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Title Asymptotic behavior of a generalization of the Caginalp phase-field system

Name Filippo Dell\\\'Oro
Country Italy
Email filippo.delloro@polimi.it
Co-Author(s) Monica Conti, Alain Miranville
Submit Time 2013-11-27 17:26:06
Special Session 2: Nonlinear evolution PDEs and interfaces in applied sciences
We discuss the asymptotic behavior of a generalized nonlinear Caginalp phase-field system, based on the theory of heat conduction of type III devised by Green and Naghdi. In the case of two nonlinearities of polynomial critical growth, we prove the existence of global attractors of optimal regularity.