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

Peter Constantin, Jiahong Wu, Jiefeng Zhao, Yi Zhu

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
JournalJournal of Evolution Equations
DOIs
StateAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

Keywords

  • Complex fluid
  • Dissipation
  • Global existence
  • Nonlinear stability
  • Oldroyd-B
  • Reynolds number
  • Weissenberg number

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