热弹系统解的整体存在性、渐近性和一致吸引子

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

数学季刊 ›› 2017, Vol. 32 ›› Issue (3): 221-237.doi: 10.13371/j.cnki.chin.q.j.m.2017.03.001

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热弹系统解的整体存在性、渐近性和一致吸引子

College of Science, Donghua University

收稿日期:2016-09-12 出版日期:2017-09-30 发布日期:2020-10-21
作者简介: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.
基金资助:
Supported by the NNSF of China(11671075)；

Global Existence, Asympotic Behavior and Uniform Attractors for Thermoelastic Systems

College of Science, Donghua University

Received:2016-09-12 Online:2017-09-30 Published:2020-10-21
About author: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.
Supported by:
Supported by the NNSF of China(11671075)；

摘要/Abstract

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

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

中图分类号:

O175

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.

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.

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热弹系统解的整体存在性、渐近性和一致吸引子

Global Existence, Asympotic Behavior and Uniform Attractors for Thermoelastic Systems

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