Open AccessOn the signed porous medium flow
Author(s) -
Edoardo Mainini
Publication year - 2012
Publication title -
networks and heterogeneous media
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.732
H-Index - 34
eISSN - 1556-181X
pISSN - 1556-1801
DOI - 10.3934/nhm.2012.7.525
Subject(s) - porous medium , limit (mathematics) , flow (mathematics) , mathematical analysis , scheme (mathematics) , mathematics , porosity , physics , mechanics , materials science , composite material
We prove that the signed porous medium equation can be regarded as limit of an optimal transport variational scheme, therefore extending the classical result for positive solutions of [13] and showing that an optimal transport approach is suited even for treating signed densities.
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