A global 2D well-posedness result on the order tensor liquid crystal theory

Francesco De Anna

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

In [18] Paicu and Zarnescu have studied an order tensor system which describes the flow of a liquid crystal. They have proven the existence of weak solutions, the propagation of higher regularity, namely Hs with s>1 and the weak-strong uniqueness in dimension two. This paper is devoted to fill the gap of their results, namely to propagate the low regularity, namely Hs for 0<s<1 and to prove the uniqueness of the weak solutions. For the completeness of this research, we also propose an alternative approach in order to prove the existence of weak solutions.

Original languageEnglish (US)
Pages (from-to)3932-3979
Number of pages48
JournalJournal of Differential Equations
Volume262
Issue number7
DOIs
StatePublished - Apr 5 2017

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A global 2D well-posedness result on the order tensor liquid crystal theory'. Together they form a unique fingerprint.

  • Cite this