On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in R-2

abstract

• This paper concerns the uniqueness of weak solutions to the Cauchy problem to the EricksenLeslie system of liquid crystal models in [Formula: see text], with both general Leslie stress tensors and general OseenFrank density. It is shown here that such a system admits a unique weak solution provided that the Frank coefficients are close to some positive constant. One of the main ideas of our proof is to perform suitable energy estimates at the level one order lower than the natural basic energy estimates for the EricksenLeslie system.

authors

• Titi, Edriss

published proceedings

• MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

author list (cited authors)

• Li, J., Titi, E. S., & Xin, Z.

citation count

• 24

complete list of authors

• Li, Jinkai||Titi, Edriss S||Xin, Zhouping

publication date

• April 2016

publisher

• World Scientific Publishing  Publisher

published in

• Mathematical Models and Methods in Applied Sciences  Journal

keywords

• Ericksen-leslie System
• Liquid Crystals
• Uniqueness
• Weak Solutions

Digital Object Identifier (DOI)

• 10.1142/S0218202516500184

start page

• 803

end page

• 822

volume

• 26

issue

• 4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1142%2Fs0218202516500184