Global Weak Solutions for the Compressible Active Liquid Crystal System

Apala Majumdar

Research output: Contribution to journalArticlepeer-review

52 Downloads (Pure)

Abstract

We study the hydrodynamics of compressible flows of active liquid crystals in the Beris--Edwards hydrodynamics framework, using the Landau--de Gennes $Q$-tensor order parameter to describe liquid crystalline ordering. We prove the existence of global weak solutions for this active system in three space dimensions by the three-level approximations and weak convergence argument. New techniques and estimates are developed to overcome the difficulties caused by the active terms.
Original languageEnglish
Pages (from-to)3632–3675
JournalSIAM Journal on Mathematical Analysis (SIMA)
Volume50
Issue number4
Early online date10 Jul 2018
DOIs
Publication statusPublished - 2018

Fingerprint Dive into the research topics of 'Global Weak Solutions for the Compressible Active Liquid Crystal System'. Together they form a unique fingerprint.

Cite this