Global existence of solutions of the simplified Ericksen-Leslie system in dimension two

Hong, Min-Chun (2011) Global existence of solutions of the simplified Ericksen-Leslie system in dimension two. Calculus of Variations And Partial Differential Equations, 40 1-2: 15-36. doi:10.1007/s00526-010-0331-5

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Author Hong, Min-Chun
Title Global existence of solutions of the simplified Ericksen-Leslie system in dimension two
Journal name Calculus of Variations And Partial Differential Equations   Check publisher's open access policy
ISSN 0944-2669
1432-0835
Publication date 2011-01
Year available 2010
Sub-type Article (original research)
DOI 10.1007/s00526-010-0331-5
Open Access Status
Volume 40
Issue 1-2
Start page 15
End page 36
Total pages 22
Editor A. Malchiodi
G. Huisken
L. Ambrosio
Place of publication Berlin, Germany
Publisher Springer-Verlag
Collection year 2011
Language eng
Formatted abstract
In the 1960s, Ericksen and Leslie established the hydrodynamic theory for modelling liquid crystal flow. In this paper, we investigate a simplified model of the Ericksen-Leslie system, which is a system of the Navier-Stokes equations coupled with the harmonic map flow. We prove global existence of solutions to the Ericksen-Leslie system in ℝ with initial data, where the solutions are regular except for at a finite number of singular times.
© 2010 Springer-Verlag.
Keyword Navier-Stokes equations
Partial regularity
Harmonic-mappings
Liquid-crystals
Flow
Surfaces
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Published online: 27 April 2010

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2011 Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 56 times in Thomson Reuters Web of Science Article | Citations
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Created: Sun, 02 Jan 2011, 00:18:22 EST