Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities
All $(-1)$-homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus north and south poles have been classified in our earlier work as a four dimensional surface with boundary. In this paper, we estab...
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| creator | Li, Li Li, YanYan Yan, Xukai |
| description | All $(-1)$-homogeneous axisymmetric no-swirl solutions of incompressible
stationary Navier-Stokes equations in three dimension which are smooth on the
unit sphere minus north and south poles have been classified in our earlier
work as a four dimensional surface with boundary. In this paper, we establish
near the no-swirl solution surface existence, non-existence and uniqueness
results on $(-1)$-homogeneous axisymmetric solutions with nonzero swirl which
are smooth on the unit sphere minus north and south poles. |
| doi_str_mv | 10.48550/arxiv.1901.08218 |
| format | Article |
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stationary Navier-Stokes equations in three dimension which are smooth on the
unit sphere minus north and south poles have been classified in our earlier
work as a four dimensional surface with boundary. In this paper, we establish
near the no-swirl solution surface existence, non-existence and uniqueness
results on $(-1)$-homogeneous axisymmetric solutions with nonzero swirl which
are smooth on the unit sphere minus north and south poles.</description><identifier>DOI: 10.48550/arxiv.1901.08218</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs</subject><creationdate>2019-01</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/1901.08218$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1901.08218$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Li, Li</creatorcontrib><creatorcontrib>Li, YanYan</creatorcontrib><creatorcontrib>Yan, Xukai</creatorcontrib><title>Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities</title><description>All $(-1)$-homogeneous axisymmetric no-swirl solutions of incompressible
stationary Navier-Stokes equations in three dimension which are smooth on the
unit sphere minus north and south poles have been classified in our earlier
work as a four dimensional surface with boundary. In this paper, we establish
near the no-swirl solution surface existence, non-existence and uniqueness
results on $(-1)$-homogeneous axisymmetric solutions with nonzero swirl which
are smooth on the unit sphere minus north and south poles.</description><subject>Mathematics - Analysis of PDEs</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpVkL1OwzAUhb0woMIDMHFfIMFu_pwRVUAjVTCQPbqJrxuLNC6208LKk5O2LEz3DN850v0YuxM8TmWW8Qd0X-YQi5KLmMulkNfsZ213dksj2cmDt8MUjB09WA0-4Cmj-4ZXPBhy0XuwH-SBPie8UEcTejBzCwMp8GbcTgM6E8xM2RFCTzCNJoDf9-QohqqqYqiP9j96w640Dp5u_-6C1c9P9Wodbd5eqtXjJsK8kJHmquwk8TRPiWudatK6FW2LhUqSQmkqkgL1smtVWvIMJVetlJJIaupyjl2yYPeX2bOEZu_Mbv6tOclozjKSX9-2X0Y</recordid><startdate>20190123</startdate><enddate>20190123</enddate><creator>Li, Li</creator><creator>Li, YanYan</creator><creator>Yan, Xukai</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20190123</creationdate><title>Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities</title><author>Li, Li ; Li, YanYan ; Yan, Xukai</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a678-f0d9c8e0464e0ff4feffb1bba7d337dfe737af2cbd4905a80db888ee8fec60ac3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Mathematics - Analysis of PDEs</topic><toplevel>online_resources</toplevel><creatorcontrib>Li, Li</creatorcontrib><creatorcontrib>Li, YanYan</creatorcontrib><creatorcontrib>Yan, Xukai</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Li, Li</au><au>Li, YanYan</au><au>Yan, Xukai</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities</atitle><date>2019-01-23</date><risdate>2019</risdate><abstract>All $(-1)$-homogeneous axisymmetric no-swirl solutions of incompressible
stationary Navier-Stokes equations in three dimension which are smooth on the
unit sphere minus north and south poles have been classified in our earlier
work as a four dimensional surface with boundary. In this paper, we establish
near the no-swirl solution surface existence, non-existence and uniqueness
results on $(-1)$-homogeneous axisymmetric solutions with nonzero swirl which
are smooth on the unit sphere minus north and south poles.</abstract><doi>10.48550/arxiv.1901.08218</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities |
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