Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one
type: Item
instance of: scholarly article
title: Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one
zbMATH Open document ID: 1217.35099
author: Shijin Ding
author: Changyou Wang
author: Huanyao Wen
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2011-04-05T00:00:00Z
review text: The authors consider the equation modeling the compressible hydrodynamic flow of liquid crystals in one dimension. One establishes the existence of a weak solution \((\rho,u,n)\) of such a system when the initial density function \(0\leq\rho_0\in L^\gamma\) for \(\gamma>1\), \(u_0\in L^2\) and \(n_0\in H^1\). This extends a previous result of the authors, where the existence of a weak solution was obtained under the stronger assumption that the initial density function \(0<c\leq \rho_0\in H^1\), \(u_0\in L^2\) and \(n_0\in H^1\).
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76A15
zbMATH DE Number: 5874677
zbMATH Keywords: nematic liquid crystals
MaRDI profile type: Publication
full work available at URL: dcdsb.2011.15.357
OpenAlex ID: W1963909641
DOI: 10.3934/DCDSB.2011.15.357
description: scientific article