scholarly journals On the Long Time Behavior of Solutions to the Intermediate Long Wave Equation

2021 ◽  
Vol 53 (1) ◽  
pp. 1029-1048
Author(s):  
Claudio Mun͂oz ◽  
Gustavo Ponce ◽  
Jean-Claude Saut
Keyword(s):  
Wave Equation ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Long Wave ◽  
Long Time

scholarly journals Time-dependent attractor of wave equations with nonlinear damping and linear memory

2019 ◽  
Vol 17 (1) ◽  
pp. 89-103
Author(s):  
Qiaozhen Ma ◽  
Jing Wang ◽  
Tingting Liu
Keyword(s):  
Wave Equation ◽  
Wave Equations ◽  
Nonlinear Damping ◽  
Time Dependent ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Long Time

Abstract In this article, we consider the long-time behavior of solutions for the wave equation with nonlinear damping and linear memory. Within the theory of process on time-dependent spaces, we verify the process is asymptotically compact by using the contractive functions method, and then obtain the existence of the time-dependent attractor in $\begin{array}{} H^{1}_0({\it\Omega})\times L^{2}({\it\Omega})\times L^{2}_{\mu}(\mathbb{R}^{+};H^{1}_0({\it\Omega})) \end{array}$.

scholarly journals Long Time Behavior for a Wave Equation with Time Delay

2017 ◽  
Vol 21 (1) ◽  
pp. 107-129 ◽  
Author(s):  
Gongwei Liu ◽  
Hongyun Yue ◽  
Hongwei Zhang
Keyword(s):  
Wave Equation ◽  
Time Delay ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Long Time

scholarly journals Long-time behavior of a semilinear wave equation with memory

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Baowei Feng ◽  
Maurício L Pelicer ◽  
Doherty Andrade
Keyword(s):  
Wave Equation ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Semilinear Wave Equation ◽  
Long Time ◽  
With Memory

scholarly journals On global dynamics of 2D convective Cahn–Hilliard equation

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xiaopeng Zhao
Keyword(s):  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Global Dynamics ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Initial Value ◽  
Hilliard Equation ◽  
Long Time ◽  
Cahn Hilliard Equation ◽  
Initial Boundary Value

AbstractIn this paper, we study the long time behavior of solution for the initial-boundary value problem of convective Cahn–Hilliard equation in a 2D case. We show that the equation has a global attractor in $H^{4}(\Omega )$ H 4 ( Ω ) when the initial value belongs to $H^{1}(\Omega )$ H 1 ( Ω ) .

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