The Caginalp phase-field system
with coupled dynamic boundary conditions
and singular potentials
Maurizio Grasselli - Dipartimento di Matematica, Politecnico di Milano, Via E. Bonardi, 9, I-20133 Milano, Italy (email)
Abstract: We study in this paper the well-posedness and the asymptotic behavior, in terms of global attractors, of the Caginalp system with coupled dynamic boundary conditions and possibly singular potentials (e.g., of logarithmic type).
Keywords: Phase-field systems, weak solutions, parabolic
regularization, global attractors.
Received: August 2009; Revised: January 2010; Published: April 2010.
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