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dc.contributor.authorHaspot, Boris
dc.date.accessioned2011-09-22T14:43:27Z
dc.date.available2011-09-22T14:43:27Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6994
dc.language.isoenen
dc.subjectviscosityen
dc.subject.ddc515en
dc.titleLocal and global well-posedness results for density-dependent incompressible fluidsen
dc.typeDocument de travail / Working paper
dc.description.abstractenThis paper is dedicated to the study of the initial value problem for density dependent incompressible viscous fluids in R N with N ≥ 2. We address the question of well-posedness for large data having critical Besov regularity and we aim at stating well-posedness in functional spaces as close as possible to the ones imposed in the incompressible Navier-Stokes system by Cannone, Meyer and Planchon in [7] where u0 ∈ B N p −1 p, ∞ with 1 ≤ p < +∞ . T his im proves the analysis of [13], [14] and [2] where u0 is considered belonging to B N p −1 p, 1 with 1 ≤ p < 2 N. Our result relies on a new a priori estimate for transport equation introduced by Bahouri, Chemin and Danchin in [5] when the velocity u is not considered Lipschitz.en
dc.publisher.nameKarls Ruprecht Universitäten
dc.publisher.cityHeidelbergen
dc.identifier.citationpages31en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelAnalyseen


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