Long-Time Dynamics for Thermoelastic Bresse System of Type III

Long-Time Dynamics for Thermoelastic Bresse System of Type III

Year:    2019

Author:    Na Fu

Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 159–179

Abstract

This paper considers the thermoelastic beam system of type III with friction dissipations acting on the whole system. By using the methods developed by Chueshov and Lasiecka, we get the quasi-stability property of the system and obtain the existence of a global attractor with finite fractal dimension. Result on exponential attractors of the system is also proved.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2019.02.07

Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 159–179

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Bresse system quasi-stability global attractor fractal dimension exponential attractor

Author Details

Na Fu