Well-posedness and long-time behaviour for a singular phase field system of conserved type

2007 ◽  
Vol 72 (4) ◽  
pp. 498-530 ◽  
Author(s):  
G. Gilardi ◽  
E. Rocca
Keyword(s):  
Phase Field ◽  
Well Posedness ◽  
Time Behaviour ◽  
Field System ◽  
Long Time Behaviour ◽  
Long Time ◽  
Phase Field System

scholarly journals Well-posedness and long time behavior of a parabolic-hyperbolic phase-field system with singular potentials

2007 ◽  
Vol 280 (13-14) ◽  
pp. 1475-1509 ◽  
Author(s):  
Maurizio Grasselli ◽  
Alain Miranville ◽  
Vittorino Pata ◽  
Sergey Zelik
Keyword(s):  
Phase Field ◽  
Well Posedness ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Singular Potentials ◽  
Field System ◽  
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

Well-posedness and long-time behaviour for a model of contact with adhesion

2007 ◽  
Vol 56 (6) ◽  
pp. 2787-2820 ◽  
Author(s):  
Giovanna Bonfanti ◽  
Riccarda Rossi ◽  
Elena Bonetti
Keyword(s):  
Well Posedness ◽  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time

scholarly journals Weighted Ultrafast Diffusion Equations: From Well-Posedness to Long-Time Behaviour

2018 ◽  
Vol 232 (3) ◽  
pp. 1165-1206 ◽  
Author(s):  
Mikaela Iacobelli ◽  
Francesco S. Patacchini ◽  
Filippo Santambrogio
Keyword(s):  
Diffusion Equations ◽  
Well Posedness ◽  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time

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.

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