Nonparabolic dissipative systems modeling the flow of liquid crystals

Fang‐Hua ‐H Lin, Chun Liu

Research output: Contribution to journalArticle

366 Citations (Scopus)

Abstract

We study a simplified system which retains most of the interesting mathematical properties of the original Ericksen‐Leslie equations for the flow of liquid crystals. This is a coupled nonparabolic dissipative dynamic system. We derive several energy laws which enable us to prove the global existence of the weak solutions and the classical solutions. We also discuss uniqueness and some stability properties of the system. ©1995 John Wiley & Sons, Inc.

Original languageEnglish (US)
Pages (from-to)501-537
Number of pages37
JournalCommunications on Pure and Applied Mathematics
Volume48
Issue number5
DOIs
StatePublished - 1995

Fingerprint

Dissipative Systems
System Modeling
Liquid Crystal
Liquid crystals
Flow of fluids
Dynamical systems
Classical Solution
Global Existence
Dynamic Systems
Weak Solution
Uniqueness
Energy

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

@article{a54d21f237f842fbb82e0d9fbaa15a40,
title = "Nonparabolic dissipative systems modeling the flow of liquid crystals",
abstract = "We study a simplified system which retains most of the interesting mathematical properties of the original Ericksen‐Leslie equations for the flow of liquid crystals. This is a coupled nonparabolic dissipative dynamic system. We derive several energy laws which enable us to prove the global existence of the weak solutions and the classical solutions. We also discuss uniqueness and some stability properties of the system. {\circledC}1995 John Wiley & Sons, Inc.",
author = "Lin, {Fang‐Hua ‐H} and Chun Liu",
year = "1995",
doi = "10.1002/cpa.3160480503",
language = "English (US)",
volume = "48",
pages = "501--537",
journal = "Communications on Pure and Applied Mathematics",
issn = "0010-3640",
publisher = "Wiley-Liss Inc.",
number = "5",

}

Nonparabolic dissipative systems modeling the flow of liquid crystals. / Lin, Fang‐Hua ‐H; Liu, Chun.

In: Communications on Pure and Applied Mathematics, Vol. 48, No. 5, 1995, p. 501-537.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Nonparabolic dissipative systems modeling the flow of liquid crystals

AU - Lin, Fang‐Hua ‐H

AU - Liu, Chun

PY - 1995

Y1 - 1995

N2 - We study a simplified system which retains most of the interesting mathematical properties of the original Ericksen‐Leslie equations for the flow of liquid crystals. This is a coupled nonparabolic dissipative dynamic system. We derive several energy laws which enable us to prove the global existence of the weak solutions and the classical solutions. We also discuss uniqueness and some stability properties of the system. ©1995 John Wiley & Sons, Inc.

AB - We study a simplified system which retains most of the interesting mathematical properties of the original Ericksen‐Leslie equations for the flow of liquid crystals. This is a coupled nonparabolic dissipative dynamic system. We derive several energy laws which enable us to prove the global existence of the weak solutions and the classical solutions. We also discuss uniqueness and some stability properties of the system. ©1995 John Wiley & Sons, Inc.

UR - http://www.scopus.com/inward/record.url?scp=84990679341&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84990679341&partnerID=8YFLogxK

U2 - 10.1002/cpa.3160480503

DO - 10.1002/cpa.3160480503

M3 - Article

AN - SCOPUS:84990679341

VL - 48

SP - 501

EP - 537

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 5

ER -