Abstract
This paper concerns the dynamical properties of topological defects in two dimensional flows of liquid crystals modeled by the Ginzburg-Landau approximations. The fluid is transported by a nonlocal (an averaged) velocity and is coupled with effects of the elastic stress. The defects move along the trajectories of the flow associated with this averaged velocity, that is, dtd aj(t) = u(aj(t), t).
Original language | English (US) |
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Pages (from-to) | 1695-1717 |
Number of pages | 23 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 54 |
Issue number | 2 |
DOIs | |
State | Published - 2022 |
Keywords
- Averaged velocity
- Dynamical properties
- Ginzburg-Landau vortices
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics