VariationNonlinear Functional Analysis
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.