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math.DS2021★ 5 cited
Statistical Properties of 2D Stochastic Navier-Stokes Equations with Time-Periodic Forcing and Degenerate Stochastic Forcing
Rongchang Liu, Kening Lu
We consider the incompressible 2D Navier-Stokes equations with periodic boundary conditions driven by a deterministic time periodic forcing and a degenerate stochastic forcing. We…
math.DS2017
Geometric properties of minimizers in the planar three-body problem with two equal masses
Wentian Kuang, Duokui Yan
It it shown that each lobe of the figure-eight orbit is star-shaped, which implies the polar angle is monotone in each lobe. In general, it is not clear when a minimizer is star-sh…