Show simple item record

dc.contributor.authorHaspot, Boris
dc.date.accessioned2011-09-22T14:43:37Z
dc.date.available2011-09-22T14:43:37Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6995
dc.language.isoenen
dc.subjectbarotropic viscous fluidsen
dc.subject.ddc515en
dc.titleExistence of Global Strong Solutions in Critical Spaces for Barotropic Viscous Fluidsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper is dedicated to the study of viscous compressible barotropic fluids in dimension N ≧ 2. We address the question of the global existence of strong solutions for initial data close to a constant state having critical Besov regularity. First, this article shows the recent results of Charve and Danchin (Arch Ration Mech Anal 198(1):233–271, 2010) and Chen et al. (Commun Pure Appl Math 63:1173–1224, 2010) with a new proof. Our result relies on a new a priori estimate for the velocity that we derive via the intermediary of the effective velocity, which allows us to cancel out the coupling between the density and the velocity as in Haspot (Well-posedness in critical spaces for barotropic viscous fluids, 2009). Second, we improve the results of Charve and Danchin (2010) and Chen et al. (2010) by adding as in Charve and Danchin (2010) some regularity on the initial data in low frequencies. In this case we obtain global strong solutions for a class of large initial data which rely on the results of Hoff (Arch Rational Mech Anal 139:303–354, 1997), Hoff (Commun Pure Appl Math 55(11):1365–1407, 2002), and Hoff (J Math Fluid Mech 7(3):315–338, 2005) and those of Charve and Danchin (2010) and Chen et al. (2010). We conclude by generalizing these results for general viscosity coefficients.en
dc.relation.isversionofjnlnameArchive for Rational Mechanics and Analysis
dc.relation.isversionofjnlvol202
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages427-460
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00205-011-0430-2en
dc.identifier.urlsitehttp://arxiv.org/abs/1005.0706v1en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record