Differential and Integral Equations

Energy decay and propagation in a viscoelastic fluid with memory

Carlo Alberto Bosello and Barbara , Lazzari

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

A non-compressible viscoelastic fluid with memory is considered and the well posedness of the associated dynamical problem is studied. The exponential decay of the energy is obtained under suitable hypotheses on the memory kernel. Furthermore, a domain of dependence inequality is established, thereby showing the hyperbolic nature of the problem.

Article information

Source
Differential Integral Equations, Volume 23, Number 3/4 (2010), 359-371.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356019322

Mathematical Reviews number (MathSciNet)
MR2588480

Zentralblatt MATH identifier
1240.35402

Subjects
Primary: 74D05: Linear constitutive equations 74A15: Thermodynamics 76A10: Viscoelastic fluids 76A10: Viscoelastic fluids 74A15: Thermodynamics 76M30: Variational methods 35Q3 76A10: Viscoelastic fluids 76D03: Existence, uniqueness, and regularity theory [See also 35Q30] 76D03: Existence, uniqueness, and regularity theory [See also 35Q30]

Citation

Bosello, Carlo Alberto; Lazzari, Barbara ,. Energy decay and propagation in a viscoelastic fluid with memory. Differential Integral Equations 23 (2010), no. 3/4, 359--371. https://projecteuclid.org/euclid.die/1356019322


Export citation