scholarly journals A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions

2007 ◽  
Vol 88 (5) ◽  
pp. 455-481 ◽  
Author(s):  
Elena Bonetti ◽  
Michel Frémond ◽  
Elisabetta Rocca
Keyword(s):  
Phase Transitions ◽  
Time Behaviour ◽  
Dual Approach ◽  
Long Time Behaviour ◽  
Long Time ◽  
With Memory

scholarly journals Long-Time Behaviour and Phase Transitions for the Mckean–Vlasov Equation on the Torus

2019 ◽  
Vol 235 (1) ◽  
pp. 635-690 ◽  
Author(s):  
J. A. Carrillo ◽  
R. S. Gvalani ◽  
G. A. Pavliotis ◽  
A. Schlichting
Keyword(s):  
Phase Transitions ◽  
Vlasov Equation ◽  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time

scholarly journals Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity

2006 ◽  
Vol 6 (5) ◽  
pp. 1001-1026 ◽  
Author(s):  
Elena Bonetti ◽  
◽  
Pierluigi Colli ◽  
Mauro Fabrizio ◽  
Gianni Gilardi ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Time Behaviour ◽  
Entropy Balance ◽  
Thermal Memory ◽  
Long Time Behaviour ◽  
Long Time

Long-time behaviour of solutions to a one-dimensional strongly nonlinear model for phase transitions with micro-movements

2012 ◽  
Vol 142 (6) ◽  
pp. 1279-1307
Author(s):  
Jie Jiang
Keyword(s):  
Phase Transitions ◽  
Nonlinear Partial Differential Equation ◽  
Global Solutions ◽  
Global Attractors ◽  
Equation System ◽  
Time Behaviour ◽  
One Dimensional ◽  
Strongly Nonlinear ◽  
Long Time Behaviour ◽  
Long Time

This paper studies the long-time behaviour of solutions to a one-dimensional strongly nonlinear partial differential equation system arising from phase transitions with microscopic movements. Our system features a strongly nonlinear internal energy balance equation. Uniform bounds of the global solutions and the compactness of the orbit are obtained for the first time using a lemma established recently by Jiang. The existence of global attractors and convergence of global solutions to a single steady state as time goes to infinity are also proved.

scholarly journals Long-time behaviour of a thermomechanical model for adhesive contact

2011 ◽  
Vol 4 (2) ◽  
pp. 273-309 ◽  
Author(s):  
Elena Bonetti ◽  
◽  
Giovanna Bonfanti ◽  
Riccarda Rossi ◽  
◽  
...  
Keyword(s):  
Adhesive Contact ◽  
Time Behaviour ◽  
Thermomechanical Model ◽  
Long Time Behaviour ◽  
Long Time

Long time behaviour of diffusing particles in constrained geometries; application to chromatin motion

2006 ◽  
Vol 18 (14) ◽  
pp. S235-S243 ◽  
Author(s):  
A Rosa ◽  
F R Neumann ◽  
S M Gasser ◽  
A Stasiak
Keyword(s):  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time
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