arXiv subjects

Penny Smith

Publications and source records attributed to Penny Smith.

4 recordsLinked to original sources

arXiv2020

Removability of a codimension four singular set for solutions of a yang mills higgs equation with small energy

We develop a new method for proving regularity for small energy stationary solutions of coupled gauge field equations. Our results duplicate those of Tian--Tao [7] for the pure Yang Mills equations, but our proof is simpler, and obtains bounded curvature without the use of Coulomb gauges. It relies instead on the Weitzenblock formulae, and an improved Kato inequality.

math.DG↗

arXiv2018

Removable point singularities for the Yang Mills Dirac equations in two dimensions

We prove a removable singularities theorem for point singularities of the coupled yang mills fermion equations, on a bundle over a two dimensional base space.

math.AP↗

arXiv2006

Eternal Continuous Viscosity Solutions of the Einstein Cauchy Problem

This paper has been withdrawn by the author due to a serious flaw that needs to be fixed. That is in progress by the author.

math.DG↗

arXiv2006

Immortal Smooth Solution of the Three Space Dimensional Navier-Stokes System

This paper is being withdrawn by the author due a serious flaw.

math.DG↗