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High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation
Journal of Evolution Equations ( IF 1.1 ) Pub Date : 2020-09-05 , DOI: 10.1007/s00028-020-00616-8
Peter Constantin , Jiahong Wu , Jiefeng Zhao , Yi Zhu

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.



中文翻译:

具有耗散的高雷诺数和高魏森伯格数Oldroyd-B模型

对于应力张量方程中具有波数耗散的不可压缩Oldroyd-B模型,我们给出了一个小数据的整体适定性结果。其结果是在溶剂雷诺数均匀且仅需要分数波数依赖性耗散\(( - \德尔塔)^ {\测试} \) \(\测试\ GE \压裂{1} {2} \)在增加压力。

更新日期:2020-09-07
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