Abstract
We consider an evolution system, describing the time-dependent behavior of nematic liquid crystals with variable degree of orientation within the continuum model of Ericksen. We establish a dissipation relation and prove both the global existence of weak solutions and the local existence of classical solutions. Furthermore, we investigate the stability and long-time behavior of solutions and obtain an exact solution of the corresponding stationary system in a one-dimensional case.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1033-1047 |
| Number of pages | 15 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 33 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2002 |
Keywords
- Free energy functional
- Nematic liquid crystals
- Reaction-diffusion mechanism
- Weak solutions