第三型热弹Timoshenko型方程组指数衰减

秦玉明, 刘子丽

doi:10.13371/j.cnki.chin.q.j.m.2019.02.001

数学季刊 >

2019 , Vol. 34 >Issue 2: 111 - 125

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.02.001

第三型热弹Timoshenko型方程组指数衰减

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Department of Applied Mathematics,Donghua University

QIN Yu-ming(1963-), male, native of Jiaozuo, Henan, professor of Donghua University, Ph.D supervisor, Ph.D, engages in PDEs; LIU Zi-li(1994-), female, native of Bozhou, Anhui, Master candidate of Donghua University, engages in nonlinear evolution equations.

收稿日期: 2018-11-17

网络出版日期: 2020-10-05

基金资助

Supported by the NNSF of China with contract numbers 11671075

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Exponential Decay in a Timoshenko-type System of Thermoelasticity of Type III

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Department of Applied Mathematics,Donghua University

Received date: 2018-11-17

Online published: 2020-10-05

Supported by

Supported by the NNSF of China with contract numbers 11671075

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摘要

In this work, a Timoshenko system of type Ⅲ of thermoelasticity with frictional versus viscoelastic under Dirichlet-Dirichlet-Neumann boundary conditions was considered.By exploiting energy method to produce a suitable Lyapunov functional, we establish the global existence and exponential decay of type-Ⅲ case.

关键词： Timoshenko; global existence; energy decay; multiplier method; Lyapunov functional

本文引用格式

秦玉明, 刘子丽 .

第三型热弹Timoshenko型方程组指数衰减

[J]. 数学季刊, 2019 , 34(2) : 111 -125 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.02.001

Abstract

Key words： Timoshenko; global existence; energy decay; multiplier method; Lyapunov functional

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第三型热弹Timoshenko型方程组指数衰减

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第三型热弹Timoshenko型方程组指数衰减

Abstract