18 citations · 23 across the 3 of their papers we have counts for
5 papers · 1 filter
Eventual regularization for the 3D Muskat problem: Lipschitz for finite time implies global existence
Stephen Cameron
We show that for any fixed Lipschitz constant , there is a time depending only on such that if is a classical solution…
Global wellposedness for the 3D Muskat problem with medium size slope
Stephen Cameron
We prove the existence and uniqueness of global, classical solutions to the 3D Muskat problem in the stable regime whenever the initial interface has sublinear growth and slope $||…
Velocity Decay Estimates for Boltzmann equation with hard potentials
Stephen Cameron, Stanley Snelson
We establish pointwise polynomial decay estimates in velocity space for the spatially inhomogeneous Boltzmann equation without cutoff, in the case of hard potentials (),…
Eventual Regularization of Fractional Mean Curvature Flow
Stephen Cameron
We show that any open set that is a finite distance away from a Lipschitz subgraph will become a Lipschitz subgraph after flowing under fractional mean curvature flow for a finite,…
Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials
Stephen Cameron, Luis Silvestre, Stanley Snelson
We establish a priori upper bounds for solutions to the spatially inhomogeneous Landau equation in the case of moderately soft potentials, with arbitrary initial data, under the as…