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research article
Existence and Uniqueness Theorems for the Two-Dimensional Ericksen-Leslie System
In this paper we study the two dimensional Ericksen-Leslie equations for the nematodynamics of liquid crystals if the moment of inertia of the molecules does not vanish. We prove short time existence and uniqueness of strong solutions for the initial value problem in two situations: the space-periodic problem and the case of a bounded domain with spatial Dirichlet boundary conditions on the Eulerian velocity and the cross product of the director field with its time derivative. We also show that the speed of propagation of the director field is finite and give an upper bound for it.
Type
research article
Web of Science ID
WOS:000382136200007
Authors
Publication date
2016
Publisher
Published in
Volume
18
Issue
3
Start page
571
End page
589
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
October 18, 2016
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