5 citations · 10 across the 5 of their papers we have counts for
6 papers · 1 filter
Landau damping, collisionless limit, and stability threshold for the Vlasov-Poisson equation with nonlinear Fokker-Planck collisions
Jacob Bedrossian, Weiren Zhao, Ruizhao Zi
In this paper, we study the Vlasov-Poisson-Fokker-Planck (VPFP) equation with a small collision frequency , exploring the interplay between the regularity and size of p…
Stability threshold of nearly-Couette shear flows with Navier boundary conditions in 2D
Jacob Bedrossian, Siming He, Sameer Iyer +1
In this work, we prove a threshold theorem for the 2D Navier-Stokes equations posed on the periodic channel, , supplemented with Navier boundary condition…
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…
Large mass global solutions for a class of L1-critical nonlocal aggregation equations and parabolic-elliptic Patlak-Keller-Segel models
Jacob Bedrossian
We consider a class of critical nonlocal aggregation equations with linear or nonlinear porous media-type diffusion which are characterized by a long-range interaction potent…
Global Minimizers for Free Energies of Subcritical Aggregation Equations with Degenerate Diffusion
Jacob Bedrossian
We prove the existence of non-trivial global minimizers of a class of free energies related to aggregation equations with degenerate diffusion on $\Real^d$. Such equations arise in…
Intermediate asymptotics for critical and supercritical aggregation equations and Patlak-Keller-Segel models
Jacob Bedrossian
We examine the long-term asymptotic behavior of dissipating solutions to aggregation equations and Patlak-Keller-Segel models with degenerate power-law and linear diffusion. The pu…