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Type: Artigo de periódico
Title: Existence of a weak solution for the semigeostrophic equation with integrable initial data
Author: Lopes, MC
Lopes, HJN
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.
Country: Escócia
Editor: Royal Soc Edinburgh
Citation: Proceedings Of The Royal Society Of Edinburgh Section A-mathematics. Royal Soc Edinburgh, v. 132, n. 329, n. 339, 2002.
Rights: embargo
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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