Exponential stability of a transmission system coupling plate equation and heat equation with memory

Ruijuan Liu; Qiong Zhang

doi:10.1016/j.jmaa.2022.126707

Exponential stability of a transmission system coupling plate equation and heat equation with memory

Ruijuan Liu^*, Qiong Zhang

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This paper considers a transmission system consisting of a plate equation and a heat equation with memory, where the heat conduction is due to Coleman–Gurtin law or Gurtin–Pipkin law. By using the frequency domain method, we show the exponential stability of the system when the relaxation function and the domain satisfy certain conditions.

Original language	English
Article number	126707
Journal	Journal of Mathematical Analysis and Applications
Volume	518
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2022.126707
Publication status	Published - 15 Feb 2023

Keywords

Exponential stability
Resolvent operator estimate
Semigroup
Transmission system

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10.1016/j.jmaa.2022.126707

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title = "Exponential stability of a transmission system coupling plate equation and heat equation with memory",

abstract = "This paper considers a transmission system consisting of a plate equation and a heat equation with memory, where the heat conduction is due to Coleman–Gurtin law or Gurtin–Pipkin law. By using the frequency domain method, we show the exponential stability of the system when the relaxation function and the domain satisfy certain conditions.",

keywords = "Exponential stability, Resolvent operator estimate, Semigroup, Transmission system",

author = "Ruijuan Liu and Qiong Zhang",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",

year = "2023",

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doi = "10.1016/j.jmaa.2022.126707",

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T1 - Exponential stability of a transmission system coupling plate equation and heat equation with memory

AU - Liu, Ruijuan

AU - Zhang, Qiong

PY - 2023/2/15

Y1 - 2023/2/15

N2 - This paper considers a transmission system consisting of a plate equation and a heat equation with memory, where the heat conduction is due to Coleman–Gurtin law or Gurtin–Pipkin law. By using the frequency domain method, we show the exponential stability of the system when the relaxation function and the domain satisfy certain conditions.

AB - This paper considers a transmission system consisting of a plate equation and a heat equation with memory, where the heat conduction is due to Coleman–Gurtin law or Gurtin–Pipkin law. By using the frequency domain method, we show the exponential stability of the system when the relaxation function and the domain satisfy certain conditions.

KW - Exponential stability

KW - Resolvent operator estimate

KW - Semigroup

KW - Transmission system

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U2 - 10.1016/j.jmaa.2022.126707

DO - 10.1016/j.jmaa.2022.126707

M3 - Article

AN - SCOPUS:85139276115

SN - 0022-247X

VL - 518

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 126707

ER -

Exponential stability of a transmission system coupling plate equation and heat equation with memory

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Keywords

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