Benjamin C. Pooley

activity

20142019

most citedLeray's fundamental work on the Navier-Stokes equations: a modern review of "Sur le mouvement d'un liquide visqueux emplissant l'espace"

24 citations · 31 across the 5 of their papers we have counts for

collaborators

Showing 2019Show all

2 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 $h \in (1, 2]$ , we give an explicit construction of a compactly supported, uniformly continuous, and (weakly) divergence-free velocity field in $R^{2}$ 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 $(- Δ)^{- α /2}$ to the non-locality in the Biot-Savart kernel together with a mollification (with par…