Scaling invariant blow-up criteria for simplified versions of Ericksen-Leslie system

Jihoon Lee

doi:10.3934/dcdss.2015.8.381

Article Contents

2015, Volume 8, Issue 2: 381-388. Doi: 10.3934/dcdss.2015.8.381

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Scaling invariant blow-up criteria for simplified versions of Ericksen-Leslie system

Jihoon Lee^1,

1.
Department of Mathematics, Chung-Ang University, Seoul 156-756

Received: December 2012

Revised: November 2013

Published: April 2015

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Abstract

In this paper, we establish scaling invariant blow-up criteria for a classical solution to simplified version of two and three dimensional Ericksen-Leslie system. We also consider the model replacing the Navier-Stokes equations by Stokes equations in the system and obtain blow-up criterion in three dimensions.

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Mathematics Subject Classification: Primary: 35B44, 35D30; Secondary: 76A15.

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