Attractors for a class of extensible beams with strong nonlinear damping

Author:

Tavares Eduardo Henrique Gomes1,Narciso Vando2

Affiliation:

1. Department of Mathematics, State University of Londrina, Londrina, 86057-970, Brazil

2. Nucleus of Exact and Earth Sciences, State University of Mato Grosso do Sul, Dourados, 79804-970, Brazil

Abstract

<p style='text-indent:20px;'>We concern to stablish the existence and qualitative properties of the compact global attractor associate to solutions of a class of extensible beam equations with strong nonlinear damping arising from the wave model proposed by Prestel [<xref ref-type="bibr" rid="b18">18</xref>].</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,Modeling and Simulation

Reference20 articles.

1. F. Aloui, I. B. Hassen, A. Haraux.Compactness of trajectories to some nonlinear second order evolution equation and applications, Math. Pures Appl., 100 (2013), 295-326.

2. V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Editura Academiei Republicii Socialiste România, Bucharest, Noordhoff International Publishing, Leiden, 1976,352 pp.

3. V. Barbu, Nonlinear Differential Equations of Monotone Types in Banach Spaces, Springer Monographs in Mathematics, Springer, New York, 2010.

4. H. Brézis.Équations et inéquations non linéaires dans les spaces vectoriels en dualité, Ann. Ins. Fourier (Grenoble), 18 (1968), 115-175.

5. H. Brézis, F. E. Browder.Some properties of higher-order Sobolev spaces, Journal de Mathematiques Pures et Appliquees, 61 (1982), 245-259.

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