32 citations · 142 across the 27 of their papers we have counts for
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Rate of the enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere
Yasunori Maekawa, Tatsu-Hiko Miura
We study the enhanced dissipation for the two-jet Kolmogorov type flow which is a stationary solution to the Navier-Stokes equations on the two-dimensional unit sphere given by the…
Optimal thresholds for preserving embeddedness of elastic flows
Tatsuya Miura, Marius Müller, Fabian Rupp
We consider elastic flows of closed curves in Euclidean space. We obtain optimal energy thresholds below which elastic flows preserve embeddedness of initial curves for all time. T…
Linear stability and enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere
Tatsu-Hiko Miura
We consider the Navier-Stokes equations on the two-dimensional unit sphere and study the linear stability of the two-jet Kolmogorov type flow which is a stationary solution given b…
Li-Yau type inequality for curves in any codimension
Tatsuya Miura
For immersed curves in Euclidean space of any codimension we establish a Li--Yau type inequality that gives a lower bound of the (normalized) bending energy in terms of multiplicit…