Abstract
Dynamics of concentrated polymer solutions are modelled by a Smoluchowski equation. At high concentrations, such solutions form liquid crystalline polymers of nematic structure. We prove that at high intensities the two-dimensional Smoluchowski equation possesses exactly two steady states, corresponding to the isotropic and the nematic phases.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 441-443 |
| Number of pages | 3 |
| Journal | Nonlinearity |
| Volume | 18 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2005 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics