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

Journal article

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 conditions. © 2001 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.

Authors: Coutand, D; Shkoller, S

• Journal: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
• Volume: 333
• Issue: 10
• Pages: 919-924
• Publication date: 2001-11-01
• DOI: 10.1016/S0764-4442(01)02161-9
• ISSN: 0764-4442
• Language: French