Existence of strong solutions for the compressible Ericksen-Leslie model

Details Existence of strong solutions for the compressible Ericksen-Leslie model Existence of strong solutions for the compressible Ericksen-Leslie model

2011-06-30

arxiv.org/abs/1106.6140v1

Mathematics

Functional Analysis

Scientific paper

In this paper, we prove the existence and uniqueness of local strong
solutions of the hydrodynamics of nematic liquid crystals system under the
initial data satisfying a natural compatibility condition. Also the global
strong solutions of the system with small initial data are obtained.

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