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1. Confined Rayleigh-Taylor instability

   https://doi.org/10.1103/PhysRevFluids.7.110504  

   Alqatari, Samar; Videbæk, Thomas E.; Nagel, Sidney R.; Hosoi, Anette; Bischofberger, Irmgard (November 2022, Physical Review Fluids)
2. TaSIL: Taylor Series Imitation Learning

   Pfrommer, Daniel; Zhang, Thomas TCK; Tu, Stephen; Matni, Nikolai (January 2022, Conference on Neural Information Processing Systems)
3. Polyelectrolyte solutions in Taylor-Couette flows

   https://doi.org/10.1016/j.jnnfm.2021.104617  

   Panwar, Vishal; Metaxas, Athena E.; Dutcher, Cari S. (September 2021, Journal of Non-Newtonian Fluid Mechanics)
4. Taylor–Couette flow for astrophysical purposes

   https://doi.org/10.1098/rsta.2022.0119  

   Ji, H.; Goodman, J. (May 2023, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences)

   A concise review is given of astrophysically motivated experimental and theoretical research on Taylor–Couette flow. The flows of interest rotate differentially with the inner cylinder faster than the outer, but are linearly stable against Rayleigh’s inviscid centrifugal instability. At shear Reynolds numbers as large as 10 6 , hydrodynamic flows of this type (quasi-Keplerian) appear to be nonlinearly stable: no turbulence is seen that cannot be attributed to interaction with the axial boundaries, rather than the radial shear itself. Direct numerical simulations agree, although they cannot yet reach such high Reynolds numbers. This result indicates that accretion-disc turbulence is not purely hydrodynamic in origin, at least insofar as it is driven by radial shear. Theory, however, predicts linear magnetohydrodynamic (MHD) instabilities in astrophysical discs: in particular, the standard magnetorotational instability (SMRI). MHD Taylor–Couette experiments aimed at SMRI are challenged by the low magnetic Prandtl numbers of liquid metals. High fluid Reynolds numbers and careful control of the axial boundaries are required. The quest for laboratory SMRI has been rewarded with the discovery of some interesting inductionless cousins of SMRI, and with the recently reported success in demonstrating SMRI itself using conducting axial boundaries. Some outstanding questions and near-future prospects are discussed, especially in connection with astrophysics. This article is part of the theme issue ‘Taylor–Couette and related flows on the centennial of Taylor’s seminal Philosophical Transactions paper (part 2)’. 

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5. Submodular Maximization via Taylor Series Approximation

   https://doi.org/10.1137/1.9781611976700.48  

   Özcan, Gözde; Moharrer, Armin; Ioannidis, Stratis (January 2021, Proceedings of the SIAM International Conference on Data Mining)

   We study submodular maximization problems with matroid constraints, in particular, problems where the objective can be expressed via compositions of analytic and multilinear functions. We show that for functions of this form, the so-called continuous greedy algorithm attains a ratio arbitrarily close to (1 – 1/e) ≈ 0.63 using a deterministic estimation via Taylor series approximation. This drastically reduces execution time over prior art that uses sampling. 

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