3 papers
math.AP2025
Level sets of solutions to the stationary Hamilton-Jacobi equation are John regular
Elisa Davoli, Ulisse Stefanelli
Let be the unique nonnegative viscosity solution of the Hamilton-Jacobi equation in the external domain with on . Unde…
math.PR2025
Weak stability by noise for approximations of doubly nonlinear evolution equations
Carlo Orrieri, Luca Scarpa, Ulisse Stefanelli
Doubly nonlinear stochastic evolution equations are considered. Upon assuming the additive noise to be rough enough, we prove the existence of probabilistically weak solutions of F…
math.AP2025
Viscoelasticity and accretive phase-change at finite strains
Andrea Chiesa, Ulisse Stefanelli
We investigate the evolution of a two-phase viscoelastic material at finite strains. The phase evolution is assumed to be irreversible: One phase accretes in time in its normal dir…