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arXiv · 2001.03703

High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation

Peter Constantin·Jiahong Wu·Jiefeng Zhao·Yi Zhu
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Abstract

We give a small data global well-posedness result for an incompressible Oldroyd-B model with wave number dissipation in the equation of stress tensor. The result is uniform in solvent Reynolds numbers, and requires only fractional wave-number dependent dissipation $(-\Delta)^{\beta}$, $\beta \ge \frac{1}{2}$ in the added stress.

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Peter Constantin, Jiahong Wu, Jiefeng Zhao, Yi Zhu. 2020-01-11. High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation. https://arxiv.org/abs/2001.03703

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