From averaging to homogenization in cellular flows - an exact description of the transition
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🧮 math.PR
math.AP
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descriptionlimitsolutiontwo-parameteraveragingaveraging-homogenizationbehaviorcellular
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We consider a two-parameter averaging-homogenization type elliptic problem together with the stochastic representation of the solution. A limit theorem is derived for the corresponding diffusion process and a precise description of the two-parameter limit behavior for the solution of the PDE is obtained.
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