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|Type:||Artigo de periódico|
|Title:||Existence of a weak solution for the semigeostrophic equation with integrable initial data|
|Abstract:||In this article we present a proof of existence of a weak solution for the semigeostrophic system of equations, formulated as an active scalar transport equation with Monge-Ampere coupling, with initial data in L-c(1) (R-3). This is an extension of a 1998 result due to Benamou and Brenier, who proved existence with initial data in L-c(p)(R-3), p > 3.|
|Editor:||Royal Soc Edinburgh|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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