Well-posedness of the full Ericksen-Leslie model of nematic liquid crystals
The Ericksen-Leslie model of nematic liquid crystals is a coupled system between the Navier-Stokes and the Ginzburg-Landau equations. We show here the local well-posedness for this problem for any initial data regular enough, by a fixed point approach relying on some weak continuity properties in a...
| Main Authors: | , |
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| 格式: | Journal article |
| 語言: | French |
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2001
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| _version_ | 1826306646413934592 |
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| author | Coutand, D Shkoller, S |
| author_facet | Coutand, D Shkoller, S |
| author_sort | Coutand, D |
| collection | OXFORD |
| description | The Ericksen-Leslie model of nematic liquid crystals is a coupled system between the Navier-Stokes and the Ginzburg-Landau equations. We show here the local well-posedness for this problem for any initial data regular enough, by a fixed point approach relying on some weak continuity properties in a suitable functional setting. By showing the existence of an appropriate local Lyapunov functional, we also give sufficient conditions for the global existence of the solution, and some stability conditions. © 2001 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. |
| first_indexed | 2024-03-07T06:51:07Z |
| format | Journal article |
| id | oxford-uuid:fc9919a8-72da-4e59-93a5-9b7ba4ccd376 |
| institution | University of Oxford |
| language | French |
| last_indexed | 2024-03-07T06:51:07Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:fc9919a8-72da-4e59-93a5-9b7ba4ccd3762022-03-27T13:22:00ZWell-posedness of the full Ericksen-Leslie model of nematic liquid crystalsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fc9919a8-72da-4e59-93a5-9b7ba4ccd376FrenchSymplectic Elements at Oxford2001Coutand, DShkoller, SThe Ericksen-Leslie model of nematic liquid crystals is a coupled system between the Navier-Stokes and the Ginzburg-Landau equations. We show here the local well-posedness for this problem for any initial data regular enough, by a fixed point approach relying on some weak continuity properties in a suitable functional setting. By showing the existence of an appropriate local Lyapunov functional, we also give sufficient conditions for the global existence of the solution, and some stability conditions. © 2001 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. |
| spellingShingle | Coutand, D Shkoller, S Well-posedness of the full Ericksen-Leslie model of nematic liquid crystals |
| title | Well-posedness of the full Ericksen-Leslie model of nematic liquid crystals |
| title_full | Well-posedness of the full Ericksen-Leslie model of nematic liquid crystals |
| title_fullStr | Well-posedness of the full Ericksen-Leslie model of nematic liquid crystals |
| title_full_unstemmed | Well-posedness of the full Ericksen-Leslie model of nematic liquid crystals |
| title_short | Well-posedness of the full Ericksen-Leslie model of nematic liquid crystals |
| title_sort | well posedness of the full ericksen leslie model of nematic liquid crystals |
| work_keys_str_mv | AT coutandd wellposednessofthefullericksenlesliemodelofnematicliquidcrystals AT shkollers wellposednessofthefullericksenlesliemodelofnematicliquidcrystals |