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

Jishan Fan | Zendy; Tohru Ozawa | Zendy

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

Author(s) -

Jishan Fan,

Tohru Ozawa

Publication year - 2013

Publication title -

international journal of analysis

Language(s) - English

Resource type - Journals

eISSN - 2314-4998

pISSN - 2314-498X

DOI - 10.1155/2013/718173

Subject(s) - liquid crystal , tensor (intrinsic definition) , mathematics , flow (mathematics) , navier–stokes equations , mathematical analysis , pure mathematics , physics , mechanics , geometry , condensed matter physics , compressibility

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

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