Scientific Publications


  • D. Morale, G. Rui, S. Ugolini, Well-posedness of stochastic reacting particle systems with non-local and Lennard-Jones interactions , arXiv:2602.13089, (2026)
  • D. Morale, L. Tarquini, S. Ugolini , Path-dependent McKean PDEs with reaction: a discussion on probabilistic interpretations and particle approximations, arXiv:2602.07255 (2026)
  • E.M. Greco, D. Morale, Integrability properties and stochastic McKean-Vlasov dynamics with singular Lennard-Jones drift: a mesoscale regularization, arXiv:2601.22102 (2026)
  • D. Morale, G. Rui, S. Ugolini, Strong solutions to singular SDEs and application to the Lennard-Jones potential, arXiv:2508.03205, (2025)
  • D. Morale, L. Tarquini, S. Ugolini, A probabilistic interpretation of a non-conservative and path-dependent nonlinear reaction-diffusion system.,   arXiv:2407.19301, (2025)

  • D. Morale, L. Tarquini, S. Ugolini , Killed path-dependent McKean-Vlasov SDEs for a probabilistic representation of non-conservative McKean PDEs, Stochastics and Dynamics, (to be published), (2026), arXiv,
  • N.Jävergård, D. Morale, G. Rui, A.Muntean, S. Ugolini, A hybrid model of sulphation reactions: stochastic particles in a random continuum environment, Applied Mathematics in Science and Engineering. DOI (2026), ArXiv
  • M. Maurelli, D. Morale, S. Ugolini , Well-posedness of a reaction-diffusion model with stochastic dynamical boundary conditions, Stochastic Process and Their Applications, 186, p..104646, Doi: 10.1016/j.spa.2025.104646 (2025), Arxiv