Transmission problem in thermoelasticity with symmetry

Alfredo Marzocchi; Jaime E. Muñoz Rivera; Maria Grazia Naso

doi:10.1093/imamat/68.1.23

Transmission problem in thermoelasticity with symmetry

Alfredo Marzocchi
, Jaime E. Muñoz Rivera
, Maria Grazia Naso

Laboratório Nacional de Computação Científica
University of Brescia

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

In this paper we show the existence, uniqueness and regularity of the solutions to the thermoelastic transmission problem. Moreover, when the solutions are symmetrical we show that the energy decays exponentially as time goes to infinity, no matter how small is the size of the thermoelastic part.

Lingua originale	Inglese
pagine (da-a)	23-46
Numero di pagine	24
Rivista	IMA Journal of Applied Mathematics
Volume	68
DOI	https://doi.org/10.1093/imamat/68.1.23
Stato di pubblicazione	Pubblicato - 2003

Keywords

Exponential decay
n-d-thermoelasticity
Transmission problem
Simultaneous stabilization
Radial symmetry

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10.1093/imamat/68.1.23

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title = "Transmission problem in thermoelasticity with symmetry",

abstract = "In this paper we show the existence, uniqueness and regularity of the solutions to the thermoelastic transmission problem. Moreover, when the solutions are symmetrical we show that the energy decays exponentially as time goes to infinity, no matter how small is the size of the thermoelastic part.",

keywords = "Exponential decay, n-d-thermoelasticity, Transmission problem, Simultaneous stabilization, Radial symmetry, Exponential decay, n-d-thermoelasticity, Transmission problem, Simultaneous stabilization, Radial symmetry",

author = "Alfredo Marzocchi and \{Mu{\~n}oz Rivera\}, \{Jaime E.\} and Naso, \{Maria Grazia\}",

year = "2003",

doi = "10.1093/imamat/68.1.23",

language = "English",

volume = "68",

pages = "23--46",

journal = "IMA Journal of Applied Mathematics",

issn = "0272-4960",

publisher = "Oxford University Press",

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T1 - Transmission problem in thermoelasticity with symmetry

AU - Marzocchi, Alfredo

AU - Muñoz Rivera, Jaime E.

AU - Naso, Maria Grazia

PY - 2003

Y1 - 2003

N2 - In this paper we show the existence, uniqueness and regularity of the solutions to the thermoelastic transmission problem. Moreover, when the solutions are symmetrical we show that the energy decays exponentially as time goes to infinity, no matter how small is the size of the thermoelastic part.

AB - In this paper we show the existence, uniqueness and regularity of the solutions to the thermoelastic transmission problem. Moreover, when the solutions are symmetrical we show that the energy decays exponentially as time goes to infinity, no matter how small is the size of the thermoelastic part.

KW - Exponential decay

KW - n-d-thermoelasticity

KW - Transmission problem

KW - Simultaneous stabilization

KW - Radial symmetry

KW - Exponential decay

KW - n-d-thermoelasticity

KW - Transmission problem

KW - Simultaneous stabilization

KW - Radial symmetry

UR - http://hdl.handle.net/10807/268519

U2 - 10.1093/imamat/68.1.23

DO - 10.1093/imamat/68.1.23

M3 - Article

SN - 0272-4960

VL - 68

SP - 23

EP - 46

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

ER -

Transmission problem in thermoelasticity with symmetry

Abstract

Keywords

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