4 papers
Well-posedness of stochastic reacting particle systems with non-local and Lennard-Jones interactions
Daniela Morale, Giulia Rui, Stefania Ugolini
We establish well-posedness results for systems of a finite number of stochastic particles driven by independent Brownian motions and subject to a strongly singular drift induced b…
Lack of uniqueness for an elliptic equation with nonlinear and nonlocal drift posed on a torus
Adrian Muntean, Giulia Rui
We study a nonlinear and nonlocal elliptic equation posed on the flat torus. While constant solutions always exist, we show that uniqueness fails in general. Using spectral analysi…
Strong solutions to singular SDEs and application to the Lennard-Jones potential
Daniela Morale, Giulia Rui, Stefania Ugolini
We prove existence and uniqueness of strong solutions to a large class of autonomous stochastic differential equations on an open domain, where the drift exhibits a singular behavi…
A hybrid model of sulphation reactions: stochastic particles in a random continuum environment
Nicklas Jävergård, Daniela Morale, Giulia Rui +2
We present a hybrid stochastic-continuum model to study the sulphation of calcium carbonate and the consequent formation of gypsum, a key phenomenon driving marble deterioration. W…