Global existence of weak solution for the 2-D Ericksen–Leslie system

We prove the global existence of weak solution for two dimensional Ericksen–Leslie system with the Leslie stress and general Ericksen stress under the physical constrains on the Leslie coefficients. We also prove the local well-posedness of the Ericksen–Leslie system in two and three spatial dimensi...

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Bibliographic Details
Published inCalculus of variations and partial differential equations Vol. 51; no. 3-4; pp. 915 - 962
Main Authors Wang, Meng, Wang, Wendong
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2014
Springer Nature B.V
Subjects
Analysis
Calculus
Calculus of variations
Calculus of Variations and Optimal Control; Optimization
Control
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Partial differential equations
Stresses
Systems Theory
Theoretical
Two dimensional
76D03
35Q35
76A15
35A01
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Summary:We prove the global existence of weak solution for two dimensional Ericksen–Leslie system with the Leslie stress and general Ericksen stress under the physical constrains on the Leslie coefficients. We also prove the local well-posedness of the Ericksen–Leslie system in two and three spatial dimensions.
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ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-013-0700-y