Article Contents
Article Contents

# Asymptotic behavior of the Caginalp phase-field system with coupled dynamic boundary conditions

• 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-space and possesses the finite-dimensional smooth global attractor and an exponential attractor.
Mathematics Subject Classification: Primary: 35K55, 35J60; Secondary: 80A22.

 Citation:

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