Smooth dynamics of a Timoshenko system with hybrid dissipation

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Author(s):	Qin, Yuming ; Rivera, Jaime E. Munoz ; Ma, To Fu Total Authors: 3
Document type:	Journal article
Source:	ASYMPTOTIC ANALYSIS; v. 131, n. 1, p. 15-pg., 2023-01-01.
Abstract
In this paper we study the longtime dynamics of a class of thermoelastic Timoshenko beams with history in a nonlinear elastic foundation. Our main result establishes the existence of a global attractor with finite fractal dimension without requiring the so-called equal wave speeds assumption. In addition, the attractor belongs to the phase space of strong solutions. The results are based on properties of gradient systems and a concept of quasi-stability. We believe this is the first study on the existence of global attractors for semilinear Timoshenko systems with hybrid dissipation (heat and memory). (AU)

FAPESP's process:	19/11824-0 - Dynamics of semilinear wave equations with localized damping
Grantee:	Ma To Fu
Support Opportunities:	Regular Research Grants