General boundary stabilization of memory-type thermoelasticity with second sound

Salim A. Messaoudi; Aisha Al-Shehri

doi:10.4171/ZAA/1468

General boundary stabilization of memory-type thermoelasticity with second sound

Salim A. Messaoudi^*
, Aisha Al-Shehri

^*Corresponding author for this work

Mathematics Department

King Fahd University of Petroleum and Minerals

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

6 Scopus citations

Abstract

In this paper we consider an n-dimensional system of visco-thermoelasticity with second sound, where a viscoelastic dissipation is acting on a part of the boundary. We prove some decay results for solutions with specific regular initial data. In this regard, polynomial and general decay results are established.

Original language	English
Pages (from-to)	441-461
Number of pages	21
Journal	Zeitschrift für Analysis und ihre Anwendungen
Volume	31
Issue number	4
DOIs	https://doi.org/10.4171/ZAA/1468
State	Published - 2012

Keywords

Boundary stabilization
General decay
Polynomial decay
Relaxation function
Second sound
Thermoelasticity

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10.4171/ZAA/1468

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title = "General boundary stabilization of memory-type thermoelasticity with second sound",

abstract = "In this paper we consider an n-dimensional system of visco-thermoelasticity with second sound, where a viscoelastic dissipation is acting on a part of the boundary. We prove some decay results for solutions with specific regular initial data. In this regard, polynomial and general decay results are established.",

keywords = "Boundary stabilization, General decay, Polynomial decay, Relaxation function, Second sound, Thermoelasticity",

author = "Messaoudi, \{Salim A.\} and Aisha Al-Shehri",

year = "2012",

doi = "10.4171/ZAA/1468",

language = "English",

volume = "31",

pages = "441--461",

journal = "Zeitschrift f{\"u}r Analysis und ihre Anwendungen",

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T1 - General boundary stabilization of memory-type thermoelasticity with second sound

AU - Messaoudi, Salim A.

AU - Al-Shehri, Aisha

PY - 2012

Y1 - 2012

N2 - In this paper we consider an n-dimensional system of visco-thermoelasticity with second sound, where a viscoelastic dissipation is acting on a part of the boundary. We prove some decay results for solutions with specific regular initial data. In this regard, polynomial and general decay results are established.

AB - In this paper we consider an n-dimensional system of visco-thermoelasticity with second sound, where a viscoelastic dissipation is acting on a part of the boundary. We prove some decay results for solutions with specific regular initial data. In this regard, polynomial and general decay results are established.

KW - Boundary stabilization

KW - General decay

KW - Polynomial decay

KW - Relaxation function

KW - Second sound

KW - Thermoelasticity

UR - https://www.scopus.com/pages/publications/84867777487

U2 - 10.4171/ZAA/1468

DO - 10.4171/ZAA/1468

M3 - Article

AN - SCOPUS:84867777487

SN - 0232-2064

VL - 31

SP - 441

EP - 461

JO - Zeitschrift für Analysis und ihre Anwendungen

JF - Zeitschrift für Analysis und ihre Anwendungen

IS - 4

ER -

General boundary stabilization of memory-type thermoelasticity with second sound

Abstract

Keywords

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