139 citations · 562 across the 42 of their papers we have counts for
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Suppression of blow-up in Patlak-Keller-Segel via shear flows
Jacob Bedrossian, Siming He
In this paper we consider the parabolic-elliptic Patlak-Keller-Segel models in with with the additional effect of advection by a large shear flow. Without the…
Nonlinear echoes and Landau damping with insufficient regularity
Jacob Bedrossian
We prove that the theorem of Mouhot and Villani on Landau damping near equilibrium for the Vlasov-Poisson equations on cannot, in general, be ext…
Landau damping in finite regularity for unconfined systems with screened interactions
Jacob Bedrossian, Nader Masmoudi, Clement Mouhot
We prove Landau damping for the collisionless Vlasov equation with a class of interaction potentials (including the physical case of screened Coulomb interactions) on $\mathb…
The Sobolev stability threshold for 2D shear flows near Couette
Jacob Bedrossian, Vlad Vicol, Fei Wang
We consider the 2D Navier-Stokes equation on , with initial datum that is -close in to a shear flow , where $\| U(y) - y\|_…