Remarks on the uniqueness of weak solutions of the incompressible Navier-Stokes equations
This article studies the uniqueness of the weak solution of the incompressible Navier-Stokes Equations in the 3-dimensional case. Here, the investigation is provided using two different approaches. The first (the main) result is obtained for given functions possessing a certain smoothness using the...
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| creator | Soltanov, Kamal N |
| description | This article studies the uniqueness of the weak solution of the
incompressible Navier-Stokes Equations in the 3-dimensional case. Here, the
investigation is provided using two different approaches. The first (the main)
result is obtained for given functions possessing a certain smoothness using
the new approach. The second result is without the complementary conditions but
is, in some sense, the "local" result investigated by another approach. In
addition, here the solvability and uniqueness of the weak solutions to
auxiliary problems lead out from the main problem are investigated. |
| doi_str_mv | 10.48550/arxiv.2405.10393 |
| format | Article |
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incompressible Navier-Stokes Equations in the 3-dimensional case. Here, the
investigation is provided using two different approaches. The first (the main)
result is obtained for given functions possessing a certain smoothness using
the new approach. The second result is without the complementary conditions but
is, in some sense, the "local" result investigated by another approach. In
addition, here the solvability and uniqueness of the weak solutions to
auxiliary problems lead out from the main problem are investigated.</description><identifier>DOI: 10.48550/arxiv.2405.10393</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs ; Mathematics - Mathematical Physics ; Physics - Mathematical Physics</subject><creationdate>2024-05</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/2405.10393$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2405.10393$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Soltanov, Kamal N</creatorcontrib><title>Remarks on the uniqueness of weak solutions of the incompressible Navier-Stokes equations</title><description>This article studies the uniqueness of the weak solution of the
incompressible Navier-Stokes Equations in the 3-dimensional case. Here, the
investigation is provided using two different approaches. The first (the main)
result is obtained for given functions possessing a certain smoothness using
the new approach. The second result is without the complementary conditions but
is, in some sense, the "local" result investigated by another approach. In
addition, here the solvability and uniqueness of the weak solutions to
auxiliary problems lead out from the main problem are investigated.</description><subject>Mathematics - Analysis of PDEs</subject><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tOwzAUBb1hgQofwAr_QIKfSb1EFS-pohJ001V0k1yrVlK7tZMCf08aWB1pNDrSEHLHWa6WWrMHiN_unAvFdM6ZNPKa7D7wALFLNHg67JGO3p1G9JgmYukXQkdT6MfBBT-Ti-N8Ew7HODmu7pG-w9lhzD6H0GGieBphtm_IlYU-4e3_Lsj2-Wm7es3Wm5e31eM6g6KUmUFlsVZNW5sGoGZWgLVC6kJpbYrSWFFYXLZWl8ogYt3IQkmugXMjWsalXJD7v9u5rTpGN_X8VJfGam6Uv0D1Tl4</recordid><startdate>20240516</startdate><enddate>20240516</enddate><creator>Soltanov, Kamal N</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20240516</creationdate><title>Remarks on the uniqueness of weak solutions of the incompressible Navier-Stokes equations</title><author>Soltanov, Kamal N</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a673-9e4feb4cdb9caab0f2aff23564559679f26fe8df5749eeebc364315a1192d0133</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Analysis of PDEs</topic><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Soltanov, Kamal N</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Soltanov, Kamal N</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Remarks on the uniqueness of weak solutions of the incompressible Navier-Stokes equations</atitle><date>2024-05-16</date><risdate>2024</risdate><abstract>This article studies the uniqueness of the weak solution of the
incompressible Navier-Stokes Equations in the 3-dimensional case. Here, the
investigation is provided using two different approaches. The first (the main)
result is obtained for given functions possessing a certain smoothness using
the new approach. The second result is without the complementary conditions but
is, in some sense, the "local" result investigated by another approach. In
addition, here the solvability and uniqueness of the weak solutions to
auxiliary problems lead out from the main problem are investigated.</abstract><doi>10.48550/arxiv.2405.10393</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs Mathematics - Mathematical Physics Physics - Mathematical Physics |
| title | Remarks on the uniqueness of weak solutions of the incompressible Navier-Stokes equations |
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