18 citations · 53 across the 8 of their papers we have counts for
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math.AP2016★ 2 cited
Hölder estimates for fractional parabolic equations with critical divergence free drifts
Matias G. Delgadino, Scott Smith
This work focuses on drift-diffusion equations with fractional dissipation in the regime . Our main result is an a priori Hölder estimate on smooth solutions…
math.PR2016★ 14 cited
On the Boltzmann Equation with Stochastic Kinetic Transport: Global Existence of Renormalized Martingale Solutions
Samuel Punshon-Smith, Scott Smith
This article studies the Cauchy problem for the Boltzmann equation with stochastic kinetic transport. Under a cut-off assumption on the collision kernel and a coloring hypothesis f…