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dc.contributor.authorDanchin, Raphaël
dc.contributor.authorFanelli, Francesco
dc.contributor.authorPaicu, Marius
dc.date.accessioned2018-05-28T07:27:07Z
dc.date.available2018-05-28T07:27:07Z
dc.date.issued2018-05-28
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1363
dc.description.abstractWe are concerned with the existence and uniqueness of solutions with only bounded density for the barotropic compressible Navier-Stokes equations. Assuming that the initial velocity has slightly sub-critical regularity and that the initial density is a small perturbation (in the $L^\infty$ norm) of a positive constant, we prove the existence of local-in-time solutions. In the case where the density takes two constant values across a smooth interface (or, more generally, has striated regularity with respect to some nondegenerate family of vector-fields), we get uniqueness. This latter result supplements the work by D. Hoff in [26] with a uniqueness statement, and is valid in any dimension $d\geq2$ and for general pressure laws.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2018,10
dc.subjectCompressible Navier-Stokes equationsen_US
dc.subjectBounded densityen_US
dc.subjectMaximal regularityen_US
dc.subjectTangential regularityen_US
dc.subjectLagrangian formulationen_US
dc.titleA Well-Posedness Result for Viscous Compressible Fluids with Only Bounded Densityen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2018-10
local.scientificprogramOWLF 2017en_US
local.series.idOWP-2018-10en_US
local.subject.msc35en_US
local.subject.msc76en_US
dc.identifier.urnurn:nbn:de:101:1-2018062710235804606605
dc.identifier.ppn1653384158


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