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
Giorgio Gentili. "Free energy and domain of dependence for weakly compressible viscoelastic fluids." Differential Integral Equations 10 (4) 757 - 776, 1997. https://doi.org/10.57262/die/1367438640
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