• Z. Brzezniak, B. Ferrario, M. Zanella
Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation, Nonlinearity 37 (2024), no.1, 015001. DOI 10.1088/1361-6544/ad0f3a
•B. Ferrario, M. Zanella
Uniqueness of the invariant measure and asymptotic stability for the 2D Navier-Stokes equations with multiplicative noise, Discrete and Continuous Dynamical Systems 44 (2024), no.1, 228-262.
•B. Ferrario, F. Flandoli
Hydrodynamic models, Proceedings of the Conference ''Quantum and Stochastic Mathematical Physics'', vol 377, Springer (2023), 247-268.
•Z. Brzezniak, B. Ferrario, M. Zanella
Ergodic results for the stochastic nonlinear Schrödinger equation with large damping, J. Evol. Equations 23 no.1 (2023), paper 19, 31 pages
• B. Ferrario
On 2D Eulerian limits à la Kuksin, J. Differential Equations 342 (2023), 1-20.
• D. Barbato, H. Bessaih, L.A. Bianchi, B. Ferrario, M. Romito
Special Issue for Recent Trends in SPDEs and Stochastic Analysis (In Honor of Franco Flandoli's 60th Birthday) Preface, Stochastics and Dynamics 20 (2020), no.6, 2002001 (4 pages). DOI 10.1142/S0219493720020013
• H. Bessaih, B. Ferrario
Invariant measures for stochastic damped 2D Euler equations, Commun. Math. Phys. 377 (2020), 531-549. DOI 10.1007/s00220-020-03714-3
•B. Ferrario, C. Olivera
2D Navier-Stokes equation with cylindrical fractional Brownian noise, Annali Mat. Pura Appl. 198 (2019), no.3, 1041-1067. DOI 10.1007/s10231-018-0809-x
•B. Ferrario, M. Zanella
Absolute continuity of the law for the two dimensional stochastic Navier-Stokes equations , Stochastic Processes Appl. 129 (2019), 1568-1604. DOI 10.1016/j.spa.2018.05.015 (arXiv:1702.01597)
•Z. Brzezniak, B. Ferrario
Stationary solutions for stochastic damped Navier-Stokes equations in Rd , Indiana Univ. Math. J. 68 (2019), no. 1, 105-138
•B. Ferrario, C. Olivera
Lp-solutions of the Navier-Stokes equation with fractional Brownian noise, AIMS Mathematics 3 (2018), no.4, 539-553 (arXiv:1809.06847). DOI 10.3934/Math.2018.4.539
•B. Ferrario, M. Zanella
Stochastic vorticity equation in R2 with not regular noise, NoDEA 25 (2018), no.6, 33 pages. DOI 10.1007/s00030-018-0541-7
•Z. Brzezniak, B. Ferrario
A note on stochastic Navier-Stokes equations with not regular multiplicative noise, Stochastics and Partial Differential Equations: Analysis and Computations 5 (2017), no.1, 53-80. DOI 10.1007/s40072-016-0081-2
•H. Bessaih, B. Ferrario
The regularized 3D Boussinesq equations with fractional Laplacian and no diffusion, Journal of Differential Equations 262 (2017), 1822-1849. DOI 10.1016/j.jde.2016.10.032
•H. Bessaih, B. Ferrario
Statistical properties of stochastic 2D Navier-Stokes equation from linear models, Discrete and Continuous Dynamical Systems - series B - 21 (2016), no.9, 2927-2947.
•B. Ferrario
Characterization of the law for 3D stochastic hyperviscous fluids , Electron. J. Probab. 21 (2016), paper no. 26, 22 pp.
•H. Bessaih, B. Ferrario
Inviscid limit of stochastic damped 2D Navier-Stokes equations, Nonlinearity 27 (2014), no.1, 1-15.
•D. Barbato, H. Bessaih, B. Ferrario
On a Stochastic Leray-α model of Euler equations, Stochastic Processes Appl. 124 (2014), 199-219. DOI:10.1016/j.spa.2013.07.002
•B. Ferrario
Uniqueness and absolute continuity for semilinear SPDE's (2013), 85-94. Proceedings of "Seminar on Stochastic Analysis, Random Fields and Applications-VII", Ascona 2011. Birkhäuser. Series: Progress in Probability, Vol. 67; R. Dalang, M. Dozzi, F. Russo (Eds.)
•B. Ferrario
A note on a result of Liptser-Shiryaev, Stochastic Analysis and Applications 30 no.6 (2012), 1019-1040. DOI: 10.1080/07362994.2012.727139
•H. Bessaih, B. Ferrario
Invariant measures of Gaussian type for 2D turbulence, Journal of Statistical Physics 149 no.2 (2012), 259-283. DOI 10.1007/s10955-012-0601-z
•H. Bessaih, B. Ferrario
Invariant Gibbs measures of the energy for shell models of turbulence: the inviscid and viscous cases, Nonlinearity 25 (2012), 1075-1097.
•B. Ferrario
Well posedness of a stochastic hyperviscosity-regularized 3D Navier-Stokes equation, Proceedings of the Conference ''SPDE's and Applications - VIII'' (Levico, Jan. 6-12, 2008), Quaderni di Matematica 25 - Seconda Università di Napoli (2010), 127-138.
•Z. Brzezniak, B. Ferrario
2D Navier-Stokes equations in Besov spaces of negative order, Nonlinear Analysis TMA 70 no.11 (2009), 3902-3916.
•B. Ferrario
Absolute continuity of laws for semilinear stochastic equations with additive noise, Communications on Stochastic Analysis 2 no.2 (2008), 209-227. Erratum 5 no.2 (2011), 431-432.
•B. Ferrario
Invariant measures for a stochastic Kuramoto-Sivashinsky equation, Stochastic Analysis and Applications 26 no.2 (2008), 379-407. DOI: 10.1080/07362990701857335
•S. Albeverio, V. Barbu, B. Ferrario
Uniqueness of the generators of the 2-D Euler and Navier Stokes flows,
Stochastic Processes Appl., 118 no.11 (2008), 2071-2084.
Erratum, Stochastic Processes Appl., 120 no.10 (2010), 2102.
•S. Albeverio, B. Ferrario
Some Methods of Infinite Dimensional Analysis in Hydrodynamics: An Introduction. In ''SPDE in Hydrodynamic: Recent Progress and Prospects'', Lecture Notes in Mathematics 1942 (2008), 1-50. Springer.
•B. Ferrario, F. Flandoli
On a stochastic version of Prouse model in fluid dynamics, Stochastic Processes Appl. 118 no.5 (2008), 762-789.
•R. Carbone, B. Ferrario, M. Santacroce
Backward Stochastic Differential Equations driven by càdlàg martingales, Teoriia Veroiatnostei i ee Primeneiia 52 no.2 (2007), 375-385. Translation from the russian in: Theory of Probability and Its Applications 52 no.2 (2008), 304-314.
•B. Ferrario
Stochastic hydrodynamics, Encyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), vol. 5 pg. 71-79.
•B. Ferrario
On some problems of regularity in two-dimensional stochastic hydrodynamics, Proceedings of the Conference Stochastic partial differential equations and applications - VII, Levico Terme 2004. Eds: G. Da Prato, L. Tubaro. Taylor & Francis "SPDE's and Applications - VII", Lecture Notes in Pure and Applied Mathematics 245 (2006), 97-103. (ISBN: 0824700279)
•R. Guarino, B. Ferrario, L. Mossa
A stochastic model of seed dispersal pattern to assess seed predation by ants in annual dry grasslands, Plant Ecology no.178 (2005), 225-235.
•S. Albeverio, B. Ferrario
Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy. Annals of Probability 23 no.2 (2004), 1632-1649.
•S. Albeverio, B. Ferrario
Invariant Gibbs measures for the 2D vortex motion of fluids. Proceedings of the First Sino-German Conference on Stochastic Analysis (A Satellite Conference of ICM 2002, Beijing - China). Eds: S. Albeverio, Z.-M. Ma, M. Röckner. World Scientific Publishing ``Recent Developments in Stochastic Analysis and Related Topics'' (2004), 31-44.
•S. Albeverio, B. Ferrario, M.W. Yoshida
On the essential self-adjointness of Wick powers of relativistic fields and of fields unitary equivalent to random fields. Acta Applicandae Mathematicae 80 (2004), 309-334.
•B. Ferrario
Uniqueness result for the 2D Navier-Stokes equation with additive noise. Stochastics Stochastics Rep. 75 no.6 (2003), 435-442.
•S. Albeverio, B. Ferrario
2D vortex motion of an incompressible ideal fluid: the Koopman-von Neumann approach. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6 no.2 (2003), 155-165.
•S. Albeverio, B. Ferrario
Invariant measures of Lévy-Khinchine type for 2D fluids. Proceedings of the Swansea 2002 Workshop ``Probabilistic Methods in Fluids'', Wales, UK, 14-19 April 2002. Eds.: I.M. Davies, N. Jacob, A. Truman, O. Hassan, K. Morgan, N.P. Weatherill.World Scientific (2003), 130-143.
•S. Albeverio, B. Ferrario
Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows. The case of Gaussian invariant measures. J. Funct. Anal. 193 no.1 (2002), 77-93.
•B. Ferrario
Pathwise regularity of non-linear Ito equations. Application to a stochastic Navier-Stokes equation. Stochastic Anal. Appl. 19(1) (2001), 135-150.
•B. Ferrario
Some Results on Invariant Measures in Hydrodynamics. Boll. Unione Mat. Ital.(8) 1-B (2000), 79-94.
•B. Ferrario
Stochastic Navier-Stokes equations: analysis of the noise to have a unique invariant measure. Ann. Mat. Pura Appl. (IV), Vol. CLXXVII (1999), 331-347.
•B. Ferrario
Invariant measures for the stochastic Navier-Stokes equations. Proceedings of the Conference on Navier-Stokes equations at Varenna , June 1997 Pitman Res. Notes Math. Ser., 388, ``Navier-Stokes Equations : Theory and Numerical Methods'' Ed. R. Salvi. (1998), 160-173.
•B. Ferrario
Invariant measures for the stochastic Navier-Stokes equations. PhD Thesis, Scuola Normale Superiore di Pisa (1998).
•B. Ferrario
Ergodic results for stochastic Navier-Stokes equations. Stochastics Stochastics Rep. 60 no.3-4 (1997), 271-288.
•B. Ferrario
The Bénard problem with random perturbations: dissipativity and invariant measures. NoDEA 4 no.1 (1997), 101-121.
•B. Ferrario
On a unilateral problem for a Navier-Stokes type equation. Rendiconti dell'Istit. Lombardo Accad. Sci. Lett. Rend., Sezione A 128 no.1 (1994), 83-105.