139 citations · 562 across the 42 of their papers we have counts for
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A brief summary of nonlinear echoes and Landau damping
Jacob Bedrossian
In this expository note we review some recent results on Landau damping in the nonlinear Vlasov equations, focusing specifically on the recent construction of nonlinear echo soluti…
Stability of the Couette flow at high Reynolds number in 2D and 3D
Jacob Bedrossian, Pierre Germain, Nader Masmoudi
We review works on the asymptotic stability of the Couette flow. The majority of the paper is aimed towards a wide range of applied mathematicians with an additional section aimed…
Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations
Jacob Bedrossian, Michele Coti Zelati, Vlad Vicol
Coherent vortices are often observed to persist for long times in turbulent 2D flows even at very high Reynolds numbers and are observed in experiments and computer simulations to…
Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation
Jacob Bedrossian
In this paper, we study Landau damping in the weakly collisional limit of a Vlasov-Fokker-Planck equation with nonlinear collisions in the phase-space $(x,v) \in \mathbb T_x^n \tim…