48 citations · 76 across the 7 of their papers we have counts for
9 papers
Algebra, Geometry and Topology of ERK Kinetics
Lewis Marsh, Emilie Dufresne, Helen M. Byrne +1
The MEK/ERK signalling pathway is involved in cell division, cell specialisation, survival and cell death. Here we study a polynomial dynamical system describing the dynamics of ME…
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 well-posedness for the 2D Muskat problem with slope less than 1
Stephen Cameron
We prove the existence of global, smooth solutions to the 2D Muskat problem in the stable regime whenever the product of the maximal and minimal slopes is strictly less than 1. The…