3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2024
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…