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

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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