scholarly journals The Cauchy problem for the liquid crystals system in the critical Besov space with negative index

2017 ◽  
Vol 67 (1) ◽  
pp. 37-55
Author(s):  
Sen Ming ◽  
Han Yang ◽  
Zili Chen ◽  
Ls Yong
Keyword(s):  
Cauchy Problem ◽  
Liquid Crystals ◽  
Besov Space ◽  
Negative Index ◽  
Critical Besov Space ◽  
The Cauchy Problem

scholarly journals The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space

2020 ◽  
Vol 269 (2) ◽  
pp. 1117-1171
Author(s):  
Hong-Mei Cao ◽  
Hao-Guang Li ◽  
Chao-Jiang Xu ◽  
Jiang Xu
Keyword(s):  
Cauchy Problem ◽  
Besov Space ◽  
Critical Besov Space ◽  
The Cauchy Problem ◽  
Kac Equation

scholarly journals The Cauchy problem for the generalized Camassa–Holm equation in Besov space

2014 ◽  
Vol 256 (8) ◽  
pp. 2876-2901 ◽  
Author(s):  
Wei Yan ◽  
Yongsheng Li ◽  
Yimin Zhang
Keyword(s):  
Cauchy Problem ◽  
Besov Space ◽  
Holm Equation ◽  
The Cauchy Problem

scholarly journals Global existence of strong solutions for incompressible hydrodynamic flow of liquid crystals with vacuum

Filomat ◽  
2013 ◽  
Vol 27 (7) ◽  
pp. 1247-1257 ◽  
Author(s):  
Shijin Ding ◽  
Jinrui Huang ◽  
Fengguang Xia
Keyword(s):  
Cauchy Problem ◽  
Liquid Crystals ◽  
Global Existence ◽  
Existence And Uniqueness ◽  
Strong Solutions ◽  
Hydrodynamic Flow ◽  
Three Dimensions ◽  
Small Initial Data ◽  
The Cauchy Problem ◽  
Global Existence And Uniqueness

We consider the Cauchy problem for incompressible hydrodynamic flow of nematic liquid crystals in three dimensions. We prove the global existence and uniqueness of the strong solutions with nonnegative p0 and small initial data.

scholarly journals Well-posedness of Cauchy problem for Landau equation in critical Besov space

2019 ◽  
Vol 12 (4) ◽  
pp. 829-884
Author(s):  
Hongmei Cao ◽  
◽  
Hao-Guang Li ◽  
Chao-Jiang Xu ◽  
Jiang Xu ◽  
...  
Keyword(s):  
Cauchy Problem ◽  
Besov Space ◽  
Landau Equation ◽  
Well Posedness ◽  
Critical Besov Space
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