We investigate the dynamics of bodies with vector-type microstructure. We consider linear constitutive relations and a nonlinear coupling between macroscopic and microscopic motions, determined by gyroscopic-type inertia. Based on an existence result obtained in the presence of viscous-type stress components, we determine the existence of a global attractor; its weak nature derives from the lack of uniqueness determined by the nonlinear coupling.
Global weak attractors in the dynamics of bodies with vector-type microstructure / Luca Bisconti; Paolo Maria Mariano. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. - ISSN 0044-2275. - STAMPA. - 73:(2022), pp. 248.1-248.17. [10.1007/s00033-022-01887-6]
Global weak attractors in the dynamics of bodies with vector-type microstructure
Luca Bisconti;Paolo Maria Mariano
2022
Abstract
We investigate the dynamics of bodies with vector-type microstructure. We consider linear constitutive relations and a nonlinear coupling between macroscopic and microscopic motions, determined by gyroscopic-type inertia. Based on an existence result obtained in the presence of viscous-type stress components, we determine the existence of a global attractor; its weak nature derives from the lack of uniqueness determined by the nonlinear coupling.File | Dimensione | Formato | |
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