128 citations · 192 across the 14 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.AP2019★ 3 cited
Non-conservation of dimension in divergence-free solutions of passive and active scalar systems
Charles L. Fefferman, Benjamin C. Pooley, José L. Rodrigo
For any , we give an explicit construction of a compactly supported, uniformly continuous, and (weakly) divergence-free velocity field in that weakly adve…
math.AP2019
Asymptotics for vortex filaments using a modified Biot-Savart kernel
Benjamin C. Pooley, José L. Rodrigo
We consider a family of approximations to the Euler equations obtained by adding to the non-locality in the Biot-Savart kernel together with a mollification (with par…
math.AP2019★ 14 cited
On the singularity formation and relaxation to equilibrium in 1D Fokker-Planck model with superlinear drift
José A. Carrillo, Katharina Hopf, José L. Rodrigo
We consider a class of Fokker--Planck equations with linear diffusion and superlinear drift enjoying a formal Wasserstein-like gradient flow structure with convex mobility function…