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...
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| Format: | Journal article |
| Sprog: | French |
| Udgivet: |
2001
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| Summary: | 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. |
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