A note on a two-temperature model in linear thermoelasticity

S Mukhopadyay, R Picard, S Trostorff, M Waurick

Research output: Contribution to journalArticlepeer-review

4 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.
Original languageEnglish
Pages (from-to)905-918
Number of pages14
JournalMathematics and Mechanics of Solids
Volume22
Issue number5
DOIs
Publication statusPublished - 8 Dec 2015

Keywords

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

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