scholarly journals Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions

2007 ◽  
Vol 8 (1) ◽  
pp. 39-44 ◽  
Author(s):  
E. C.M. Crooks ◽  
◽  
E. N. Dancer ◽  
Danielle Hilhorst ◽  
◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Diffusion System ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Fast Reaction ◽  
Long Time ◽  
Fast Reaction Limit ◽  
Competition Diffusion

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.

Large Time Behavior of Solutions to One Nonlinear Integro-Differential Equation

2008 ◽  
Vol 15 (3) ◽  
pp. 531-539
Author(s):  
Temur Jangveladze ◽  
Zurab Kiguradze
Keyword(s):  
Magnetic Field ◽  
Differential Equation ◽  
Boundary Conditions ◽  
Large Time ◽  
Dirichlet Boundary ◽  
Large Time Behavior ◽  
Dirichlet Boundary Conditions ◽  
Time Behavior ◽  
Integro Differential Equation ◽  
Homogeneous Data

Abstract Large time behavior of solutions to the nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance is studied. The rate of convergence is given, too. Dirichlet boundary conditions with homogeneous data are considered.

Global Attractors for p-Laplacian Equations with Dynamic Flux Boundary Conditions

2013 ◽  
Vol 13 (2) ◽  
Author(s):  
Bo You ◽  
Chengkui Zhong
Keyword(s):  
Boundary Conditions ◽  
Polynomial Growth ◽  
Arbitrary Order ◽  
Global Attractors ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Flux Boundary Conditions ◽  
Long Time ◽  
Bounded Smooth ◽  
Laplacian Equations

AbstractThis paper studies the long-time behavior of solutions for p-Laplacian equations with a polynomial growth nonlinearity of arbitrary order and dynamic flux boundary conditions in d-dimensional bounded smooth domains. We first prove the existence of global attractors in L

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