| dc.contributor.author | Baer, Eric | |
| dc.contributor.author | Vasseur, Alexis | |
| dc.date.accessioned | 2014-01-13T14:38:05Z | |
| dc.date.available | 2014-01-13T14:38:05Z | |
| dc.date.issued | 2013-07 | |
| dc.date.submitted | 2012-07 | |
| dc.identifier.issn | 0036-1410 | |
| dc.identifier.issn | 1095-7154 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/83887 | |
| dc.description.abstract | We give a uniform bound from below on the temperature for a variant of the compressible Navier-Stokes--Fourier system, under suitable hypotheses. This system of equations forms a mathematical model of the motion of a compressible fluid subject to heat conduction. Building upon the work of [A. Mellet and A. Vasseur, Monatsh. Math., 157 (2009), pp. 143--161], we identify a class of weak solutions satisfying a localized form of the entropy inequality (adapted to measure the set where the temperature becomes small) and use a form of the De Giorgi argument for L∞ bounds of solutions to elliptic equations with bounded measurable coefficients. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Award DMS-1204557) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Society for Industrial and Applied Mathematics | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1137/120883773 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Society for Industrial and Applied Mathematics | en_US |
| dc.title | A Bound from Below on the Temperature for the Navier--Stokes--Fourier System | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Baer, Eric, and Alexis Vasseur. “A Bound from Below on the Temperature for the Navier--Stokes--Fourier System.” SIAM Journal on Mathematical Analysis 45, no. 4 (January 2013): 2046-2063. © 2013, Society for Industrial and Applied Mathematics | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Baer, Eric | en_US |
| dc.relation.journal | SIAM Journal on Mathematical Analysis | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Baer, Eric; Vasseur, Alexis | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-8283-8661 | |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
