Show simple item record

dc.contributor.authorSpeck, Jared R.
dc.date.accessioned2020-08-19T12:01:07Z
dc.date.available2020-08-19T12:01:07Z
dc.date.issued2019-10
dc.identifier.issn0360-5302
dc.identifier.urihttps://hdl.handle.net/1721.1/126672
dc.description.abstractWe study the relativistic Euler equations on the Minkowski spacetime background. We make assumptions on the equation of state and the initial data that are relativistic analogs of the well-known physical vacuum boundary condition, which has played an important role in prior work on the non-relativistic compressible Euler equations. Our main result is the derivation, relative to Lagrangian (also known as co-moving) coordinates, of local-in-time a priori estimates for the solution. The solution features a fluid-vacuum boundary, transported by the fluid four-velocity, along which the hyperbolicity of the equations degenerates. In this context, the relativistic Euler equations are equivalent to a degenerate quasilinear hyperbolic wave-map-like system that cannot be treated using standard energy methods.en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant DMS-1162211)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Career Grant 454419)en_US
dc.language.isoen
dc.publisherTaylor & Francis Group, LLC.en_US
dc.relation.isversionof10.1080/03605302.2019.1583250en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titleA priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundaryen_US
dc.typeArticleen_US
dc.identifier.citationHadžić, Mahir, Steve Shkoller and Jarad Speck. “A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary.” Communications in partial differential equations, vol. 44, no. 10, 2019, pp. 859-906 © 2019 The Author(s)en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.relation.journalCommunications in partial differential equationsen_US
dc.eprint.versionOriginal manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dc.date.updated2019-11-20T19:25:11Z
dspace.date.submission2019-11-20T19:25:14Z
mit.journal.volume44en_US
mit.journal.issue10en_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record