非自治Timoshenko系统解的整体存在性和渐进性

郑秀珍, 秦玉明

doi:10.13371/j.cnki.chin.q.j.m.2017.03.003

数学季刊 >

2017 , Vol. 32 >Issue 3: 246 - 254

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.03.003

非自治Timoshenko系统解的整体存在性和渐进性

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College of Science, Donghua University. Department of Applied Mathematics, Donghua University

ZHENG Xiu-zhen(1991-), female, native of Longyan, Fujian, a master candidate of Donghua University, engages in nonlinear evolution equations and infinite-dimensional dynamical systems.

收稿日期: 2016-11-19

网络出版日期: 2020-10-22

基金资助

Supported by the National Natural Science Foundation of China(11671075)；

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Global Existence and Asymptotic Behavior of Non-autonomous Timoshenko Systems

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College of Science, Donghua University. Department of Applied Mathematics, Donghua University

ZHENG Xiu-zhen(1991-), female, native of Longyan, Fujian, a master candidate of Donghua University, engages in nonlinear evolution equations and infinite-dimensional dynamical systems.

Received date: 2016-11-19

Online published: 2020-10-22

Supported by

Supported by the National Natural Science Foundation of China(11671075)；

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摘要

Considering Timoshenko systems under the Cattaneo thermal law, the purpose of the article is to obtain the global existence of linear Timoshenko system and semilinear Timoshenko system for the solutions of non-autonomous situations. The main method is converting the systems into abstract ODE, constructing proper spaces and proving the global existence by using semigroup methods. For asymptotic behavior, there will be a remark to describe the results.

关键词： Timoshenko systems; global existence; semigroup methods

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郑秀珍, 秦玉明 . 非自治Timoshenko系统解的整体存在性和渐进性[J]. 数学季刊, 2017 , 32(3) : 246 -254 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.03.003

Abstract

Key words： Timoshenko systems; global existence; semigroup methods

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