4 papers · 1 filter
Integrability properties and stochastic McKean-Vlasov dynamics with singular Lennard-Jones drift: a mesoscale regularization
Ernesto M. Greco, Daniela Morale
We study the convergence of the empirical measure of moderately interacting particle systems subject to singular forces derived by Lennard-Jones potential. Although the classical L…
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…
Killed path-dependent McKean-Vlasov SDEs for a probabilistic representation of non-conservative McKean PDEs
Daniela Morale, Leonardo Tarquini, Stefania Ugolini
A McKean-Vlasov stochastic differential equation subject to killing associated to a regularised non-conservative and path-dependent nonlinear parabolic partial differential equatio…
Discrete reaction-diffusion system with stochastic dynamical boundary conditions: convergence results
Francesca Arceci, Francesco Carlo De Vecchi, Daniela Morale +1
A space discrete approximation to a highly nonlinear reaction-diffusion system endowed with a stochastic dynamical boundary condition is analyzed and the convergence of the discret…