Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/92711
Type: Artigo de periódico
Title: Weak Stability Of Lagrangian Solutions To The Semigeostrophic Equations
Author: Faria J.C.O.
Lopes Filho M.C.
Nussenzveig Lopes H.J.
Abstract: In (Cullen and Feldman 2006 SIAM J. Math. Anal. 37 137-95), Cullen and Feldman proved the existence of Lagrangian solutions for the semigeostrophic system in physical variables with initial potential vorticity in Lp, p > 1. Here, we show that a subsequence of the Lagrangian solutions corresponding to a strongly convergent sequence of initial potential vorticities in L1 converges strongly in Lq, q < ∞, to a Lagrangian solution, in particular extending the existence result of Cullen and Feldman to the case p = 1. We also present a counterexample for Lagrangian solutions corresponding to a sequence of initial potential vorticities converging in . The analytical tools used include techniques from optimal transportation, Ambrosio's results on transport by BV vector fields and Orlicz spaces. © 2009 IOP Publishing Ltd and London Mathematical Society.
Editor: 
Rights: fechado
Identifier DOI: 10.1088/0951-7715/22/10/011
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-70350647152&partnerID=40&md5=87b7238e3fbb4b27cee5c3c9949d11b3
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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