Variational principle for weighted porous media equation
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🧮 math.PR
keywords
equationmediaporousprinciplesomevariationalweightedapproach
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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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