scholarly journals Global existence and long-time behaviour for a singular integro-differential phase-field system

2007 ◽  
Vol 6 (2) ◽  
pp. 367-387 ◽  
Author(s):  
Elena Bonetti ◽  
◽  
Elisabetta Rocca ◽  
Keyword(s):  
Global Existence ◽  
Phase Field ◽  
Time Behaviour ◽  
Differential Phase ◽  
Field System ◽  
Long Time Behaviour ◽  
Long Time ◽  
Phase Field System

Long-time convergence of solutions to a phase-field system

2001 ◽  
Vol 24 (5) ◽  
pp. 277-287 ◽  
Author(s):  
Sergiu Aizicovici ◽  
Eduard Feireisl ◽  
Fran�oise Issard-Roch
Keyword(s):  
Phase Field ◽  
Convergence Of Solutions ◽  
Field System ◽  
Long Time ◽  
Phase Field System

Long-time behaviour for a model of phase-field type

1996 ◽  
Vol 126 (1) ◽  
pp. 167-185 ◽  
Author(s):  
Ph. Laurençot
Keyword(s):  
Phase Field ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Time Behaviour ◽  
Field Equations ◽  
Field Type ◽  
Long Time Behaviour ◽  
Long Time ◽  
Phase Field Equations ◽  
Initial Boundary Value

In this paper, we study a model of phase-field type for the kinetics of phase transitions which was considered by Halperin, Hohenberg and Ma and which includes the phase-field equations. We study the well-posedness of the corresponding initial boundary value problem in an open bounded subset in space dimension lower than or equal to 3 and prove that, under suitable conditions, the long-time behaviour of the solutions to this problem is described by a maximal attractor.

scholarly journals Uniqueness and long-time behavior for the conserved phase-field system with memory

1999 ◽  
Vol 5 (2) ◽  
pp. 375-390 ◽  
Author(s):  
Pierluigi Colli ◽  
◽  
Gianni Gilardi ◽  
Philippe Laurençot ◽  
Amy Novick-Cohen ◽  
...  
Keyword(s):  
Phase Field ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Field System ◽  
Long Time ◽  
Phase Field System ◽  
With Memory

scholarly journals On a Nonlocal Damping Model in Ferromagnetism

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
M. Moumni ◽  
M. Tilioua
Keyword(s):  
Mathematical Model ◽  
Global Existence ◽  
Existence Result ◽  
Magnetization Vector ◽  
Time Behaviour ◽  
Magnetization Dynamics ◽  
Long Time Behaviour ◽  
Long Time ◽  
Damping Model ◽  
Global Existence Result

We consider a mathematical model describing nonlocal damping in magnetization dynamics. The model consists of a modified form of the Landau-Lifshitz-Gilbert (LLG) equation for the evolution of the magnetization vector in a rigid ferromagnet. We give a global existence result and characterize the long time behaviour of the obtained solutions. The sensitivity of the model with respect to large and small nonlocal damping parameters is also discussed.

scholarly journals Long-time behaviour and convergence towards equilibria for a conserved phase field model

2003 ◽  
Vol 10 (1-2) ◽  
pp. 239-252
Author(s):  
Hana Petzeltová ◽  
Françoise Issard-Roch ◽  
Eduard Feireisl
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time

Long time behavior of higher-order anisotropic perturbed phase field system with regular potentials

2020 ◽  
Vol 116 (3-4) ◽  
pp. 149-217
Author(s):  
Clesh Deseskel Elion Ekohela ◽  
Gabriel Bissanga ◽  
Macaire Batchi
Keyword(s):  
Phase Field ◽  
Higher Order ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Field System ◽  
Long Time ◽  
Phase Field System
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