dc.contributor.author Danchin, Raphaël dc.contributor.author Fanelli, Francesco dc.contributor.author Paicu, Marius dc.date.accessioned 2018-05-28T07:27:07Z dc.date.available 2018-05-28T07:27:07Z dc.date.issued 2018-05-28 dc.identifier.uri http://publications.mfo.de/handle/mfo/1363 dc.description.abstract We 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.iso en_US en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2018,10 dc.subject Compressible Navier-Stokes equations en_US dc.subject Bounded density en_US dc.subject Maximal regularity en_US dc.subject Tangential regularity en_US dc.subject Lagrangian formulation en_US dc.title A Well-Posedness Result for Viscous Compressible Fluids with Only Bounded Density en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2018-10 local.scientificprogram OWLF 2017 en_US local.series.id OWP-2018-10 en_US local.subject.msc 35 en_US local.subject.msc 76 en_US
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