Semilinear wave equations of viscoelasticity in the minimal state
Monica Conti - Politecnico di Milano - Dipartimento di Matematica "F. Brioschi", Via Bonardi 9, 20133 Milano, Italy (email)
Abstract: A semilinear integrodifferential equation of hyperbolic type is studied, where the dissipation is entirely contributed by the convolution term accounting for the past history of the variable. Within a novel abstract framework, based on the notion of minimal state, the existence of a regular global attractor is proved.
Keywords: Hyperbolic equation with memory, viscoelasticity,
minimal state, global attractor.
Received: September 2009; Revised: November 2009; Available Online: March 2010.
2015 Impact Factor1.127