Open Access
Translator Disclaimer
2002 The minimum free energy for a class of compressible viscoelastic fluids
M. Fabrizio, G. Gentili, J. M. Golden
Adv. Differential Equations 7(3): 319-342 (2002). DOI: 10.57262/ade/1356651828

Abstract

A general expression is derived for the isothermal minimum free energy of a compressible viscoelastic fluid with linear dependence on the history of strain and nonlinear dependence on the density. This involves the solution of a Wiener--Hopf integral equation, for which an existence and uniqueness theorem is proved. The factorization of a particular material tensor, which is fundamental to the methodology, can be carried out explicitly in this case.

Citation

Download Citation

M. Fabrizio. G. Gentili. J. M. Golden. "The minimum free energy for a class of compressible viscoelastic fluids." Adv. Differential Equations 7 (3) 319 - 342, 2002. https://doi.org/10.57262/ade/1356651828

Information

Published: 2002
First available in Project Euclid: 27 December 2012

zbMATH: 1032.76060
MathSciNet: MR1867690
Digital Object Identifier: 10.57262/ade/1356651828

Subjects:
Primary: 76A10
Secondary: 35Q30 , 76D10 , 76N10

Rights: Copyright © 2002 Khayyam Publishing, Inc.

JOURNAL ARTICLE
24 PAGES


SHARE
Vol.7 • No. 3 • 2002
Back to Top