A Beale–Kato–Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows
We prove a blow-up criterion in terms of the upper bound of ( ρ , ρ −1 , θ ) for a strong solution to three dimensional compressible viscous heat-conductive flows. The main ingredient of the proof is an a priori estimate for a quantity independently introduced in Haspot (Regularity of weak solutions...
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| Veröffentlicht in: | Archive for rational mechanics and analysis 2011-08, Vol.201 (2), p.727-742 |
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| creator | Sun, Yongzhong Wang, Chao Zhang, Zhifei |
| description | We prove a blow-up criterion in terms of the upper bound of (
ρ
,
ρ
−1
,
θ
) for a strong solution to three dimensional compressible viscous heat-conductive flows. The main ingredient of the proof is an a priori estimate for a quantity independently introduced in
Haspot
(Regularity of weak solutions of the compressible isentropic Navier–Stokes equation, arXiv:1001.1581,
2010
) and
Sun
et al. (J Math Pure Appl 95:36–47,
2011
), whose divergence can be viewed as the effective viscous flux. |
| doi_str_mv | 10.1007/s00205-011-0407-1 |
| format | Article |
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ρ
,
ρ
−1
,
θ
) for a strong solution to three dimensional compressible viscous heat-conductive flows. The main ingredient of the proof is an a priori estimate for a quantity independently introduced in
Haspot
(Regularity of weak solutions of the compressible isentropic Navier–Stokes equation, arXiv:1001.1581,
2010
) and
Sun
et al. (J Math Pure Appl 95:36–47,
2011
), whose divergence can be viewed as the effective viscous flux.</description><identifier>ISSN: 0003-9527</identifier><identifier>EISSN: 1432-0673</identifier><identifier>DOI: 10.1007/s00205-011-0407-1</identifier><identifier>CODEN: AVRMAW</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Classical Mechanics ; Complex Systems ; Compressible flows; shock and detonation phenomena ; Computational methods in fluid dynamics ; Exact sciences and technology ; Fluid dynamics ; Fluid- and Aerodynamics ; Fundamental areas of phenomenology (including applications) ; Heat conduction ; Heat transfer ; Mathematical and Computational Physics ; Physics ; Physics and Astronomy ; Theoretical</subject><ispartof>Archive for rational mechanics and analysis, 2011-08, Vol.201 (2), p.727-742</ispartof><rights>Springer-Verlag 2011</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c411t-5ea22e13fabd2a8c8ca11680d9fc22a57baf24deffd0bb5642326c4f735c9f4b3</citedby><cites>FETCH-LOGICAL-c411t-5ea22e13fabd2a8c8ca11680d9fc22a57baf24deffd0bb5642326c4f735c9f4b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00205-011-0407-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00205-011-0407-1$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51298</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=24384622$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Sun, Yongzhong</creatorcontrib><creatorcontrib>Wang, Chao</creatorcontrib><creatorcontrib>Zhang, Zhifei</creatorcontrib><title>A Beale–Kato–Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows</title><title>Archive for rational mechanics and analysis</title><addtitle>Arch Rational Mech Anal</addtitle><description>We prove a blow-up criterion in terms of the upper bound of (
ρ
,
ρ
−1
,
θ
) for a strong solution to three dimensional compressible viscous heat-conductive flows. The main ingredient of the proof is an a priori estimate for a quantity independently introduced in
Haspot
(Regularity of weak solutions of the compressible isentropic Navier–Stokes equation, arXiv:1001.1581,
2010
) and
Sun
et al. (J Math Pure Appl 95:36–47,
2011
), whose divergence can be viewed as the effective viscous flux.</description><subject>Classical Mechanics</subject><subject>Complex Systems</subject><subject>Compressible flows; shock and detonation phenomena</subject><subject>Computational methods in fluid dynamics</subject><subject>Exact sciences and technology</subject><subject>Fluid dynamics</subject><subject>Fluid- and Aerodynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Heat conduction</subject><subject>Heat transfer</subject><subject>Mathematical and Computational Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Theoretical</subject><issn>0003-9527</issn><issn>1432-0673</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp1UMtOHDEQtCIiZSH5gNysSDka_JrHHjfDYxFEuZBcrR5PG2Y1O17csyBu-Yf8IV-CV4vCiUuXuruqVCrGvip5rKSsTkhKLQshlRLSykqoD2ymrNFClpU5YDMppRHzQlef2CHRardqU84YLPgPhAGf__67gilm-AmrDniT-glTH0ceYuI3dwmRn_ZrHCnfYOBNXG8SEvXtgPxPTz5uiS8RJtHEsdv6qX9Afj7ER_rMPgYYCL-84hH7fX520yzF9a-Ly2ZxLbxVahIFgtaoTIC201D72oNSZS27efBaQ1G1ELTtMIROtm1RWm106W2oTOHnwbbmiH3b-25SvN8iTW4VtylnJVdXdWFNnpmk9iSfIlHC4DapX0N6ckq6XZFuX6TLRbpdkU5lzfdXYyAPQ0gw-p7-C3V2tqXWmaf3PMqv8RbTW4D3zV8AziCFQg</recordid><startdate>20110801</startdate><enddate>20110801</enddate><creator>Sun, Yongzhong</creator><creator>Wang, Chao</creator><creator>Zhang, Zhifei</creator><general>Springer-Verlag</general><general>Springer</general><general>Springer Nature B.V</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7TB</scope><scope>7XB</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20110801</creationdate><title>A Beale–Kato–Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows</title><author>Sun, Yongzhong ; Wang, Chao ; Zhang, Zhifei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c411t-5ea22e13fabd2a8c8ca11680d9fc22a57baf24deffd0bb5642326c4f735c9f4b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Classical Mechanics</topic><topic>Complex Systems</topic><topic>Compressible flows; shock and detonation phenomena</topic><topic>Computational methods in fluid dynamics</topic><topic>Exact sciences and technology</topic><topic>Fluid dynamics</topic><topic>Fluid- and Aerodynamics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Heat conduction</topic><topic>Heat transfer</topic><topic>Mathematical and Computational Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sun, Yongzhong</creatorcontrib><creatorcontrib>Wang, Chao</creatorcontrib><creatorcontrib>Zhang, Zhifei</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Database (Proquest)</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Database (1962 - current)</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Computing Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection><collection>ProQuest Central Basic</collection><jtitle>Archive for rational mechanics and analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sun, Yongzhong</au><au>Wang, Chao</au><au>Zhang, Zhifei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Beale–Kato–Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows</atitle><jtitle>Archive for rational mechanics and analysis</jtitle><stitle>Arch Rational Mech Anal</stitle><date>2011-08-01</date><risdate>2011</risdate><volume>201</volume><issue>2</issue><spage>727</spage><epage>742</epage><pages>727-742</pages><issn>0003-9527</issn><eissn>1432-0673</eissn><coden>AVRMAW</coden><abstract>We prove a blow-up criterion in terms of the upper bound of (
ρ
,
ρ
−1
,
θ
) for a strong solution to three dimensional compressible viscous heat-conductive flows. The main ingredient of the proof is an a priori estimate for a quantity independently introduced in
Haspot
(Regularity of weak solutions of the compressible isentropic Navier–Stokes equation, arXiv:1001.1581,
2010
) and
Sun
et al. (J Math Pure Appl 95:36–47,
2011
), whose divergence can be viewed as the effective viscous flux.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1007/s00205-011-0407-1</doi><tpages>16</tpages></addata></record> |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Classical Mechanics Complex Systems Compressible flows shock and detonation phenomena Computational methods in fluid dynamics Exact sciences and technology Fluid dynamics Fluid- and Aerodynamics Fundamental areas of phenomenology (including applications) Heat conduction Heat transfer Mathematical and Computational Physics Physics Physics and Astronomy Theoretical |
| title | A Beale–Kato–Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows |
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