49 citations · 111 across the 8 of their papers we have counts for
9 papers
Well-posedness of anisotropic and homogeneous solutions to the Einstein-Boltzmann system with a conformal-gauge singularity
Ho Lee, Ernesto Nungesser, John Stalker +1
We consider the Einstein-Boltzmann system for massless particles in the Bianchi I space-time with scattering cross-sections in a certain range of soft potentials. We assume that th…
On almost Ehlers-Geren-Sachs theorems
Ho Lee, Ernesto Nungesser, John Stalker
We show assuming small data that massless solutions to the reflection symmetric Einstein-Vlasov system with Bianchi VII symmetry which are not locally rotational symmetric, can…
Almost Finite Speed of Propagation for Linear Peridynamics
John Stalker
The peridynamic analogue of the wave equation does not have finite speed propogation. We show, for one dimensional linear peridynamics, that solutions do nonetheless satisfy estima…
A lower bound for the amplitude of traveling waves of suspension bridges
Paschalis Karageorgis, John Stalker
We obtain a lower bound for the amplitude of nonzero homoclinic traveling wave solutions of the McKenna--Walter suspension bridge model. As a consequence of our lower bound, all no…
Sharp bounds on 2m/r for static spherical objects
Paschalis Karageorgis, John G. Stalker
Sharp bounds are obtained, under a variety of assumptions on the eigenvalues of the Einstein tensor, for the ratio of the Hawking mass to the areal radius in static, spherically sy…
A Compactness Criterion for Real Plane Algebraic Curves
John Stalker
Two sets of conditions are presented for the compactness of a real plane algebraic curve, one sufficient and one necessary, in terms of the Newton polygon of the defining polynomia…