Long-Time Dynamics for Thermoelastic Bresse System of Type III

Authors

  • Na Fu School of Mathematics, Southwest Jiaotong University, Chengdu, 610031

DOI:

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

Keywords:

Bresse system, quasi-stability, global attractor, fractal dimension, exponential attractor

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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Published

2019-12-16

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Issue

Vol. 35 No. 2 (2019)

Section

Articles

How to Cite

Long-Time Dynamics for Thermoelastic Bresse System of Type III. (2019). Communications in Mathematical Research, 35(2), 159-179. https://doi.org/10.13447/j.1674-5647.2019.02.07