Attractors for General Operators |
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| Authors: | Alain Miranville |
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| Institution: | (1) Laboratoire d'Applications des Mathématiques, SP2MI, Université de Poitiers, Téléport 2, Boulevard Marie et Pierre Curie, 86962 Chasseneuil Futuroscope Cedex, France |
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| Abstract: | In this article we introduce the notion of a minimal attractor for families of operators that do not necessarily form semigroups. We then obtain some results on the existence of the minimal attractor. We also consider the nonautonomous case. As an application, we obtain the existence of the minimal attractor for models of Cahn-Hilliard equations in deformable elastic continua. |
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| Keywords: | global attractor minimal attractor exponential attractor weakly coupled system |
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