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

QIN Yu-ming , LIU Zi-li

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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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.

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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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

Cite this article

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

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