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

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	23-46
Number of pages	24
Journal	IMA Journal of Applied Mathematics
Volume	68
DOIs	https://doi.org/10.1093/imamat/68.1.23
Publication status	Published - 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:Journals Department, Great Clarendon Street, Oxford OX2 6DP United Kingdom:011 44 1865 556767, EMAIL: [email protected], INTERNET: http://www.oup.co.uk, Fax: 011 44 1865 267485",

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TY - JOUR

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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