Regularity Criteria for a Coupled Navier-Stokes and Q -Tensor System

Jishan Fan and Tohru Ozawa

International Journal of Analysis, 2013, vol. 2013, 1-5

Abstract:

We study a system describing the evolution of a nematic liquid crystal flow. The system couples a forced Navier-Stokes system describing the flow with a parabolic-type system describing the evolution of the nematic crystal director fields ( Q -tensors). We prove some regularity criteria for the local strong solutions. However, we do not provide estimates on the rates of increase of high norms.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:718173

DOI: 10.1155/2013/718173

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