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
2003-01-01

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.
2003
Amendola, Giovambattista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/76233
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