Differential and Integral Equations

Free energy and domain of dependence for weakly compressible viscoelastic fluids

Giorgio Gentili

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


We study the linear behavior of a weakly compressible viscoelastic fluid. Within an approximate theory of thermodynamics, compatible with the model, we construct the maximal free energy $\psi_M$ that is shown to induce a ``natural" norm $\Vert\cdot\Vert_M$ on the space state for such a fluid. Successively, since the stress $\mathbf{T}$ turns out to be continuous with respect to $\Vert\cdot\Vert_M$, we employ $\psi_M$ to obtain some stability and domain of dependence results.

Article information

Differential Integral Equations, Volume 10, Number 4 (1997), 757-776.

First available in Project Euclid: 1 May 2013

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 76A10: Viscoelastic fluids
Secondary: 35Q35: PDEs in connection with fluid mechanics 76N99: None of the above, but in this section


Gentili, Giorgio. Free energy and domain of dependence for weakly compressible viscoelastic fluids. Differential Integral Equations 10 (1997), no. 4, 757--776. https://projecteuclid.org/euclid.die/1367438640

Export citation