• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
成果搜索

author:

Jiang, Fei (Jiang, Fei.) [1] (Scholars:江飞) | Jiang, Song (Jiang, Song.) [2] | Wang, Dehua (Wang, Dehua.) [3]

Indexed by:

Scopus SCIE

Abstract:

We study the global existence of weak solutions to a multi-dimensional simplified Ericksen-Leslie system for compressible flows of nematic liquid crystals with large initial energy in a bounded domain Omega subset of R-N, where N = 2 or 3. By exploiting a maximum principle, Nirenberg's interpolation inequality and a smallness condition imposed on the N-th component of initial direction field d(0) to overcome the difficulties induced by the supercritical nonlinearity vertical bar del d vertical bar(2)d in the equations of angular momentum, and then adapting a modified three-dimensional approximation scheme and the weak convergence arguments for the compressible Navier-Stokes equations, we establish the global existence of weak solutions to the initial-boundary problem with large initial energy and without any smallness condition on the initial density and velocity. (C) 2013 Elsevier Inc. All rights reserved.

Keyword:

Compressible flows Liquid crystals Weak convergence arguments Weak solutions

Community:

  • [ 1 ] [Jiang, Fei]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Peoples R China
  • [ 2 ] [Jiang, Song]Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
  • [ 3 ] [Wang, Dehua]Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

Reprint 's Address:

  • 江飞

    [Jiang, Fei]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Peoples R China

Show more details

Related Keywords:

Source :

JOURNAL OF FUNCTIONAL ANALYSIS

ISSN: 0022-1236

Year: 2013

Issue: 12

Volume: 265

Page: 3369-3397

1 . 1 5 2

JCR@2013

1 . 7 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 77

SCOPUS Cited Count: 75

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

Online/Total:309/9997117
Address:FZU Library(No.2 Xuyuan Road, Fuzhou, Fujian, PRC Post Code:350116) Contact Us:0591-22865326
Copyright:FZU Library Technical Support:Beijing Aegean Software Co., Ltd. 闽ICP备05005463号-1