A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum

• Autorzy: Zujin Zhang , Xian Yang
• Języki publikacji: EN

Abstrakty

EN

We consider the Cauchy problem for the 3D density-dependent incompressible flow of liquid crystals with vacuum, and provide a regularity criterion in terms of u and ∇d in the Besov spaces of negative order. This improves a recent result of Fan-Li [Comm. Math. Sci. 12 (2014), 1185-1197].

Kategorie tematyczne

• 82D30: Random media, disordered materials (including liquid crystals and spin glasses)
• 35Q35: PDEs in connection with fluid mechanics
• 35B65: Smoothness and regularity of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 115
• Numer: 2
• Strony: 165-177

Daty

wydano

2015

Twórcy

autor

Zujin Zhang

• School of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, Jiangxi, P.R. China

autor

Xian Yang

• Foreign Language Department, Ganzhou Teachers College, Ganzhou 341000, Jiangxi, P.R. China

Identyfikatory

DOI

10.4064/ap115-2-4