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1997 Free energy and domain of dependence for weakly compressible viscoelastic fluids
Giorgio Gentili
Differential Integral Equations 10(4): 757-776 (1997).

Abstract

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.

Citation

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Giorgio Gentili. "Free energy and domain of dependence for weakly compressible viscoelastic fluids." Differential Integral Equations 10 (4) 757 - 776, 1997.

Information

Published: 1997
First available in Project Euclid: 1 May 2013

zbMATH: 0890.35010
MathSciNet: MR1741771

Subjects:
Primary: 76A10
Secondary: 35Q35, 76N99

Rights: Copyright © 1997 Khayyam Publishing, Inc.

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Vol.10 • No. 4 • 1997
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