scholarly journals Long-time dynamics of KdV solitary waves over a variable bottom

2006 ◽  
Vol 59 (6) ◽  
pp. 869-905 ◽  
Author(s):  
Steven I. Dejak ◽  
Israel Michael Sigal
Keyword(s):  
Solitary Waves ◽  
Time Dynamics ◽  
Variable Bottom ◽  
Long Time ◽  
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.

scholarly journals Singular Limit and Long-Time Dynamics of Bresse Systems

2017 ◽  
Vol 49 (4) ◽  
pp. 2468-2495 ◽  
Author(s):  
To Fu Ma ◽  
Rodrigo Nunes Monteiro
Keyword(s):  
Singular Limit ◽  
Time Dynamics ◽  
Long Time ◽  
Long Time Dynamics

Long-time dynamics via direct summation of infinite continued fractions

1992 ◽  
Vol 68 (11) ◽  
pp. 1637-1640 ◽  
Author(s):  
Zhi-Xiong Cai ◽  
Surajit Sen ◽  
S. D. Mahanti
Keyword(s):  
Continued Fractions ◽  
Time Dynamics ◽  
Long Time ◽  
Long Time Dynamics ◽  
Direct Summation
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