scholarly journals Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium

2020 ◽  
Vol 13 (1) ◽  
pp. 129-168
Author(s):  
Joackim Bernier ◽  
◽  
Michel Mehrenberger ◽  
Keyword(s):  
Second Order ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Poisson Equations ◽  
Homogeneous Equilibrium ◽  
Long Time

Long-time behavior of second order evolution equations with nonlinear damping

2008 ◽  
Vol 195 (912) ◽  
pp. 0-0 ◽  
Author(s):  
Igor Chueshov ◽  
Irena Lasiecka
Keyword(s):  
Evolution Equations ◽  
Nonlinear Damping ◽  
Second Order ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Long Time

Long-Time Behavior for Second Order Lattice Dynamical Systems

2008 ◽  
Vol 106 (1) ◽  
pp. 47-59 ◽  
Author(s):  
Ahmed Y. Abdallah
Keyword(s):  
Dynamical Systems ◽  
Second Order ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Lattice Dynamical Systems ◽  
Long Time

Long-Time Behavior of Second-Order Abstract Equations

2010 ◽  
pp. 391-446
Author(s):  
Igor Chueshov ◽  
Irena Lasiecka
Keyword(s):  
Second Order ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Long Time

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 ) .

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.

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