69 citations · 200 across the 12 of their papers we have counts for
19 papers
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…
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…
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…
The Incompressible Limit of the Equations of Compressible Ideal Magneto-Hydrodynamics with perfectly conducting boundary
Paolo Secchi
We consider the initial-boundary value problem in the halfspace for the system of equations of ideal Magneto-Hydrodynamics with a perfectly conducting wall boundary condition. We s…
Nonlinear stability and existence of two-dimensional compressible current-vortex sheets
Alessandro Morando, Paolo Secchi, Paola Trebeschi +1
We are concerned with nonlinear stability and existence of two-dimensional current-vortex sheets in ideal compressible magnetohydrodynamics. This is a nonlinear hyperbolic initial-…
Anisotropic regularity of linearized compressible vortex sheets
Paolo Secchi
We are concerned with supersonic vortex sheets for the Euler equations of compressible inviscid fluids in two space dimensions. For the problem with constant coefficients, in [10]…