带有时滞和热扩散效应的 Timoshenko 系统的适定性

秦玉明, 韩宁

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

数学季刊 >

2022 , Vol. 37 >Issue 1: 1 - 9

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.01.001

带有时滞和热扩散效应的 Timoshenko 系统的适定性

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Department of Mathematics, Donghua University

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.

收稿日期: 2021-11-21

网络出版日期: 2022-03-30

基金资助

Supported by the NNSF of China (Grant No. 12171082); Fundamental Funds for the Central Universities (Grant No. 2232021G-13).

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Well-Posedness for Timoshenko System with Thermodiffusion Effects and Delay

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Department of Mathematics, Donghua University

Received date: 2021-11-21

Online published: 2022-03-30

Supported by

Supported by the NNSF of China (Grant No. 12171082); Fundamental Funds for the Central Universities (Grant No. 2232021G-13).

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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

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

Abstract

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

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