Muñoz Rivera, Jaime E. and Bisognin, Vanilde and Bisognin, Eleni:
Exponential decay to partially thermoelastic materials
Bollettino dell'Unione Matematica Italiana Serie 8 5-B (2002), fasc. n.3, p. 605-629, Unione Matematica Italiana (English)
pdf (1.96 MB), djvu (255 Kb). | MR1934370 | Zbl 1177.74178
Sunto
Studiamo il sistema termoelastico per materiali che siano parzialmente termoelastici. Consideriamo cioè un materiale diviso in due parti, una delle quali sia un buon conduttore di calore, in modo che ivi esistano fenomeni termoelastici. L'altra parte materiale è un cattivo conduttore di calore e quindi non esiste il flusso di calore. In questo lavoro dimostriamo che per tali modelli la soluzione decade esponenzialmente a zero quando il tempo tende all'infinito. Studiamo anche il caso non lineare.
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Con il contributo del Ministero per i Beni e le Attività Culturali