Differential and Integral Equations
- Differential Integral Equations
- Volume 23, Number 3/4 (2010), 359-371.
Energy decay and propagation in a viscoelastic fluid with memory
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.
Differential Integral Equations, Volume 23, Number 3/4 (2010), 359-371.
First available in Project Euclid: 20 December 2012
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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]
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