Abstract
This paper is devoted to the full system of incompressible liquid crystals, as modeled in the Q-tensor framework. The main purpose is to establish the uniqueness of weak solutions in a two-dimensional setting, without imposing an extra regularity on the solutions themselves. This result only requires the initial data to fulfill the features which allow the existence of a weak solution. Thus, we also revisit the global existence result in dimensions two and three.
Original language | English (US) |
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Pages (from-to) | 2127-2178 |
Number of pages | 52 |
Journal | Communications in Mathematical Sciences |
Volume | 14 |
Issue number | 8 |
DOIs | |
State | Published - 2016 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics