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。