第三型热弹Timoshenko型方程组指数衰减

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

数学季刊 ›› 2019, Vol. 34 ›› Issue (2): 111-125.doi: 10.13371/j.cnki.chin.q.j.m.2019.02.001

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第三型热弹Timoshenko型方程组指数衰减

Department of Applied Mathematics,Donghua University

收稿日期:2018-11-17 出版日期:2019-06-30 发布日期:2020-10-05
作者简介: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.
基金资助:
Supported by the NNSF of China with contract numbers 11671075

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

Department of Applied Mathematics,Donghua University

Received:2018-11-17 Online:2019-06-30 Published:2020-10-05
About author: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.
Supported by:
Supported by the NNSF of China with contract numbers 11671075

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O175

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.

QIN Yu-ming , LIU Zi-li. Exponential Decay in a Timoshenko-type System of Thermoelasticity of Type III[J]. Chinese Quarterly Journal of Mathematics, 2019, 34(2): 111-125.

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第三型热弹Timoshenko型方程组指数衰减

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

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