Research interests

• Stochastic fluid dynamic models and energy cascade transfer.
• Girsanov measure transform on infinite differential systems.
• Regularity for hyperdissipative Navier-Stokes equation and Leray-α model.

Papers in Press or Submitted for Publication

Publications

• [18]  L. Andreis, D. Barbato, F. Collet, M. Formentin, L. Provenzano Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model Nonlinearity 29 (2016), 1156-1169. [  published version - arXiv ]
• [17]  D. Barbato, F. Morandin, M. Romito Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system Analysis and PDE. Vol. 7 (2014), No. 8 2009-2027 [  published version - arXiv ]
• [16]  D. Barbato, F. Morandin, M. Romito Global regularity for a logarithmically supercritical hyperdissipative dyadic equation Dynamics of Partial Differential Equations.11.1 (2014), 39-52. [  published version - arXiv ]
• [15]  D. Barbato, H. Bessaih, B. Ferrario On a stochastic Leray-α model of Euler equation Stochastic Processes and their Applications.124 (2014), 199-219. [  published version - arXiv ]
• [14]  D. Barbato, F. Morandin Stochastic inviscid shell models: well-posedness and anomalous dissipation Nonlinearity 26 (2013), 1919-1943. [  published version - arXiv ]
• [13]  D. Barbato, L.A. Bianchi, F. Flandoli, F. Morandin A dyadic model on a tree Journal of Mathematical Physics 54 (2013), 021507. [  published version - arXiv ]
• [12]  D. Barbato, F. Morandin Positive and non-positive solutions for an inviscid dyadic model: well-posedness and regularity NoDEA : Nonlinear Differential Equations and Applications 20 (2013), 1105-1123. [  published version - arXiv ]
• [11]  D. Barbato, F. Flandoli, F. Morandin Anomalous dissipation in a stochastic inviscid dyadic model Annals of Applied Probability 21 (2011), 2424-2446. [  published version - arXiv  ]
• [10]  D. Barbato, F. Morandin, M. Romito Smooth solutions for the dyadic model Nonlinearity 24 (2011), 3083-3097. [  published version (PDF)  ]
• [9]  D. Barbato, F. Flandoli, F. Morandin Energy dissipation and self-similar solutions for an unforced inviscid dyadic model Transactions of the American Mathematical Society 363 (2011), 1925-1946. [  published version (PDF)  ]
• [8]  D. Barbato, F. Flandoli, F. Morandin Uniqueness for a stochastic inviscid dyadic model Proceedings of the American Mathematical Society 138 (2010), 2607-2617. [  published version (PDF)  ]
• [7]  D. Barbato, F. Flandoli, F. Morandin A theorem of uniqueness for an inviscid dyadic model | [Un théorème d'unicité pour un modèle dyadique non visqueux] Comptes Rendus Mathematique 348 (2010), 525-528. [  published version  ]
• [6]  M. Barsanti, P. Papale, D. Barbato, R. Moretti, E. Boschi, E. Hauri, A. Longo Heterogeneous large total CO2 abundance in the shallow magmatic system of Kilauea volcano, Hawaii Journal of Geophysical Research B: Solid Earth 114 (2009), B12201 1-7. [  published version (PDF)  ]
• [5]  A. Longo, D. Barbato, P. Papale, G. Saccorotti, M. Barsanti Numerical simulation of the dynamics of fluid oscillations in a gravitationally unstable, compositionally stratified fissure Geological Society Special Publication 307 (2008), 33-44. [  published version (PDF)  ]
• [4]  D. Barbato, L.C. Berselli, C.R. Grisanti Analytical and numerical results for the Rational Large Eddy Simulation model Journal of Mathematical Fluid Mechanics 9 (2007), 44-74. [  published version (PDF)  ]
• [3]  D. Barbato, M. Barsanti, H. Bessaih, F. Flandoli Some rigorous results on a stochastic GOY model Journal of Statistical Physics 125 (2006), 673-712. [  published version (PDF)  ]
• [2]  P. Papale, R. Moretti, D. Barbato The compositional dependence of the saturation surface of H 2O + CO 2 fluids in silicate melts Chemical Geology 229 (2006), 78-95. [  published version  ]
• [1]  D. Barbato FKG inequality for Brownian motion and Stochastic Differential Equations Electron. Comm. Probab. 10 (2005), 7-16. [ published version (PDF)  ]