scholarly journals Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory

2010 ◽  
Vol 26 (2) ◽  
pp. 625-647 ◽  
Author(s):  
Jan Prüss ◽  
◽  
Vicente Vergara ◽  
Rico Zacher ◽  
◽  
...  
Keyword(s):  
Well Posedness ◽  
Time Behaviour ◽  
Hilliard Equation ◽  
Long Time Behaviour ◽  
Long Time ◽  
Cahn Hilliard Equation ◽  
With Memory

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

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 ) .

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
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