4 citations · 16 across the 22 of their papers we have counts for
27 papers
Global well-posedness and growth of Sobolev norms for nonlinear Dirac equations with Yukawa potential on compact manifolds
Federico Cacciafesta, Simone Mundula
In this paper we study a nonlinear Dirac equation with intrinsic Yukawa potential on compact manifolds. In dimension 2, and in dimension 2 after projection onto the positive-energy…
Strichartz estimates for the half wave/Klein-Gordon and Dirac Equations on compact manifolds without boundary
Federico Cacciafesta, Elena Danesi, Long Meng
In this paper we study Strichartz estimates for the half wave, the half Klein-Gordon and the Dirac Equations on compact manifolds without boundary, proving in particular for each o…
Strichartz estimates for the Dirac equation on asymptotically flat manifolds
Federico Cacciafesta, Anne-Sophie de Suzzoni, Long Meng
In this paper we prove Strichartz estimates for the Dirac equation on asymptotically flat manifolds. The proof combines the weak dispersive estimates proved by the first two author…
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…
Dispersive regularization for phase transitions
Federico Cacciafesta, Marta Strani, Benjamin Texier
We introduce a dispersive regularization of the compressible Euler equations in Lagrangian coordinates, in the one-dimensional torus. We assume a Van der Waals pressure law, which…
Global Strichartz estimates for the Dirac equation on symmetric spaces
Jonathan Ben-Artzi, Federico Cacciafesta, Anne-Sophie de Suzzoni +1
In this paper we study global-in-time, weighted Strichartz estimates for the Dirac equation on warped product spaces in dimension . In particular, we prove estimates for th…