Non-isothermal General Ericksen–Leslie System: Derivation, Analysis and Thermodynamic Consistency

Francesco De Anna, Chun Liu

Research output: Contribution to journalArticle

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Abstract

We derive a model describing the evolution of a nematic liquid–crystal material under the action of thermal effects. The first and second laws of thermodynamics lead to an extension of the general Ericksen–Leslie system where the Leslie stress tensor and the Oseen–Frank energy density are considered in their general forms. The work postulate proposed by Ericksen–Leslie is traduced in terms of entropy production.We finally analyze the global-in-time well-posedness of the system for small initial data in the framework of Besov spaces.

Original languageEnglish (US)
Pages (from-to)637-717
Number of pages81
JournalArchive for Rational Mechanics and Analysis
Volume231
Issue number2
DOIs
StatePublished - Feb 7 2019

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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