A blow‐up criterion for incompressible hydrodynamic flow of liquid crystals in dimension two

Huang, Bingyuan; Huang, Jinrui

doi:10.1002/mma.2897

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“…More recently, the similar results have been obtained by Huang-Huang [15] for incompressible case and by Gao-Tao-Yao [16] for compressible case in a bounded domain of dimension two, respectively. First, we explain the conventions and notations used in what follows.…”

Section: Introductionsupporting

confidence: 78%

A regularity condition of strong solutions to the two‐dimensional equations of compressible nematic liquid crystal flows

Wang

2016

Math Methods in App Sciences

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This paper is concerned with the short time strong solutions for Cauchy problem to a simplified Ericksen–Leslie system of compressible nematic liquid crystals in two dimensions with vacuum as far field density. We establish a blow‐up criterion for possible breakdown of such solutions at a finite time, which is analogous to the well‐known Serrin's blow‐up criterion for the incompressible Navier–Stokes equations. Copyright © 2016 John Wiley & Sons, Ltd.

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Section: Introductionsupporting

confidence: 78%

A regularity condition of strong solutions to the two‐dimensional equations of compressible nematic liquid crystal flows

Wang

2016

Math Methods in App Sciences

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Blow up criteria for three-dimensional incompressible Navier-Stokes-Landau-Lifshitz system in the whole space

Qiu,

Wang

2024

Journal of Mathematical Analysis and Applications

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A blow‐up criterion for incompressible hydrodynamic flow of liquid crystals in dimension two

Abstract: In the paper, we establish a Serrin type criterion for strong solutions to a simplified density‐dependent Ericksen‐ Leslie system modeling incompressible, nematic liquid crystal materials in dimension two. Copyright © 2013 John Wiley & Sons, Ltd.

Cited by 2 publications

References 26 publications

A regularity condition of strong solutions to the two‐dimensional equations of compressible nematic liquid crystal flows

A regularity condition of strong solutions to the two‐dimensional equations of compressible nematic liquid crystal flows

Blow up criteria for three-dimensional incompressible Navier-Stokes-Landau-Lifshitz system in the whole space

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