This paper establishes results concerning the exponential decay of strong solutions of a linear hyperbolic integrodifferential equation in Hilbert space. Rather than the more commonly used assumptions that the relaxation function is non-negative, decreasing and convex, dissipation is modelled by requiring that the dynamic viscosity be a positive function. This restriction has a firm thermodynamic basis. Frequency domain methods are employed.
On Exponential Asymptotic Stability in Linear Viscoelasticity / J.Appleby; M. Fabrizio; B. Lazzari; D. Reynolds. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - STAMPA. - 16:(2006), pp. 1677-1694. [10.1142/S0218202506001674]
On Exponential Asymptotic Stability in Linear Viscoelasticity
FABRIZIO, MAURO;LAZZARI, BARBARA;
2006
Abstract
This paper establishes results concerning the exponential decay of strong solutions of a linear hyperbolic integrodifferential equation in Hilbert space. Rather than the more commonly used assumptions that the relaxation function is non-negative, decreasing and convex, dissipation is modelled by requiring that the dynamic viscosity be a positive function. This restriction has a firm thermodynamic basis. Frequency domain methods are employed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
