258 citations · 2.3k across the 46 of their papers we have counts for
47 papers
Future global stability of Maxwell-Jüttner equilibria and vacuum for the massless Boltzmann equation on FLRW spacetimes
Robert M. Strain, Martin Taylor, Renato Velozo Ruiz
In this work we study the general relativistic massless Boltzmann equation on Friedmann-Lemaître-Robertson-Walker spacetimes with spatial topology in the linear and…
The 3D kinetic Couette flow via the Boltzmann equation in the diffusive limit
Renjun Duan, Shuangqian Liu, Robert M. Strain +1
In the paper we study the Boltzmann equation in the diffusive limit in a channel domain for the 3D kinetic Couette flow. Our results demonstrate that th…
On Nonlinear Stability of Muskat Bubbles
Francisco Gancedo, Eduardo García-Juárez, Neel Patel +1
In this paper we consider gravity-capillarity Muskat bubbles in 2D. We obtain a new approach to improve our result in [25]. Due to a new bubble-adapted formulation, the improvement…
Well-Posedness of the 3D Peskin Problem
Eduardo García-Juárez, Po-Chun Kuo, Yoichiro Mori +1
This paper introduces the 3D Peskin problem: a two-dimensional elastic membrane immersed in a three-dimensional steady Stokes flow. We obtain the equations that model this free bou…
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…
Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus
Jin Woo Jang, Robert M. Strain, Tak Kwong Wong
Although the nuclear fusion process has received a great deal of attention in recent years, the amount of mathematical analysis that supports the stability of the system seems to b…