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This paper explores the analogy between viscoelastic fluids and magnetohydrodynamic (MHD) fluids, specifically focusing on the instabilities of differentially rotating flows. It demonstrates that the dynamics of the Oldroyd-B fluid in the large Deborah number limit parallels that of an MHD fluid in the large magnetic Reynolds number limit, with a unique instability in viscoelastic fluids that corresponds to the magnetorotational instability in MHD. The study aims to highlight the mathematical and physical s

Author

julianist2007

Language

EN