Abstract
We construct a continuous semigroup of weak, dissipative solutions to a nonlinear partial differential equation modeling nematic liquid crystals. A new distance functional, determined by a problem of optimal transportation, yields sharp estimates on the continuity of solutions with respect to the initial data.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 996-1026 |
| Number of pages | 31 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 37 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2006 |
All Science Journal Classification (ASJC) codes
- Analysis
- Computational Mathematics
- Applied Mathematics