Abstract We consider the Yang-Mills equations in (1+ d)-dimensional Minkowski spacetime.
It is known that in the supercritical case, ie, for d≥ 5, these equations admit closed form …

This paper is concerned with the Cauchy problem for an energy-supercritical nonlinear
wave equation in odd space dimensions that arises in equivariant Yang-Mills theory. In each …

We prove that the Yang–Mills equations in the Lorenz gauge (YM-LG) is locally well-posed
for data below the energy norm, in particular, we can take data for the gauge potential A and …

We study solutions to the Yang–Mills–Higgs equations on the maximal Cauchy development
of the data given on a ball of radius R in R 3. The energy of the data could be infinite and the …

We study the Einstein-Yang-Mills system in both the Lorenz and harmonic gauges, where
the Yang-Mills fields are valued in any arbitrary Lie algebra $\cal G $, associated to any …

We prove the exterior stability of the Minkowski space-time, $\mathbb {R}^{1+ 3} $, solution
to the Einstein-Yang-Mills system in both the Lorenz and harmonic gauges, where the Yang …

This is a first in a series of papers in which we study the stability of the $(1+ n) $-Minkowski
space-time, for $ n\geq 3$, solution to the Einstein-Yang-Mills equations, in both the Lorenz …

In this paper, we consider the non-abelian Chern-Simons-Higgs system in the Lorenz
gauge. By exploiting the null structure of the system and using the X s, b type spaces, we …

Abstract The Yang–Mills and Yang–Mills–Higgs equations in temporal gauge are locally
well-posed for small and rough initial data, which can be shown using the null structure of …

We consider the classical Yang–Mills system coupled with a Dirac equation in 3+ 1
dimensions. Using that most of the nonlinear terms fulfill a null condition we prove local well …