热弹系统解的整体存在性、渐近性和一致吸引子

李姣龙, 秦玉明

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

数学季刊 >

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

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

热弹系统解的整体存在性、渐近性和一致吸引子

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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.

收稿日期: 2016-09-12

网络出版日期: 2020-10-21

基金资助

Supported by the NNSF of China(11671075)；

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Global Existence, Asympotic Behavior and Uniform Attractors for Thermoelastic Systems

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College of Science, Donghua University

Received date: 2016-09-12

Online published: 2020-10-21

Supported by

Supported by the NNSF of China(11671075)；

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摘要

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.

关键词： thermoelastic systems; global existence; asymptotic behavior; uniform attractors; semigroup methods

本文引用格式

李姣龙, 秦玉明 . 热弹系统解的整体存在性、渐近性和一致吸引子[J]. 数学季刊, 2017 , 32(3) : 221 -237 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.03.001

Abstract

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

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