This paper deals with the longtime behavior of the Caginalp phase-field system with coupled dynamic boundary conditions on both state variables.We prove that the system generates a dissipative semigroup in a suitable phase-spaceand possesses the finite-dimensional smooth global attractor and an exponential attractor.
This paper deals with the longtime behavior of the Caginalp phasefield system with coupled dynamic boundary conditions on both state variables. We prove that the system generates a dissipative semigroup in a suitable phasespace and possesses the finite-dimensional smooth global attractor and an exponential attractor.
Asymptotic behavior of the Caginalp phase-field system with coupled dynamic boundary conditions / M., Conti; Gatti, Stefania; A., Miranville. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 5:3(2012), pp. 485-505. [10.3934/dcdss.2012.5.485]
Asymptotic behavior of the Caginalp phase-field system with coupled dynamic boundary conditions
GATTI, Stefania;
2012
Abstract
This paper deals with the longtime behavior of the Caginalp phasefield system with coupled dynamic boundary conditions on both state variables. We prove that the system generates a dissipative semigroup in a suitable phasespace and possesses the finite-dimensional smooth global attractor and an exponential attractor.
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