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Well-posedness of the full Ericksen–Leslie model of nematic liquid crystals
| Content Provider | Semantic Scholar |
|---|---|
| Author | Coutand, Daniel Shkoller, Steve |
| Copyright Year | 2001 |
| Abstract | Abstract 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. |
| Starting Page | 919 |
| Ending Page | 924 |
| Page Count | 6 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/S0764-4442(01)02161-9 |
| Volume Number | 333 |
| Alternate Webpage(s) | https://www.math.ucdavis.edu/~shkoller/full_liquid.pdf |
| Alternate Webpage(s) | http://www.math.ucdavis.edu/~shkoller/full_liquid.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/S0764-4442%2801%2902161-9 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
