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

2020/01/11 by Peter Constantin, Constantin, Peter, Jiahong Wu +5 · 1 citation
Engineering · Mathematics · #35Q35 (Secondary) #76A05 (Primary) 35B35 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2001.03703

openalex publication_date 2020/01/11 · openalex created_date 2020/01/23 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type

Cited by

• Uniform vanishing damping limit for the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion

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