1 citations · 1 across the 4 of their papers we have counts for
8 papers · 1 filter
Large time well posedness for a Dirac--Klein-Gordon system
Federico Cacciafesta, Anne-Sophie de Suzzoni, Long Meng +1
In this paper we prove well posedness for a system coupling a nonlinear Dirac with a Klein-Gordon equation that represents a toy model for the Helium atom with relativistic correct…
Singularities in the weak turbulence regime for the quintic Schrödinger equation
Anne-Sophie de Suzzoni
In this paper, we discuss the problem of derivation of kinetic equations from the theory of weak turbulence for the quintic Schrödinger equation. We study the quintic Schrödinger e…
Strichartz estimates for the Klein-Gordon equation in a conical singular space
Jonathan Ben-Artzi, Federico Cacciafesta, Anne-Sophie de Suzzoni +1
Consider a conical singular space with the metric , where the cross section is a compact -dimensional closed Riemanni…
Stability of Steady States for Hartree and Schrodinger Equations for Infinitely Many Particles
Charles Collot, Anne-Sophie de Suzzoni
We prove a scattering result near certain steady states for a Hartree equation for a random field. This equation describes the evolution of a system of infinitely many particles. I…
Strichartz estimates for the Dirac equation on spherically symmetric spaces
Federico Cacciafesta, Anne-Sophie de Suzzoni
We prove local in time Strichartz estimates for the Dirac equation on spherically symmetric manifolds. As an application, we give a result of local well-posedness for some nonlinea…
Stability of equilibria for a Hartree equation for random fields
Charles Collot, Anne-Sophie de Suzzoni
We consider a Hartree equation for a random variable, which describes the temporal evolution of infinitely many Fermions. On the Euclidean space, this equation possesses equilibria…