@article{999e781db86d4901a8efe8d0cb384dc2,
title = "High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation",
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≥12 in the added stress.",
keywords = "Complex fluid, Dissipation, Global existence, Nonlinear stability, Oldroyd-B, Reynolds number, Weissenberg number",
author = "Peter Constantin and Jiahong Wu and Jiefeng Zhao and Yi Zhu",
note = "Funding Information: The work of PC was partially supported by NSF Grant DMS-1713985 and by the Simons Center for Hidden symmetries and Fusion Energy. The work of JW was partially supported by NSF Grant DMS-1624146 and the AT&T Foundation at Oklahoma State University. The work of JZ was partially supported by the National Natural Science Foundation of China (No.11901165). The work of YZ was partially supported by the National Natural Science Foundation of China (No. 11801175). Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",
year = "2021",
month = sep,
doi = "10.1007/s00028-020-00616-8",
language = "English (US)",
volume = "21",
pages = "2787--2806",
journal = "Journal of Evolution Equations",
issn = "1424-3199",
publisher = "Birkhauser Verlag Basel",
number = "3",
}