Two-scale convergence of Stekloff eigenvalue problems in perforated domains.
Douanla, Hermann (2010)
Boundary Value Problems [electronic only]
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Douanla, Hermann (2010)
Boundary Value Problems [electronic only]
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Banks, H.T., Cioranescu, D., Miller, R.E. (1996)
Portugaliae Mathematica
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Challal, S. (1999)
Rendiconti del Seminario Matematico
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Niklas Wellander (2001)
Applications of Mathematics
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The Maxwell equations in a heterogeneous medium are studied. Nguetseng’s method of two-scale convergence is applied to homogenize and prove corrector results for the Maxwell equations with inhomogeneous initial conditions. Compactness results, of two-scale type, needed for the homogenization of the Maxwell equations are proved.
Luděk Nechvátal (2010)
Mathematica Bohemica
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We homogenize a class of nonlinear differential equations set in highly heterogeneous media. Contrary to the usual approach, the coefficients in the equation characterizing the material properties are supposed to be uncertain functions from a given set of admissible data. The problem with uncertainties is treated by means of the worst scenario method, when we look for a solution which is critical in some sense.