A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes Equations
We examine the conditional regularity of the solutions of Navier-Stokes equations in the entire three-dimensional space under the assumption that the data are axially symmetric. We show that if positive part of the radial component of velocity satisfies a weighted Serrin type condition and in additi...
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| Format: | Article |
| Language: | English |
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De Gruyter
2015-03-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/dema.2015.48.issue-1/dema-2015-0006/dema-2015-0006.xml?format=INT |
| _version_ | 1818361157047549952 |
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| author | Kubica Adam |
| author_facet | Kubica Adam |
| author_sort | Kubica Adam |
| collection | DOAJ |
| description | We examine the conditional regularity of the solutions of Navier-Stokes equations in the entire three-dimensional space under the assumption that the data are axially symmetric. We show that if positive part of the radial component of velocity satisfies a weighted Serrin type condition and in addition angular component satisfies some condition, then the solution is regular. |
| first_indexed | 2024-12-13T21:12:13Z |
| format | Article |
| id | doaj.art-95b082be7a3c485ea00c82cfe5e2a07e |
| institution | Directory Open Access Journal |
| issn | 0420-1213 2391-4661 |
| language | English |
| last_indexed | 2024-12-13T21:12:13Z |
| publishDate | 2015-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-95b082be7a3c485ea00c82cfe5e2a07e2022-12-21T23:31:19ZengDe GruyterDemonstratio Mathematica0420-12132391-46612015-03-01481627210.1515/dema-2015-0006dema-2015-0006A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes EquationsKubica Adam0FACULTY OF MATHEMATICS AND INFORMATION SCIENCE WARSAW UNIVERSITY OF TECHNOLOGY Pl. Politechniki 1 00-661 WARSAWWe examine the conditional regularity of the solutions of Navier-Stokes equations in the entire three-dimensional space under the assumption that the data are axially symmetric. We show that if positive part of the radial component of velocity satisfies a weighted Serrin type condition and in addition angular component satisfies some condition, then the solution is regular.http://www.degruyter.com/view/j/dema.2015.48.issue-1/dema-2015-0006/dema-2015-0006.xml?format=INTNavier-Stokes equationsaxial symmetryregularity criteriaweighted spaces |
| spellingShingle | Kubica Adam A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes Equations Demonstratio Mathematica Navier-Stokes equations axial symmetry regularity criteria weighted spaces |
| title | A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes Equations |
| title_full | A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes Equations |
| title_fullStr | A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes Equations |
| title_full_unstemmed | A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes Equations |
| title_short | A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes Equations |
| title_sort | regularity criterion for positive part of radial component in the case of axially symmetric navier stokes equations |
| topic | Navier-Stokes equations axial symmetry regularity criteria weighted spaces |
| url | http://www.degruyter.com/view/j/dema.2015.48.issue-1/dema-2015-0006/dema-2015-0006.xml?format=INT |
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