Hyperbolic Relaxation of a Fourth Order Evolution Equation

We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term , where . We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in .

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Bibliographic Details
Main Authors: Renato Colucci, Gerardo R. Chacón
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/372726
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Summary:We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term , where . We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in .
ISSN:1085-3375
1687-0409