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http://dx.doi.org/10.7858/eamj.2016.028

GLOBAL ATTRACTOR FOR SOME BEAM EQUATION WITH NONLINEAR SOURCE AND DAMPING TERMS  

Lee, Mi Jin (Department of Mathematics, Pusan National University)
Publication Information
East Asian mathematical journal / v.32, no.3, 2016 , pp. 377-385 More about this Journal
Abstract
Global attractor is a basic concept to study the long-time behavior of solutions of the various equations. This paper is investigated with the existence of a global attractor for the beam equation $$u_{tt}+{\Delta}^2u-{\nabla}{\cdot}\{{\sigma}({\mid}{\nabla}u{\mid}^2){\nabla}u\}+f(u)+a(x)g(u_t)=h,$$ using multipliers technique and Nakao's Lemma.
Keywords
Beam equation; Global attractor; Long-time behavior;
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