8 citations · 13 across the 8 of their papers we have counts for
10 papers
Dispersive estimates for a system of tensorial quasilinear wave equations satisfying the weak-null condition
Sari Ghanem
We establish both global existence and decay properties for solutions with small data for a general class of coupled system of tensorial quasilinear hyperbolic wave equations in th…
Decoupled energy estimates for tensorial non-linear wave equations and applications
Sari Ghanem
We prove energy estimates for solutions to a tensorial system of coupled non-linear wave equations, in a way that is suitable to deal with the structure of the non-linearity that a…
Overview of the proof of the exterior stability of the -Minkowski space-time governed by the Einstein-Yang-Mills system in the Lorenz gauge
Sari Ghanem
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 , associated to any comp…
Energy estimates for the Einstein-Yang-Mills fields and applications
Sari Ghanem
We prove exterior energy estimates for tensorial non-linear wave equations, where the background metric is a perturbation of the Minkowski space-time, and where the derivatives are…
Exterior stability of the -dimensional Minkowski space-time solution to the Einstein-Yang-Mills equations
Sari Ghanem
We prove the exterior stability of the Minkowski space-time, , solution to the Einstein-Yang-Mills system in both the Lorenz and harmonic gauges, where the Yang-M…
The global stability of the Minkowski space-time solution to the Einstein-Yang-Mills equations in higher dimensions
Sari Ghanem
This is a first in a series of papers in which we study the stability of the -Minkowski space-time, for , solution to the Einstein-Yang-Mills equations, in both th…
The decay of the Yang-Mills fields on the Schwarzschild black hole for spherically symmetric small energy initial data
Sari Ghanem, Dietrich Häfner
We prove uniform decay estimates in the entire exterior of the Schwarzschild black hole for gauge invariant norms on the Yang-Mills fields valued in the Lie algebra associated to t…
On uniform decay of the Maxwell fields on black hole space-times
Sari Ghanem
This is the second in a series of papers in which we take a systematic study of gauge field theories such as the Maxwell equations and the Yang-Mills equations, on curved space-tim…
Global regularity for the critical 2-D dissipative quasi-geostrophic equation with force
Sari Ghanem
This is a remark that by using an adaptation of the technique invented by A. Kiselev, F. Nazarov, and A. Voldberg, with a modified scaling argument, we can prove global regularity…
The global existence of Yang-Mills fields on curved space-times
Sari Ghanem
This is an introductory chapter in a series in which we take a systematic study of the Yang-Mills equations on curved space-times. In this first, we provide standard material that…