3 papers
cs.LG2026
Neural-Schwarz Tiling for Geometry-Universal PDE Solving at Scale
Paolo Secchi, Daniel S. Balint, Marco Maurizi
Most learned PDE solvers follow a global-surrogate paradigm: a neural operator is trained to map full problem descriptions to full solution fields for a prescribed distribution of…
math.AP2026
Stability and existence of relativistic plasma--vacuum interfaces
Paolo Secchi, Yuri Trakhinin, Tao Wang
We consider the free boundary problem for relativistic plasma--vacuum interfaces in two and three spatial dimensions. The plasma flow is governed by the equations of ideal relativi…
math.AP2024
A note on Ideal Magneto-Hydrodynamics with perfectly conducting boundary conditions in the quarter space
Paolo Secchi
We consider the initial-boundary value problem in the quarter space for the system of equations of ideal Magneto-Hydrodynamics for compressible fluids with perfectly conducting wal…