Regular Global Attractors of Type Ⅲ Thermoelastic Extensible Beams

For βεR, the authors consider the evolution system in the unknown variables u and α {(e)ttu + (e)xxxxu +(e)xxtα-(β+ ||(e)xu||2L2)(e)xxu=f,(e)ttα-(e)xxα-(e)xxtα-(e)xxtu=0 describing the dynamics of type Ⅲ thermoelastic extensible beams, where the dissipation is entirely contributed by the second equation ruling the evolution of the thermal displacement α. Under natural boundary conditions, the existence of the global attractor of optimal regularity for the related dynamical system acting on the phase space of weak energy solutions is established.

作 者： Michele COTI ZELATI Vittorino PATA Ramon QUINTANILLA   作者单位： Michele COTI ZELATI(Mathematics Department, Indiana University, Rawles Hall, Bloomington, IN 47405, USA)

Vittorino PATA(Dipartimento di Matematica "F. Brioschi", Politecnico di Milano, Via Bonardi 9, 20133 Milano, Italy)

Ramon QUINTANILLA(Matemática Aplicada 2 ETSEIAT-UPC Terrassa, Colom 11, 08222 Terrassa, Barcelona, Spain) 

刊 名： 数学年刊B辑（英文版）  ISTIC SCI 英文刊名： CHINESE ANNALS OF MATHEMATICS,SERIES B  年，卷(期)： 2010 31(5)  分类号： O1  关键词： Type Ⅲ thermoelastic extensible beam   Lyapunov functional   Global attractor  

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