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author:

Jiang, F. (Jiang, F..) [1] | Jiang, S. (Jiang, S..) [2] | Wang, D. (Wang, D..) [3]

Indexed by:

Scopus

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 Ω⊂RN, 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 d0 to overcome the difficulties induced by the supercritical nonlinearity |∇;d|2d 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. © 2013 Elsevier Inc.

Keyword:

Compressible flows; Liquid crystals; Weak convergence arguments; Weak solutions

Community:

  • [ 1 ] [Jiang, F.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China
  • [ 2 ] [Jiang, S.]Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • [ 3 ] [Wang, D.]Department of Mathematics, University of Pittsburgh, Pittsburgh PA 15260, United States

Reprint 's Address:

  • [Jiang, F.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China

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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

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 70

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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