Stochastic continuity equations–A general uniqueness result

We showexistence and uniqueness of L ∞ -solutions to stochastic continuity equations with Ladyzhenskaya-Prodi-Serrin condition. The main issue of uniqueness is proved reeling on stochastic characteristic method.

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Bibliographic Details
Published in:Boletim da Sociedade Brasileira de Matemática 2016-06, Vol.47 (2), p.631-639
Main Authors: Neves, Wladimir, Olivera, Christian
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
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Summary:We showexistence and uniqueness of L ∞ -solutions to stochastic continuity equations with Ladyzhenskaya-Prodi-Serrin condition. The main issue of uniqueness is proved reeling on stochastic characteristic method.
ISSN:1678-7544
1678-7714
DOI:10.1007/s00574-016-0174-6