Interior regularity criterion for incompressible Ericksen-Leslie system

An interior regularity criterion of suitable weak solutions is formulated for the Ericksen-Leslie system of liquid crystals. Such a criterion is point-wise, with respect to some appropriate norm of velocity u and the gradient of d , and it can be viewed as a sort of simply sufficient condition on th...

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Veröffentlicht in:	Boundary value problems 2017-04, Vol.2017 (1), p.1-7, Article 62
Hauptverfasser:	Ma, Wenya, Feng, Jiqiang
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Approximations and Expansions Boundary value problems Computational fluid dynamics Criteria Difference and Functional Equations interior regularity liquid crystal Liquid crystals Mathematical analysis Mathematics Mathematics and Statistics Norms Ordinary Differential Equations Partial Differential Equations Regularity suitable weak solution
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Beschreibung
Zusammenfassung:	An interior regularity criterion of suitable weak solutions is formulated for the Ericksen-Leslie system of liquid crystals. Such a criterion is point-wise, with respect to some appropriate norm of velocity u and the gradient of d , and it can be viewed as a sort of simply sufficient condition on the local regularity of suitable weak solutions.
ISSN:	1687-2770 1687-2762 1687-2770
DOI:	10.1186/s13661-017-0792-y