scholarly journals Long-Time Behavior for a Hydrodynamic Model on Nematic Liquid Crystal Flows with Asymptotic Stabilizing Boundary Condition and External Force

2013 ◽  
Vol 45 (3) ◽  
pp. 965-1002 ◽  
Author(s):  
Maurizio Grasselli ◽  
Hao Wu
Keyword(s):  
Boundary Condition ◽  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
External Force ◽  
Hydrodynamic Model ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Long Time ◽  
Nematic Liquid Crystal Flows

ANALYSIS OF A GENERALIZED LANGEVIN EQUATION WITH FRACTIONAL DERIVATIVE, NONLOCAL DISSIPATIVE FORCE AND LINEAR EXTERNAL FORCE

2008 ◽  
Vol 08 (03n04) ◽  
pp. L381-L391 ◽  
Author(s):  
KWOK SAU FA
Keyword(s):  
Fractional Derivative ◽  
External Force ◽  
Langevin Equation ◽  
Relaxation Function ◽  
Dissipative Force ◽  
Generalized Langevin Equation ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Memory Kernel ◽  
Long Time

We analyze the motion of a particle governed by a generalized Langevin equation with fractional derivative, nonlocal dissipative force and linear external force. We consider the dissipative memory kernel given by the exponential and power-law functions. For these cases, one can obtain exact results for the relaxation function. The long-time behavior of this function is also investigated. Our results show that the inertial term has no significant influence on the long-time behavior.

Sign in / Sign up

Export Citation Format

Share Document