Journal article icon

Journal article

Well-posedness of the full Ericksen-Leslie model of nematic liquid crystals

Abstract:

The Ericksen-Leslie model of nematic liquid crystals is a coupled system between the Navier-Stokes and the Ginzburg-Landau equations. We show here the local well-posedness for this problem for any initial data regular enough, by a fixed point approach relying on some weak continuity properties in a suitable functional setting. By showing the existence of an appropriate local Lyapunov functional, we also give sufficient conditions for the global existence of the solution, and some stability co...

Expand abstract

Actions


Access Document


Journal:
Comptes Rendus de l'Academie des Sciences - Series I: Mathematics More from this journal
Volume:
333
Issue:
10
Pages:
919-924
Publication date:
2001-11-01
DOI:
ISSN:
0764-4442
Language:
French
Pubs id:
pubs:404785
UUID:
uuid:fc9919a8-72da-4e59-93a5-9b7ba4ccd376
Local pid:
pubs:404785
Source identifiers:
404785
Deposit date:
2013-11-16

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP