论文标题

高雷诺数和高魏森伯格数字oldroyd-b模型

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

论文作者

Constantin, Peter, Wu, Jiahong, Zhao, Jiefeng, Zhu, Yi

论文摘要

对于不可压缩的Oldroyd-B模型,我们给出了一个小数据的全球供应结果,并在应力张量方程中具有波数耗散。结果在溶剂雷诺数中是均匀的,并且仅需要分数波数依赖性耗散$(-Δ)^β$,$β\ ge \ ge \ frac {1} {2} {2} {2} {2} $在附加的压力中。

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 $(-Δ)^β$, $β\ge \frac{1}{2}$ in the added stress.

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