On the regularity and stability of three-phase-lag thermoelastic plate

Zhuangyi Liu; Ramon Quintanilla; Yang Wang

doi:10.1080/00036811.2021.1892079

On the regularity and stability of three-phase-lag thermoelastic plate

Zhuangyi Liu, Ramon Quintanilla, Yang Wang

Mathematics & Statistics

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

6 Scopus citations

Abstract

In this paper we consider the following three-phase-lag thermoelastic plate: (Formula presented.) We obtain analyticity and exponential stability for the associated (Formula presented.) -semigroup when the coefficients satisfy (Formula presented.). The analyticity of the semigroup still holds when (Formula presented.). However, the instability of solution was proved by the Routh–Hurwitz rule.

Original language	English (US)
Pages (from-to)	5376-5385
Number of pages	10
Journal	Applicable Analysis
Volume	101
Issue number	15
DOIs	https://doi.org/10.1080/00036811.2021.1892079
State	Published - 2022

Bibliographical note

Publisher Copyright:
© 2021 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

35L65
35Q30
35Q35
76N10
Three-phase-lag thermoelastic plate
analyticity
exponential stability

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10.1080/00036811.2021.1892079

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T1 - On the regularity and stability of three-phase-lag thermoelastic plate

AU - Liu, Zhuangyi

AU - Quintanilla, Ramon

AU - Wang, Yang

PY - 2022

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N2 - In this paper we consider the following three-phase-lag thermoelastic plate: (Formula presented.) We obtain analyticity and exponential stability for the associated (Formula presented.) -semigroup when the coefficients satisfy (Formula presented.). The analyticity of the semigroup still holds when (Formula presented.). However, the instability of solution was proved by the Routh–Hurwitz rule.

AB - In this paper we consider the following three-phase-lag thermoelastic plate: (Formula presented.) We obtain analyticity and exponential stability for the associated (Formula presented.) -semigroup when the coefficients satisfy (Formula presented.). The analyticity of the semigroup still holds when (Formula presented.). However, the instability of solution was proved by the Routh–Hurwitz rule.

KW - 35L65

KW - 35Q30

KW - 35Q35

KW - 76N10

KW - Three-phase-lag thermoelastic plate

KW - analyticity

KW - exponential stability

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VL - 101

SP - 5376

EP - 5385

JO - Applicable Analysis

JF - Applicable Analysis

IS - 15

ER -

On the regularity and stability of three-phase-lag thermoelastic plate

Abstract

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Keywords

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