scholarly journals A  horizontal  hyper-diffusion three-dimensional thermocline planetary geostrophic model: well-posedness and long-time behaviour

Nonlinearity ◽  
2004 ◽  
Vol 17 (5) ◽  
pp. 1749-1776 ◽  
Author(s):  
Chongsheng Cao ◽  
Edriss S Titi ◽  
Mohammed Ziane
Keyword(s):  
Three Dimensional ◽  
Well Posedness ◽  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time

Well-posedness and long-time behaviour for a model of contact with adhesion

2007 ◽  
Vol 56 (6) ◽  
pp. 2787-2820 ◽  
Author(s):  
Giovanna Bonfanti ◽  
Riccarda Rossi ◽  
Elena Bonetti
Keyword(s):  
Well Posedness ◽  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time

scholarly journals Weighted Ultrafast Diffusion Equations: From Well-Posedness to Long-Time Behaviour

2018 ◽  
Vol 232 (3) ◽  
pp. 1165-1206 ◽  
Author(s):  
Mikaela Iacobelli ◽  
Francesco S. Patacchini ◽  
Filippo Santambrogio
Keyword(s):  
Diffusion Equations ◽  
Well Posedness ◽  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time

A squeezing property and its applications to a description of long-time behaviour in the three-dimensional viscous primitive equations

2014 ◽  
Vol 144 (4) ◽  
pp. 711-729 ◽  
Author(s):  
Igor Chueshov
Keyword(s):  
Three Dimensional ◽  
Ocean Dynamics ◽  
Primitive Equations ◽  
Time Behaviour ◽  
Time Dynamics ◽  
Squeezing Property ◽  
Long Time Behaviour ◽  
New Information ◽  
Determining Modes ◽  
Long Time

We consider the three-dimensional viscous primitive equations with periodic boundary conditions. These equations arise in the study of ocean dynamics and generate a dynamical system in a Sobolev H1-type space. Our main result establishes the so-called squeezing property in the Ladyzhenskaya form for this system. As a consequence of this property we prove the finiteness of the fractal dimension of the corresponding global attractor, the existence of a finite number of determining modes and the ergodicity of a related random kick model. All these results provide new information concerning the long-time dynamics of oceanic motion.

scholarly journals Long-time behaviour of a thermomechanical model for adhesive contact

2011 ◽  
Vol 4 (2) ◽  
pp. 273-309 ◽  
Author(s):  
Elena Bonetti ◽  
◽  
Giovanna Bonfanti ◽  
Riccarda Rossi ◽  
◽  
...  
Keyword(s):  
Adhesive Contact ◽  
Time Behaviour ◽  
Thermomechanical Model ◽  
Long Time Behaviour ◽  
Long Time

Long time behaviour of diffusing particles in constrained geometries; application to chromatin motion

2006 ◽  
Vol 18 (14) ◽  
pp. S235-S243 ◽  
Author(s):  
A Rosa ◽  
F R Neumann ◽  
S M Gasser ◽  
A Stasiak
Keyword(s):  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time
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