Consistency of the combined homogenization and shallow water limit holds for water waves over general topographies under minimal assumptions.
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Under a spectral-gap assumption on possibly degenerate and unbounded random conductances, sharp moment bounds are derived for the spatial growth of correctors together with a quantitative link between their integrability and that of the conductances.
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Consistency analysis for combined homogenization and shallow water limit of water waves
Consistency of the combined homogenization and shallow water limit holds for water waves over general topographies under minimal assumptions.
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Moment bounds on correctors for the degenerate random conductance model
Under a spectral-gap assumption on possibly degenerate and unbounded random conductances, sharp moment bounds are derived for the spatial growth of correctors together with a quantitative link between their integrability and that of the conductances.