Global existence of weak solutions to the Navier-Stokes equations with temperature-depending viscosity coefficient
In this paper, the initial-boundary value problem to the three-dimensional inhomogeneous, incompressible and heat-conducting Navier-Stokes equations with temperature-depending viscosity coefficient is considered in a bounded domain. The viscosity coefficient is degenerate and may vanish in the regio...
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| creator | Yu, Cheng Zuo, Bijun |
| description | In this paper, the initial-boundary value problem to the three-dimensional
inhomogeneous, incompressible and heat-conducting Navier-Stokes equations with
temperature-depending viscosity coefficient is considered in a bounded domain.
The viscosity coefficient is degenerate and may vanish in the region of
absolutely zero temperature. Global existence of weak solutions to such a
system is established for the large initial data. The proof is based on a
three-level approximate scheme, the De Giorgi's method and compactness
arguments. |
| doi_str_mv | 10.48550/arxiv.2010.08080 |
| format | Article |
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inhomogeneous, incompressible and heat-conducting Navier-Stokes equations with
temperature-depending viscosity coefficient is considered in a bounded domain.
The viscosity coefficient is degenerate and may vanish in the region of
absolutely zero temperature. Global existence of weak solutions to such a
system is established for the large initial data. The proof is based on a
three-level approximate scheme, the De Giorgi's method and compactness
arguments.</description><identifier>DOI: 10.48550/arxiv.2010.08080</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs</subject><creationdate>2020-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2010.08080$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2010.08080$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Yu, Cheng</creatorcontrib><creatorcontrib>Zuo, Bijun</creatorcontrib><title>Global existence of weak solutions to the Navier-Stokes equations with temperature-depending viscosity coefficient</title><description>In this paper, the initial-boundary value problem to the three-dimensional
inhomogeneous, incompressible and heat-conducting Navier-Stokes equations with
temperature-depending viscosity coefficient is considered in a bounded domain.
The viscosity coefficient is degenerate and may vanish in the region of
absolutely zero temperature. Global existence of weak solutions to such a
system is established for the large initial data. The proof is based on a
three-level approximate scheme, the De Giorgi's method and compactness
arguments.</description><subject>Mathematics - Analysis of PDEs</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj81OwzAQhH3hgFoegBN-gRTH-XOOVQUFqaIHeo8We01XTeNgO2n79oQWzWFGM9JIH2OPqVjkqijEM_gzjQsppkKoSffMr1v3BS3HM4WInUbuLD8hHHhw7RDJdYFHx-Me-QeMhD75jO6AgePPALf5RHHPIx579BAHj4nBHjtD3TcfKWgXKF64dmgtacIuztmdhTbgw7_P2O71Zbd6Szbb9ftquUmgrEQiTZ5rWZi6EBVWCpSQJaCpSoXCmtSm9RStqEEURhnMlQQhayxTyCo9oWUz9nS7vUI3vacj-EvzB99c4bNflwVXGA</recordid><startdate>20201015</startdate><enddate>20201015</enddate><creator>Yu, Cheng</creator><creator>Zuo, Bijun</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20201015</creationdate><title>Global existence of weak solutions to the Navier-Stokes equations with temperature-depending viscosity coefficient</title><author>Yu, Cheng ; Zuo, Bijun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a670-2d44c25d9507e78a8026aed768e0fd1f19768f09a05d8de482a029e61a37c0803</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Mathematics - Analysis of PDEs</topic><toplevel>online_resources</toplevel><creatorcontrib>Yu, Cheng</creatorcontrib><creatorcontrib>Zuo, Bijun</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Yu, Cheng</au><au>Zuo, Bijun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Global existence of weak solutions to the Navier-Stokes equations with temperature-depending viscosity coefficient</atitle><date>2020-10-15</date><risdate>2020</risdate><abstract>In this paper, the initial-boundary value problem to the three-dimensional
inhomogeneous, incompressible and heat-conducting Navier-Stokes equations with
temperature-depending viscosity coefficient is considered in a bounded domain.
The viscosity coefficient is degenerate and may vanish in the region of
absolutely zero temperature. Global existence of weak solutions to such a
system is established for the large initial data. The proof is based on a
three-level approximate scheme, the De Giorgi's method and compactness
arguments.</abstract><doi>10.48550/arxiv.2010.08080</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | Global existence of weak solutions to the Navier-Stokes equations with temperature-depending viscosity coefficient |
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