13 citations · 13 across the 5 of their papers we have counts for
5 papers
Instantaneous Total Enhanced Dissipation For Very Rough Shear Flows
Marco Romito, Leonardo Roveri
This paper investigates enhanced dissipation for a passive scalar advected by "very rough" horizontal shear flows, described by an advection-diffusion equation on the 2D torus. The…
Global Optimization via Softmin Energy Minimization
Andrea Agazzi, Vittorio Carlei, Marco Romito +1
Global optimization, particularly for non-convex functions with multiple local minima, poses significant challenges for traditional gradient-based methods. While metaheuristic appr…
Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation
F. Flandoli, M. Romito
A 3D stochastic Navier-Stokes equation with a suitable non degenerate additive noise is considered. The regularity in the initial conditions of every Markov transition kernel assoc…
A probabilistic representation for the solutions to some non-linear PDEs using pruned branching trees
D. Blömker, M. Romito, R. Tribe
The solutions to a large class of semi-linear parabolic PDEs are given in terms of expectations of suitable functionals of a tree of branching particles. A sufficient, and in some…
A probabilistic representation for the vorticity of a 3D viscous fluid and for general systems of parabolic equations
B. Busnello, F. Flandoli, M. Romito
A probabilistic representation formula for general systems of linear parabolic equations, coupled only through the zero-order term, is given. On this basis, an implicit probabilist…