Global existence of strong solutions for a general incompressible Oldroyd-B system without damping mechanism

2021 ◽  
pp. 107850
Author(s):  
Limei Zhu ◽  
Jinrui Huang
Keyword(s):  
Global Existence ◽  
Strong Solutions

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 Solution Theory of Ginzburg-Landau Theory on BCS-BEC Crossover

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Shuhong Chen ◽  
Zhong Tan
Keyword(s):  
Global Existence ◽  
Strong Solution ◽  
Sobolev Spaces ◽  
Landau Theory ◽  
Strong Solutions ◽  
Time Dependent ◽  
Solution Theory ◽  
Ginzburg Landau ◽  
Spatial Dimensions

We establish strong solution theory of time-dependent Ginzburg-Landau (TDGL) systems on BCS-BEC crossover. By the properties of Besov, Sobolev spaces, and Fourier functions and the method of bootstrapping argument, we deduce that the global existence of strong solutions to time-dependent Ginzburg-Landau systems on BCS-BEC crossover in various spatial dimensions.

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