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arXiv · 0705.4531

Attractors for gradient flows of non convex functionals and applications

Riccarda Rossi·Antonio Segatti·Ulisse Stefanelli
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Abstract

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.

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Riccarda Rossi, Antonio Segatti, Ulisse Stefanelli. 2007-05-31. Attractors for gradient flows of non convex functionals and applications. https://arxiv.org/abs/0705.4531

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