Uniqueness of weak solutions of the full coupled Navier-Stokes and Q-tensor system in 2D

Francesco de Anna, Arghir Zarnescu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

This paper is devoted to the full system of incompressible liquid crystals, as modeled in the Q-tensor framework. The main purpose is to establish the uniqueness of weak solutions in a two-dimensional setting, without imposing an extra regularity on the solutions themselves. This result only requires the initial data to fulfill the features which allow the existence of a weak solution. Thus, we also revisit the global existence result in dimensions two and three.

Original languageEnglish (US)
Pages (from-to)2127-2178
Number of pages52
JournalCommunications in Mathematical Sciences
Volume14
Issue number8
DOIs
StatePublished - 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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