A note on a two-temperature model in linear thermoelasticity

S Mukhopadyay, R Picard, S Trostorff, M Waurick

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We discuss the so-called two-temperature model in linear thermoelasticity and provide a Hilbert space framework for proving well-posedness of the equations under consideration. With the abstract perspective of evolutionary equations, the two-temperature model turns out to be a coupled system of the elastic equations and an abstract ordinary differential equation (ODE). Following this line of reasoning, we propose another model which is entirely an abstract ODE. We also highlight an alternative method for a two-temperature model, which might be of independent interest.
LanguageEnglish
Pages905-918
Number of pages14
JournalMathematics and Mechanics of Solids
Volume22
Issue number5
DOIs
Publication statusPublished - 8 Dec 2015

Fingerprint

Thermoelasticity
Abstract Differential Equations
Ordinary differential equations
Ordinary differential equation
Temperature
Hilbert spaces
Well-posedness
Model
Coupled System
Reasoning
Hilbert space
Line
Alternatives

Keywords

  • evolutionary equations
  • thermoelasticity
  • two-temperature model
  • coupled systems

Cite this

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A note on a two-temperature model in linear thermoelasticity. / Mukhopadyay, S; Picard, R; Trostorff, S; Waurick, M.

In: Mathematics and Mechanics of Solids, Vol. 22, No. 5, 08.12.2015, p. 905-918.

Research output: Contribution to journalArticle

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