Mathematics – Analysis of PDEs
Scientific paper
2007-05-31
Mathematics
Analysis of PDEs
46 pages
Scientific paper
This paper addresses the long-time behavior of gradient flows of non convex functionals in Hilbert spaces. Exploiting the notion of generalized semiflows by J. M. Ball, we provide some sufficient conditions for the existence of a global attractor. The abstract results are applied to various classes of non convex evolution problems. In particular, we discuss the long-time behavior of solutions of quasi-stationary phase field models and prove the existence of a global attractor.
Rossi Riccarda
Segatti Antonio
Stefanelli Ulisse
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