Free energies for incompressible viscoelastic fluids

Author:
G. Amendola

Journal:
Quart. Appl. Math. **68** (2010), 349-374

MSC (2000):
Primary 74D05, 76A10, 30E20

Published electronically:
February 19, 2010

MathSciNet review:
2663004

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Abstract | References | Similar Articles | Additional Information

Abstract: In this work we consider some expressions for the free energy, already proposed and studied for viscoelastic solids, and adapt them to incompressible viscoelastic fluids. The internal dissipation corresponding to each of these various forms of the free energy is also evaluated. In particular, the form of the minimum free energy for the discrete spectrum model is also considered in order to show its equivalence to some classical free energies.

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Additional Information

**G. Amendola**

Affiliation:
Dipartimento di Matematica Applicata “U. Dini”, via F. Buonarroti 1c, 56127-Pisa, Italy

Email:
amendola@dma.unipi.it

DOI:
https://doi.org/10.1090/S0033-569X-10-01185-3

Keywords:
Viscoelastic fluid,
fading memory,
free energy

Received by editor(s):
June 5, 2008

Received by editor(s) in revised form:
March 12, 2009

Published electronically:
February 19, 2010

Additional Notes:
This work was performed under the support of C.N.R. and M.I.U.R

Dedicated:
In memory of Tristano Manacorda, Member of the Lincei Academy, Emeritus Professor of the Faculty of Engineering of the University of Pisa, Italy (Firenze, October 24, 1920 – Pisa, May 20, 2008)

Article copyright:
© Copyright 2010
Brown University

The copyright for this article reverts to public domain 28 years after publication.