带有时滞和热扩散效应的 Timoshenko 系统的适定性

doi:10.13371/j.cnki.chin.q.j.m.2022.01.001

数学季刊 ›› 2022, Vol. 37 ›› Issue (1): 1-9.doi: 10.13371/j.cnki.chin.q.j.m.2022.01.001

• • 下一篇

带有时滞和热扩散效应的 Timoshenko 系统的适定性

Department of Mathematics, Donghua University

收稿日期:2021-11-21 出版日期:2022-03-30 发布日期:2022-03-30
通讯作者: QIN Yu-ming (1963-), male, native of Jiaozuo, Henan, professor of Donghua University, engages in infinite dimensional dynamical system E-mail:yuming@dhu.edu.cn.
作者简介:QIN Yu-ming (1963-), male, native of Jiaozuo, Henan, professor of Donghua University, engages in infinite dimensional dynamical system; HAN Ning (1997-), female, native of Zhoukou, Henan, master of Donghua University, engages in infinite dimensional dynamical system.
基金资助:
Supported by the NNSF of China (Grant No. 12171082); Fundamental Funds for the Central Universities (Grant No. 2232021G-13).

Well-Posedness for Timoshenko System with Thermodiffusion Effects and Delay

Department of Mathematics, Donghua University

Received:2021-11-21 Online:2022-03-30 Published:2022-03-30
Contact: QIN Yu-ming (1963-), male, native of Jiaozuo, Henan, professor of Donghua University, engages in infinite dimensional dynamical system E-mail:yuming@dhu.edu.cn.
About author:QIN Yu-ming (1963-), male, native of Jiaozuo, Henan, professor of Donghua University, engages in infinite dimensional dynamical system; HAN Ning (1997-), female, native of Zhoukou, Henan, master of Donghua University, engages in infinite dimensional dynamical system.
Supported by:
Supported by the NNSF of China (Grant No. 12171082); Fundamental Funds for the Central Universities (Grant No. 2232021G-13).

摘要/Abstract

摘要： In this paper, we study the well-posedness for the thermoelastic Timoshenko system with a constant delay and mass diffusion effects. Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam. The C₀ -semigroup theory will be used to prove the well-posedness of the considered problem.

关键词: Timoshenko system, Well-posedness, Delay, C₀-semigroup theory

Abstract: In this paper, we study the well-posedness for the thermoelastic Timoshenko system with a constant delay and mass diffusion effects. Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam. The C₀ -semigroup theory will be used to prove the well-posedness of the considered problem.

Key words: Timoshenko system, Well-posedness, Delay, C₀ -semigroup theory

中图分类号:

O175.2

秦玉明, 韩宁.

带有时滞和热扩散效应的 Timoshenko 系统的适定性 [J]. 数学季刊, 2022, 37(1): 1-9.

QIN Yu-ming, HAN Ning. Well-Posedness for Timoshenko System with Thermodiffusion Effects and Delay [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(1): 1-9.

[1]	钟颖, 韦煜明. 具有环境容纳量和成熟双时滞的有毒食饵-捕食者收获模型[J]. 数学季刊, 2023, 38(4): 331-348.
[2]	白宏芳. 一类具有时滞的生态流行病模型的稳定性与 Hopf 分支[J]. 数学季刊, 2023, 38(2): 157-183.
[3]	董延寿, 韩艳, 代婷婷. 时间尺度上具有泄漏时滞的一般BAM神经网络概周期解的存在性和指数稳定性[J]. 数学季刊, 2022, 37(2): 189-202.
[4]	赵包, 杨赟瑞, 马竹艳. 非局部时滞传染病模型的行波解[J]. 数学季刊, 2020, 35(4): 331-343.
[5]	高建忠, 张太雷. 一类具有脉冲接种、双时滞的SEIRS传染病模型研究分析[J]. 数学季刊, 2019, 34(1): 75-87.
[6]	徐建中, 张豫川, 周宗福. 一类无穷时滞积分方程概周期解的存在唯一性[J]. 数学季刊, 2018, 33(2): 166-171.
[7]	刘筠, 原保全. 不可压缩Oldroyd方程局部解的存在性 [J]. 数学季刊, 2017, 32(4): 331-344.
[8]	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.
[9]	胡文松, 秦玉明. 关于衰减Timoshenko系统的解的整体存在性、渐近性及一致吸引子[J]. 数学季刊, 2017, 32(3): 305-321.
[10]	李艳, 蒋威, 胡贝贝. 带时滞的中立型分数阶神经网络的稳定性[J]. 数学季刊, 2016, 31(4): 422-429.
[11]	曹洁. 一个关于时间三阶动力学模型解的整体存在性,渐近性和一致吸引子[J]. 数学季刊, 2016, 31(3): 221-236.
[12]	郑秀珍. Timoshenko系统在Gurtin-Pipkin热能定律下解的整体存在性、渐进性及一致吸引子[J]. 数学季刊, 2016, 31(3): 307-330.
[13]	康瑞妮, 张太雷, 刘俊利. 一类具有接种和时滞的非自治捕食-食饵的SIR传染病模型[J]. 数学季刊, 2015, 30(3): 450-461.
[14]	程媛媛, 蒋威. 含两个不同时变时滞连续系统的稳定性判据[J]. 数学季刊, 2015, 30(1): 30-38.
[15]	陈红兵. 具有时滞的食饵捕食系统的Hopf分支及分支周期解的稳定性[J]. 数学季刊, 2015, 30(1): 93-106.

带有时滞和热扩散效应的 Timoshenko 系统的适定性

Well-Posedness for Timoshenko System with Thermodiffusion Effects and Delay

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

不可压缩Oldroyd方程局部解的存在性

编辑推荐

Metrics

本文评价