In this note we are concerned with the linear theory of a thermoelastic plate when a rate-type equation is assumed for the heat flux. We consider an initial boundary value problem for this plate and we show the existence, uniqueness and asymptotic stability of the solution. Thermodynamic restrictions on the assumed constitutive equations are also derived. Finally, we give the expression of a pseudo free energy.

Existence, uniqueness and asymptotic stability for a thermoelastic plate

AMENDOLA, GIOVAMBATTISTA
2003

Abstract

In this note we are concerned with the linear theory of a thermoelastic plate when a rate-type equation is assumed for the heat flux. We consider an initial boundary value problem for this plate and we show the existence, uniqueness and asymptotic stability of the solution. Thermodynamic restrictions on the assumed constitutive equations are also derived. Finally, we give the expression of a pseudo free energy.
Amendola, Giovambattista
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/76233
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact