Regularity of the solutions to the liquid crystal equations with small rough data期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Regularity of the solutions to the liquid crystal equations with small rough data

Authors:	Yi Du Keyan Wang

Affiliation:	1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;2. Department of Applied Mathematics, Shanghai Finance University, Shanghai 201209, China;3. School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Abstract:	In [30], the author has proved the existence of Koch–Tataru [12] type solution to the incompressible nematic liquid crystal flow with initial data (_u₀,_d₀) $(u_{0}, d_{0})$ in BMO⁻¹×BMO ${BMO}^{- 1} \times BMO$ . In this paper, we shall present that the solution in [30] has arbitrary spatial regularity. Furthermore, we shall give the decay estimates for any space derivative.

Keywords:	Regularity Liquid crystal Koch&ndash Tataru solution Small rough data
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