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arXiv · 2603.04700

The Asymptotic Behaviour of Oldroyd-B Fluids is Almost Newtonian

Matthias Hieber·Thieu Huy Nguyen·César J. Niche·Cilon F. Perusato
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Abstract

Consider a viscoelastic fluid of Oldroyd-B type. It is shown that its stress tensor $\tau$ and its Newtonian deformation tensor $D(u)$ decay at the same rate, while the elastic part $\varepsilon=\tau-2\omega D(u)$ decays faster. As a consequence, the stress tensor of a viscoelastic fluid exhibits an almost Newtonian behaviour for large times.

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Matthias Hieber, Thieu Huy Nguyen, César J. Niche, Cilon F. Perusato. 2026-03-05. The Asymptotic Behaviour of Oldroyd-B Fluids is Almost Newtonian. https://arxiv.org/abs/2603.04700

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