Attractors for gradient flows of non convex functionals and applications
نویسندگان
چکیده
This paper addresses the long-time behaviour 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 longtime behaviour of solutions of quasi-stationary phase field models and prove the existence of a global attractor.
منابع مشابه
Gradient Flows of Non Convex Functionals in Hilbert Spaces and Applications
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