Hydrodynamic boundary conditions, the Stokes–Einstein law, and long-time tails in the Brownian limit

2003 ◽  
Vol 119 (15) ◽  
pp. 8062-8068 ◽  
Author(s):  
J. R. Schmidt ◽  
J. L. Skinner
Keyword(s):  
Boundary Conditions ◽  
Long Time Tails ◽  
Brownian Limit ◽  
Long Time

The coupled Cahn–Hilliard/Allen–Cahn system with dynamic boundary conditions

2021 ◽  
pp. 1-27
Author(s):  
Ahmad Makki ◽  
Alain Miranville ◽  
Madalina Petcu
Keyword(s):  
Fractal Dimension ◽  
Boundary Conditions ◽  
Well Posedness ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Dynamic Boundary Conditions ◽  
Finite Dimensional ◽  
Dynamic Boundary ◽  
Long Time ◽  
Finite Fractal Dimension

In this article, we are interested in the study of the well-posedness as well as of the long time behavior, in terms of finite-dimensional attractors, of a coupled Allen–Cahn/Cahn–Hilliard system associated with dynamic boundary conditions. In particular, we prove the existence of the global attractor with finite fractal dimension.

Experimental observation of “long time tails”?

1976 ◽  
Vol 55 (7) ◽  
pp. 391-392 ◽  
Author(s):  
J.P. Boon ◽  
A. Bouiller
Keyword(s):  
Experimental Observation ◽  
Long Time Tails ◽  
Long Time
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