Global Existence, Asympotic Behavior and Uniform Attractors for Thermoelastic Systems

LI Jiao-long, QIN Yu-ming

doi:10.13371/j.cnki.chin.q.j.m.2017.03.001

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 3: 221 - 237

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.03.001

Global Existence, Asympotic Behavior and Uniform Attractors for Thermoelastic Systems

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College of Science, Donghua University

LI Jiao-long(1989-), female, native of Anyang, Henan, a master candidate of Donghua University, engages in nonlinear evolution equations and in¯nite-dimensional dynamical systems; QIN Yu-ming(1963-),male, native of Jiaozuo, Henan, a professor of Donghua University, Ph.D., engages in nonlinear evolution equations and in¯nite-dimensional dynamical systems.

Received date: 2016-09-12

Online published: 2020-10-21

Supported by

Supported by the NNSF of China(11671075)；

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Abstract

In this paper, we first establish the global existence and asymptotic behavior of solutions by multiplicative techniques, then further prove the existence of a uniform attractor for a thermoelastic system by using the method of uniform contractive functions. We finally investigate an alternative result of solutions for the semilinear thermoelastic systems by virtue of the semigroup method.

Key words： thermoelastic systems; global existence; asymptotic behavior; uniform attractors; semigroup methods

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LI Jiao-long, QIN Yu-ming . Global Existence, Asympotic Behavior and Uniform Attractors for Thermoelastic Systems[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(3) : 221 -237 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.03.001

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