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.
J.Appleby, M. Fabrizio, B. Lazzari, D. Reynolds (2006). On Exponential Asymptotic Stability in Linear Viscoelasticity. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 16, 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.
