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

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...

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Bibliographic Details
Main Authors: Coutand, D, Shkoller, S
Format: Journal article
Language:French
Published: 2001