On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in R N

On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in R N

We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional whole space. We prove the global well-posedness of strong solutions for small initial data by combining the maximal L p - L q regularities and L p - L q decay properties of solutions for the Stokes equations...

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Bibliographic Details
Published in:Journal of evolution equations Vol. 17; no. 1; pp. 537 - 550
Main Authors: Schonbek, Maria, Shibata, Yoshihiro
Format: Journal Article
Language:English
Published: Heidelberg Springer Nature B.V 01-03-2017
Subjects:
Nematic crystals
Online Access:Get full text
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Summary:We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional whole space. We prove the global well-posedness of strong solutions for small initial data by combining the maximal L p - L q regularities and L p - L q decay properties of solutions for the Stokes equations and heat equations. As a result, we also proved the decay properties of the solutions to the nonlinear equations.
ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-016-0358-y