Spectral Analysis of Linear Models of Viscoelasticity
Journal Article
·
· Journal of Mathematical Sciences
In this paper, we examine Volterra integrodifferential equations with unbounded operator coefficients in Hilbert spaces. Equations considered are abstract hyperbolic equations perturbed by terms containing Volterra integral operators. These equations can be realized as partial integrodifferential equations that appear in the theory of viscoelasticity (see [2, 5]), as Gurtin–Pipkin integrodifferential equations (see [1, 7]) that describe finite-speed heat transfer in materials with memory. They also appear in averaging problems for multiphase media (Darcy’s law.
- OSTI ID:
- 22771289
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 5 Vol. 230; ISSN JMTSEW; ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
Similar Records
Well-Posedness and Spectral Analysis of Integrodifferential Equations Arising in Viscoelasticity Theory
Automatic Control via Thermostats of a Hyperbolic Stefan Problem with Memory
The Controllability of the Gurtin-Pipkin Equation: A Cosine Operator Approach
Journal Article
·
Sat Sep 15 00:00:00 EDT 2018
· Journal of Mathematical Sciences
·
OSTI ID:22773855
Automatic Control via Thermostats of a Hyperbolic Stefan Problem with Memory
Journal Article
·
Sun Mar 14 23:00:00 EST 1999
· Applied Mathematics and Optimization
·
OSTI ID:21067553
The Controllability of the Gurtin-Pipkin Equation: A Cosine Operator Approach
Journal Article
·
Mon Aug 15 00:00:00 EDT 2005
· Applied Mathematics and Optimization
·
OSTI ID:21067437