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Variational principle for weighted porous media equation

Abstract : In this paper we state the variational principle for the weighted porous media equation. It extends V.I. Arnold's approach to the description of Euler flows as a geodesics on some manifold, i.e. as a critical points of some energy functional.
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Last modification on : Saturday, August 17, 2019 - 8:30:02 AM
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  • HAL Id : hal-00872159, version 1
  • ARXIV : 1310.3098

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Alexandra Antoniouk, Marc Arnaudon. Variational principle for weighted porous media equation. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2014, 352, pp.3463-3479. ⟨hal-00872159⟩

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