The topological degree method for equations of the Navier-Stokes type
We obtain results of existence of weak solutions in the Hopf sense of the initial-boundary value problem for the generalized Navier-Stokes equations containing perturbations of retarded type. The degree theory for maps A−g, where A is invertible and g is 𝒜-condensing, is used.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | Abstract and Applied Analysis |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1085337597000250 |
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| _version_ | 1832554827164418048 |
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| author | V. T. Dmitrienko V. G. Zvyagin |
| author_facet | V. T. Dmitrienko V. G. Zvyagin |
| author_sort | V. T. Dmitrienko |
| collection | DOAJ |
| description | We obtain results of existence of weak solutions in the Hopf sense
of the initial-boundary value problem for the generalized Navier-Stokes equations containing perturbations of retarded type. The degree theory for maps A−g, where A is invertible and g is 𝒜-condensing, is used. |
| format | Article |
| id | doaj-art-2e9364b52c2449f385526abaa7fa68f1 |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2e9364b52c2449f385526abaa7fa68f12025-02-03T05:50:20ZengWileyAbstract and Applied Analysis1085-33751997-01-0121-214510.1155/S1085337597000250The topological degree method for equations of the Navier-Stokes typeV. T. Dmitrienko0V. G. Zvyagin1Mathematics Department, Voronezh State University, Universitetskaya Pl. 1, Voronezh 394693, RussiaMathematics Department, Voronezh State University, Universitetskaya Pl. 1, Voronezh 394693, RussiaWe obtain results of existence of weak solutions in the Hopf sense of the initial-boundary value problem for the generalized Navier-Stokes equations containing perturbations of retarded type. The degree theory for maps A−g, where A is invertible and g is 𝒜-condensing, is used.http://dx.doi.org/10.1155/S1085337597000250Weak solutionsNavier-Stokes equationsa priori estimates degree theory𝒜-condensing perturbations. |
| spellingShingle | V. T. Dmitrienko V. G. Zvyagin The topological degree method for equations of the Navier-Stokes type Abstract and Applied Analysis Weak solutions Navier-Stokes equations a priori estimates degree theory 𝒜-condensing perturbations. |
| title | The topological degree method for equations of the Navier-Stokes type |
| title_full | The topological degree method for equations of the Navier-Stokes type |
| title_fullStr | The topological degree method for equations of the Navier-Stokes type |
| title_full_unstemmed | The topological degree method for equations of the Navier-Stokes type |
| title_short | The topological degree method for equations of the Navier-Stokes type |
| title_sort | topological degree method for equations of the navier stokes type |
| topic | Weak solutions Navier-Stokes equations a priori estimates degree theory 𝒜-condensing perturbations. |
| url | http://dx.doi.org/10.1155/S1085337597000250 |
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