scholarly journals Long-time dynamics of von Karman semi-flows with non-linear boundary/interior damping

2007 ◽  
Vol 233 (1) ◽  
pp. 42-86 ◽  
Author(s):  
Igor Chueshov ◽  
Irena Lasiecka
Keyword(s):  
Linear Boundary ◽  
Time Dynamics ◽  
Von Karman ◽  
Non Linear ◽  
Long Time ◽  
Von Kármán ◽  
Long Time Dynamics

scholarly journals Long time dynamics for the one dimensional non linear Schrödinger equation

2013 ◽  
Vol 63 (6) ◽  
pp. 2137-2198 ◽  
Author(s):  
Nicolas Burq ◽  
Laurent Thomann ◽  
Nikolay Tzvetkov
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
One Dimensional ◽  
Time Dynamics ◽  
Non Linear ◽  
Long Time ◽  
The One ◽  
Long Time Dynamics

Long-time dynamics of a class of nonlocal extensible beams with time delay

2021 ◽  
pp. 108128652110194
Author(s):  
Fengjuan Meng ◽  
Cuncai Liu ◽  
Chang Zhang
Keyword(s):  
Time Delay ◽  
Stability Property ◽  
Beam Equation ◽  
Exponential Attractors ◽  
Time Dynamics ◽  
Bounded Smooth Domain ◽  
Finite Dimensional ◽  
Long Time ◽  
Bounded Smooth ◽  
Long Time Dynamics

This work is devoted to the following nonlocal extensible beam equation with time delay: [Formula: see text] on a bounded smooth domain [Formula: see text]. The main purpose of this paper is to consider the long-time dynamics of the system. Under suitable assumptions, the quasi-stability property of the system is established, based on which the existence and regularity of a finite-dimensional compact global attractor are obtained. Moreover, the existence of exponential attractors is proved.

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