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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.54 (2022)
  6. A note about the well-posedness of an Initial Boundary Value Problem for the heat equation in a layered domain
 
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A note about the well-posedness of an Initial Boundary Value Problem for the heat equation in a layered domain

Inglese, Gabriele
•
Olmi, Roberto
2022
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ISSN
0049-4704
DOI
10.13137/2464-8728/33587
http://hdl.handle.net/10077/33587
  • Article

e-ISSN
2464-8728
Abstract
Heat conduction in a layered domain with imperfect ther-mal contact interfaces is modeled by means of a system of elliptic or parabolic PDEs with suitable boundary and transmission conditions. Well-posedness of this problem is proved and a stability estimate of the solution is given.
Journal
Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics 
Subjects
  • Heat equation

  • composite domain

Publisher
EUT Edizioni Università di Trieste
Source
Gabriele Inglese, Roberto Olmi, "A note about the well-posedness of an Initial Boundary Value Problem for the heat equation in a layered domain" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.54 (2022)", EUT Edizioni Università di Trieste, Trieste, 2022, pp. 49-58
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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