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Homogenization for a class of integral functionals in spaces of probability measures - MaRDI portal

Homogenization for a class of integral functionals in spaces of probability measures (Q436228)

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scientific article; zbMATH DE number 6059023
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Homogenization for a class of integral functionals in spaces of probability measures
scientific article; zbMATH DE number 6059023

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    Homogenization for a class of integral functionals in spaces of probability measures (English)
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    20 July 2012
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    The authors deal with the homogenization (a \(\Gamma\)-convergence type argument) of a class of actions with an underlying Lagrangian defined on the set of continuous paths in the Wasserstein space \(\mathcal{P}_p(\mathbb{R}^d)\). A nice application to the homogenization of variational solutions of the one-dimensional Vlasov-Poisson system completes the paper.
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    effective Lagrangians
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    homogenization
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    mass transfer
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    Wasserstein metric
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    \(\Gamma\)-convergence type argument
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    one-dimensional Vlasov-Poisson system
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