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

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 ≥ 1 2 in the added str...

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Veröffentlicht in:Journal of evolution equations 2021-09, Vol.21 (3), p.2787-2806
Hauptverfasser: Constantin, Peter, Wu, Jiahong, Zhao, Jiefeng, Zhu, Yi
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Fluid flow
High Reynolds number
Mathematics
Mathematics and Statistics
Reynolds number
Tensors
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Zusammenfassung: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 ≥ 1 2 in the added stress.
ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-020-00616-8