Decay of Strong Solutions for 4D Navier-Stokes Equations Posed on Lipschitz Domains
Initial-boundary value problems for 4D Navier-Stokes equations posed on bounded and unbounded 4D parallelepipeds were considered. The existence and uniqueness of regular global solutions on bounded parallelepipeds and their exponential decay as well as the existence, uniqueness, and exponential deca...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/5807385 |
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| author | N. A. Larkin |
| author_facet | N. A. Larkin |
| author_sort | N. A. Larkin |
| collection | DOAJ |
| description | Initial-boundary value problems for 4D Navier-Stokes equations posed on bounded and unbounded 4D parallelepipeds were considered. The existence and uniqueness of regular global solutions on bounded parallelepipeds and their exponential decay as well as the existence, uniqueness, and exponential decay of strong solutions on an unbounded parallelepiped have been established provided that initial data and domains satisfy some special conditions. |
| format | Article |
| id | doaj-art-c57f6eb9e81f47e3b017cb9e17494b13 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-c57f6eb9e81f47e3b017cb9e17494b132025-08-20T02:18:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/58073855807385Decay of Strong Solutions for 4D Navier-Stokes Equations Posed on Lipschitz DomainsN. A. Larkin0Departamento de Matemática, Universidade Estadual de Maringá, Av. Colombo 5790, Agência UEM, 87020-900, Maringá, PR, BrazilInitial-boundary value problems for 4D Navier-Stokes equations posed on bounded and unbounded 4D parallelepipeds were considered. The existence and uniqueness of regular global solutions on bounded parallelepipeds and their exponential decay as well as the existence, uniqueness, and exponential decay of strong solutions on an unbounded parallelepiped have been established provided that initial data and domains satisfy some special conditions.http://dx.doi.org/10.1155/2018/5807385 |
| spellingShingle | N. A. Larkin Decay of Strong Solutions for 4D Navier-Stokes Equations Posed on Lipschitz Domains Advances in Mathematical Physics |
| title | Decay of Strong Solutions for 4D Navier-Stokes Equations Posed on Lipschitz Domains |
| title_full | Decay of Strong Solutions for 4D Navier-Stokes Equations Posed on Lipschitz Domains |
| title_fullStr | Decay of Strong Solutions for 4D Navier-Stokes Equations Posed on Lipschitz Domains |
| title_full_unstemmed | Decay of Strong Solutions for 4D Navier-Stokes Equations Posed on Lipschitz Domains |
| title_short | Decay of Strong Solutions for 4D Navier-Stokes Equations Posed on Lipschitz Domains |
| title_sort | decay of strong solutions for 4d navier stokes equations posed on lipschitz domains |
| url | http://dx.doi.org/10.1155/2018/5807385 |
| work_keys_str_mv | AT nalarkin decayofstrongsolutionsfor4dnavierstokesequationsposedonlipschitzdomains |