Edit Profile Flandoli, Franco Compute Distance To: Compute Author ID: flandoli.franco Published as: Flandoli, F.; Flandoli, Franco External Links: MGP · Wikidata · dblp · GND Documents Indexed: 179 Publications since 1982, including 5 Books Reviewing Activity: 76 Reviews Biographic References: 1 Publication all top 5 Co-Authors 47 single-authored 13 Gubinelli, Massimiliano 9 Brzeźniak, Zdzisław 9 Da Prato, Giuseppe 9 Priola, Enrico 9 Romito, Marco 8 Bessaih, Hakima 8 Russo, Francesco 7 Luo, Dejun 6 Barbato, David 6 Morandin, Francesco 6 Röckner, Michael 5 Capiński, Marek 5 Crauel, Hans 4 Fedrizzi, Ennio 3 Coghi, Michele 3 Leocata, Marta 3 Maurelli, Mario 3 Olivera, Christian 3 Ricci, Cristiano 3 Zanco, Giovanni 2 Attanasio, Stefano 2 Beck, Lisa 2 Berselli, Luigi Carlo 2 Bianchi, Luigi Amedeo 2 Capasso, Vincenzo 2 Codenotti, Bruno 2 Delarue, François 2 Domingo, Dario 2 d’Onofrio, Alberto 2 Gess, Benjamin 2 Hairer, Martin 2 Langa, Jose’ Antonio 2 Leimbach, Matti 2 Schaumlöffel, Kay-Uwe 2 Scheutzow, Michael K. R. 2 Schmalfuß, Björn 2 Tortorelli, Vincenzo Maria 2 Tudor, Ciprian A. 2 Wolf, Jochen 2 Zegarlinski, Boguslaw 1 Acquistapace, Paolo 1 Barsanti, Michele 1 Beirão da Veiga, Hugo 1 Bellomo, Nicola 1 Bensoussan, Alain 1 Bevilacqua, Alessandro 1 Blömker, Dirk 1 Busnello, Barbara 1 Buttà, Paolo 1 Cerrai, Sandra 1 Crisan, Dan O. 1 Cruzeiro, Ana-Bela 1 Dalang, Robert C. 1 Debussche, Arnaud 1 Delgado-Vences, Francisco J. 1 Dozzi, Marco E. 1 Favati, Paola 1 Fedrigo, Mattia 1 Ferrario, Benedetta 1 Gątarek, Dariusz 1 Giaquinta, Mariano 1 Gozzi, Francisco J. 1 Holm, Darryl D. 1 Imkeller, Peter 1 Issoglio, Elena 1 Kloeden, Peter Eris 1 Lasiecka, Irena 1 Lisei, Hannelore 1 Mahalov, Alex 1 Malliavin, Paul 1 Maslowski, Bohdan 1 Minelli, Ida Germana 1 Neklyudov, Mikhail 1 Neklyudov, Misha 1 Ottobre, Michela 1 Saal, Martin 1 Simon, Marielle 1 Stuart, Andrew M. 1 Terreni, Brunello 1 Tessitore, Gianmario 1 Titi, Edriss Saleh 1 Triggiani, Roberto 1 Veretennikov, Alexander Yu. 1 Vincenzi, Dario 1 Vovelle, Julien all top 5 Serials 8 The Annals of Probability 8 Stochastics and Stochastics Reports 7 Stochastic Analysis and Applications 7 Probability Theory and Related Fields 6 Journal of Functional Analysis 5 Journal of Statistical Physics 5 Stochastic Processes and their Applications 5 Journal of Dynamics and Differential Equations 4 SIAM Journal on Control and Optimization 4 Electronic Journal of Probability 4 Journal of Evolution Equations 4 Stochastics and Dynamics 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Transactions of the American Mathematical Society 3 Journal of Theoretical Probability 3 Applied Mathematics Letters 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Lecture Notes in Mathematics 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 The Annals of Applied Probability 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 NoDEA. Nonlinear Differential Equations and Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Milan Journal of Mathematics 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Communications on Pure and Applied Mathematics 1 Metrika 1 Stochastics 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Applied Probability 1 Mathematics and Computers in Simulation 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Systems & Control Letters 1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni 1 Journal of Complexity 1 European Journal of Applied Mathematics 1 Mathematica Bohemica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Journal of Nonlinear Science 1 Random Operators and Stochastic Equations 1 Bulletin des Sciences Mathématiques 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of Mathematical Fluid Mechanics 1 Communications on Pure and Applied Analysis 1 Oberwolfach Reports 1 Stochastics 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Progress in Probability 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Kinetic and Related Models 1 Journal of Geometric Mechanics 1 Communications in Mathematics and Statistics 1 Mathematics and Mechanics of Complex Systems all top 5 Fields 121 Probability theory and stochastic processes (60-XX) 107 Partial differential equations (35-XX) 59 Fluid mechanics (76-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Dynamical systems and ergodic theory (37-XX) 17 Systems theory; control (93-XX) 15 Operator theory (47-XX) 14 Ordinary differential equations (34-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 4 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 154 Publications have been cited 3,020 times in 1,580 Documents Cited by ▼ Year ▼ Attractors for random dynamical systems. Zbl 0819.58023Crauel, Hans; Flandoli, Franco 399 1994 Random attractors. Zbl 0884.58064Crauel, Hans; Debussche, Arnaud; Flandoli, Franco 385 1997 Random attractors for the 3D stochastic Navier-Stokes equation with multiplicative white noise. Zbl 0870.60057Flandoli, Franco; Schmalfuss, Björn 201 1996 Martingale and stationary solutions for stochastic Navier-Stokes equations. Zbl 0831.60072Flandoli, Franco; Gatarek, Dariusz 199 1995 Well-posedness of the transport equation by stochastic perturbation. Zbl 1200.35226Flandoli, F.; Gubinelli, M.; Priola, E. 112 2010 Ergodicity of the 2-D Navier-Stokes equation under random perturbations. Zbl 0845.35080Flandoli, Franco; Maslowski, Bohdan 90 1995 Dissipativity and invariant measures for stochastic Navier-Stokes equations. Zbl 0820.35108Flandoli, Franco 78 1994 Markov selections for the 3D stochastic Navier-Stokes equations. Zbl 1133.76016Flandoli, Franco; Romito, Marco 53 2008 Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems. Zbl 0674.49004Flandoli, F.; Lasiecka, I.; Triggiani, R. 53 1988 An introduction to 3D stochastic fluid dynamics. Zbl 1426.76001Flandoli, Franco 45 2008 Additive noise destroys a pitchfork bifurcation. Zbl 0907.34042Crauel, Hans; Flandoli, Franco 45 1998 Noise prevents singularities in linear transport equations. Zbl 1273.60076Fedrizzi, E.; Flandoli, F. 41 2013 Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. Zbl 1291.35455Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 40 2013 Random perturbation of PDEs and fluid dynamic models. École d’Été de Probabilités de Saint-Flour XL – 2010. Zbl 1221.35004Flandoli, Franco 38 2011 Hausdorff dimension of invariant sets for random dynamical systems. Zbl 0927.37031Crauel, Hans; Flandoli, Franco 37 1998 Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096Da Prato, G.; Flandoli, F. 28 2010 Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force. Zbl 0931.35124Flandoli, Franco; Schmalfuß, Björn 28 1999 A convergence result for stochastic partial differential equations. Zbl 0653.60049Brzeźniak, Z.; Capiński, M.; Flandoli, F. 28 1988 Almost sure approximation of Wong-Zakai type for stochastic partial differential equations. Zbl 0842.60062Brzeźniak, Zdzisław; Flandoli, Franco 26 1995 Pathwise uniqueness and continuous dependence for SDEs with non-regular drift. Zbl 1221.60081Fedrizzi, E.; Flandoli, F. 25 2011 Stochastic partial differential equations in continuum physics - on the foundations of the stochastic interpolation method for Ito’s type equations. Zbl 0706.60063Bellomo, N.; Flandoli, F. 25 1989 Hölder flow and differentiability for SDEs with nonregular drift. Zbl 1281.60055Fedrizzi, E.; Flandoli, F. 24 2013 Stochastic inertial manifold. Zbl 0854.60059Bensoussan, Alain; Flandoli, Franco 24 1995 Regularity theory and stochastic flows for parabolic SPDEs. Zbl 0838.60054Flandoli, Franco 24 1995 Stochastic Navier-Stokes equations with multiplicative noise. Zbl 0762.35083Brzeźniak, Z.; Capiński, M.; Flandoli, F. 24 1992 Stochastic partial differential equations and turbulence. Zbl 0741.60058Brzeźniak, Z.; Capiński, M.; Flandoli, F. 24 1991 Riccati equation arising in a boundary control problem with distributed parameters. Zbl 0533.49004Flandoli, Franco 24 1984 Dirichlet boundary value problem for stochastic parabolic equations: Compatibility relations and regularity of solutions. Zbl 0696.60057Flandoli, Franco 23 1990 Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations. Zbl 1221.60082Flandoli, F.; Gubinelli, M.; Priola, E. 22 2011 Noise prevents collapse of Vlasov-Poisson point charges. Zbl 1302.35366Delarue, François; Flandoli, Franco; Vincenzi, Dario 21 2014 Some SDEs with distributional drift. I: General calculus. Zbl 1054.60069Flandoli, Franco; Russo, Francesco; Wolf, Jochen 20 2003 A probabilistic representation for the vorticity of a three-dimensional viscous fluid and for general systems of parabolic equations. Zbl 1075.76019Busnello, Barbara; Flandoli, Franco; Romito, Marco 19 2005 Initial boundary value problems and optimal control for nonautonomous parabolic systems. Zbl 0753.49003Acquistapace, P.; Flandoli, F.; Terreni, B. 19 1991 Algebraic Riccati equation arising in boundary control problems. Zbl 0617.49004Flandoli, Franco 19 1987 Pathwise global attractors for stationary random dynamical systems. Zbl 0791.58056Brzeźniak, Zdzisław; Capiński, Marek; Flandoli, Franco 18 1993 Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift. Zbl 1198.60023Flandoli, F.; Gubinelli, M.; Priola, E. 17 2010 Some rigorous results on a stochastic GOY model. Zbl 1107.82057Barbato, D.; Barsanti, M.; Bessaih, H.; Flandoli, F. 17 2006 Some SDEs with distributional drift. II: Lyons-Zheng structure, Itô’s formula and semimartingale characterization. Zbl 1088.60058Flandoli, Franco; Russo, Francesco; Wolf, Jochen 17 2004 Synchronization by noise. Zbl 1385.37017Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael 16 2017 Stationary conjugation of flows for parabolic SPDEs with multiplicative noise and some applications. Zbl 1063.60089Flandoli, Franco; Lisei, Hannelore 16 2004 Partial regularity for the stochastic Navier-Stokes equations. Zbl 0997.76018Flandoli, Franco; Romito, Marco 16 2002 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 15 2016 Renormalized solutions for stochastic transport equations and the regularization by bilinear multiplicative noise. Zbl 1237.60048Attanasio, S.; Flandoli, F. 15 2011 Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation. Zbl 1109.58035Cruzeiro, Ana-Bela; Flandoli, Franco; Malliavin, Paul 15 2007 Direct solution of a Riccati equation arising in a stochastic control problem with control and observation on the boundary. Zbl 0606.93070Flandoli, Franco 15 1986 An infinite-dimensional approach to path-dependent Kolmogorov equations. Zbl 1356.60101Flandoli, Franco; Zanco, Giovanni 14 2016 Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity. Zbl 1342.35231Brzeźniak, Zdzisław; Flandoli, Franco; Maurelli, Mario 14 2016 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 14 2015 2-D Euler equation perturbed by noise. Zbl 0923.35122Bessaih, Hakima; Flandoli, Franco 14 1999 Uniqueness for a stochastic inviscid dyadic model. Zbl 1196.60112Barbato, D.; Flandoli, F.; Morandin, F. 13 2010 Markovianity and ergodicity for a surface growth PDE. Zbl 1184.60024Blömker, Dirk; Flandoli, Franco; Romito, Marco 13 2009 Markov selections and their regularity for the three-dimensional stochastic Navier-Stokes equations. Zbl 1098.60059Flandoli, Franco; Romito, Marco 13 2006 Generalized integration and stochastic ODEs. Zbl 1022.60054Flandoli, Franco; Russo, Francesco 13 2002 The Gibbs ensemble of a vortex filament. Zbl 0992.60058Flandoli, Franco; Gubinelli, Massimiliano 13 2002 Kolmogorov equation associated to a stochastic Navier-Stokes equation. Zbl 0928.60044Flandoli, F.; Gozzi, F. 13 1998 Irreducibility of the 3-D stochastic Navier-Stokes equation. Zbl 0887.35171Flandoli, Franco 13 1997 Synchronization by noise for order-preserving random dynamical systems. Zbl 1379.37101Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael 12 2017 Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M. 12 2008 Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation. Zbl 1136.35112Flandoli, Franco; Romito, Marco 12 2007 A multiplicative ergodic theorem with applications to a first order stochastic hyperbolic equation in a bounded domain. Zbl 0724.60072Schaumlöffel, Kay-Uwe; Flandoli, Franco 12 1991 Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051Crisan, Dan; Flandoli, Franco; Holm, Darryl D. 11 2019 Weak vorticity formulation of 2D Euler equations with white noise initial condition. Zbl 07024453Flandoli, Franco 11 2018 Regularity of stochastic kinetic equations. Zbl 1371.35372Fedrizzi, Ennio; Flandoli, Franco; Priola, Enrico; Vovelle, Julien 11 2017 Energy dissipation and self-similar solutions for an unforced inviscid dyadic model. Zbl 1301.37061Barbato, D.; Flandoli, F.; Morandin, F. 11 2011 Remarks on uniqueness and strong solutions to deterministic and stochastic differential equations. Zbl 1433.34079Flandoli, Franco 11 2009 On a probabilistic description of small scale structures in 3D fluids. Zbl 1017.76074Flandoli, Franco 11 2002 Multidimensional stochastic differential equations with distributional drift. Zbl 1355.60074Flandoli, Franco; Issoglio, Elena; Russo, Francesco 10 2017 Zero-noise solutions of linear transport equations without uniqueness: An example. Zbl 1167.35006Attanasio, Stefano; Flandoli, Franco 10 2009 Weak attractor for a dissipative Euler equation. Zbl 1027.35101Bessaih, H.; Flandoli, F. 10 2000 Stochastic currents. Zbl 1087.60043Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M. 9 2005 Determining modes for dissipative random dynamical systems. Zbl 0923.35213Flandoli, Franco; Langa, Jose A. 9 1999 Stochastic parabolic equations in bounded domains: Random evolution operator and Lyapunov exponents. Zbl 0704.60060Flandoli, Franco; Schaumlöffel, Kay-Uwe 9 1990 Anomalous dissipation in a stochastic inviscid dyadic model. Zbl 1259.60064Barbato, David; Flandoli, Franco; Morandin, Francesco 8 2011 The interaction between noise and transport mechanisms in PDEs. Zbl 1231.35165Flandoli, Franco 8 2011 Limit behaviour of a dense collection of vortex filaments. Zbl 1137.76387Bessaih, H.; Flandoli, F. 8 2004 Stochastic differential equations in fluid dynamics. Zbl 0920.60048Flandoli, Franco 8 1998 Stochastic flows for nonlinear second-order parabolic SPDE. Zbl 0870.60056Flandoli, Franco 8 1996 Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 7 2014 Stochastic attractors for shell phenomenological models of turbulence. Zbl 1402.76056Bessaih, Hakima; Flandoli, Franco; Titi, Edriss S. 7 2010 Propagation of chaos for interacting particles subject to environmental noise. Zbl 1345.60113Coghi, Michele; Flandoli, Franco 6 2016 Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020Flandoli, Franco; Mahalov, Alex 6 2012 A theorem of uniqueness for an inviscid dyadic model. Zbl 1353.34017Barbato, D.; Flandoli, Franco; Morandin, Francesco 6 2010 On the semigroup approach to stochastic evolution equations. Zbl 0762.60046Flandoli, Franco 6 1992 Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure. Zbl 1440.35234Flandoli, Franco; Luo, Dejun 5 2020 mSQG equations in distributional spaces and point vortex approximation. Zbl 1439.60060Flandoli, Franco; Saal, Martin 5 2019 Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness. Zbl 1427.60103Beck, Lisa; Flandoli, Franco; Gubinelli, Massimiliano; Maurelli, Mario 5 2019 \(\rho\)-white noise solution to 2D stochastic Euler equations. Zbl 1425.60058Flandoli, Franco; Luo, Dejun 5 2019 Kolmogorov equations associated to the stochastic two dimensional Euler equations. Zbl 1426.35183Flandoli, Franco; Luo, Dejun 5 2019 The transition point in the zero noise limit for a 1D Peano example. Zbl 1314.60113Delarue, François; Flandoli, Franco 5 2014 A dyadic model on a tree. Zbl 1410.34133Barbato, David; Bianchi, Luigi Amedeo; Flandoli, Franco; Morandin, Francesco 5 2013 On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model. Zbl 1171.76019Flandoli, Franco; Gubinelli, Massimiliano; Russo, Francesco 5 2009 On the method of Da Prato and Debussche for the 3D stochastic Navier-Stokes equations. Zbl 1103.76019Flandoli, F. 5 2006 Random currents and probabilistic models of vortex filaments. Zbl 1064.60118Flandoli, Franco; Gubinelli, Massimiliano 5 2004 Generalized calculus and SDEs with non regular drift. Zbl 1007.60046Flandoli, Franco; Russo, Francesco 5 2002 Probabilistic models of vortex filaments. Zbl 1001.60057Flandoli, Franco; Minelli, Ida 5 2001 Statistically stationary solutions to the 3-D Navier-Stokes equation do not show singularities. Zbl 0973.35148Flandoli, Franco; Romito, Marco 5 2001 Noise prevents infinite stretching of the passive field in a stochastic vector advection equation. Zbl 1322.60109Flandoli, Franco; Maurelli, Mario; Neklyudov, Mikhail 4 2014 Remarks on the stochastic transport equation with Hölder drift. Zbl 1292.60063Flandoli, F.; Gubinelli, M.; Priola, E. 4 2012 Regularizing properties of Brownian paths and a result of Davie. Zbl 1236.60077Flandoli, Franco 4 2011 On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093Berselli, Luigi C.; Flandoli, Franco 4 2010 Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure. Zbl 1440.35234Flandoli, Franco; Luo, Dejun 5 2020 Stochastic Navier-Stokes equations and related models. Zbl 1446.35093Bianchi, Luigi Amedeo; Flandoli, Franco 3 2020 Energy conditional measures and 2D turbulence. Zbl 1432.76108Flandoli, Franco; Luo, Dejun 3 2020 Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051Crisan, Dan; Flandoli, Franco; Holm, Darryl D. 11 2019 mSQG equations in distributional spaces and point vortex approximation. Zbl 1439.60060Flandoli, Franco; Saal, Martin 5 2019 Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness. Zbl 1427.60103Beck, Lisa; Flandoli, Franco; Gubinelli, Massimiliano; Maurelli, Mario 5 2019 \(\rho\)-white noise solution to 2D stochastic Euler equations. Zbl 1425.60058Flandoli, Franco; Luo, Dejun 5 2019 Kolmogorov equations associated to the stochastic two dimensional Euler equations. Zbl 1426.35183Flandoli, Franco; Luo, Dejun 5 2019 Uniform convergence of proliferating particles to the FKPP equation. Zbl 1433.60089Flandoli, Franco; Leimbach, Matti; Olivera, Christian 3 2019 A particle system approach to aggregation phenomena. Zbl 1416.35139Flandoli, Franco; Leocata, Marta 2 2019 Mean field limit of interacting filaments for 3D Euler equations. Zbl 1412.35235Bessaih, Hakima; Coghi, Michele; Flandoli, Franco 2 2019 A non-linear kinetic model of self-propelled particles with multiple equilibria. Zbl 1428.35598Buttà, Paolo; Flandoli, Franco; Ottobre, Michela; Zegarlinski, Boguslaw 1 2019 The Vlasov-Navier-Stokes equations as a mean field limit. Zbl 1429.35054Flandoli, Franco; Leocata, Marta; Ricci, Cristiano 1 2019 A mean-field model with discontinuous coefficients for neurons with spatial interaction. Zbl 1415.60061Flandoli, Franco; Priola, Enrico; Zanco, Giovanni 1 2019 Weak vorticity formulation of 2D Euler equations with white noise initial condition. Zbl 07024453Flandoli, Franco 11 2018 Well-posedness of the vector advection equations by stochastic perturbation. Zbl 1394.60068Flandoli, Franco; Olivera, Christian 1 2018 Infinite-dimensional calculus under weak spatial regularity of the processes. Zbl 1429.60053Flandoli, Franco; Russo, Francesco; Zanco, Giovanni 1 2018 Synchronization by noise. Zbl 1385.37017Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael 16 2017 Synchronization by noise for order-preserving random dynamical systems. Zbl 1379.37101Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael 12 2017 Regularity of stochastic kinetic equations. Zbl 1371.35372Fedrizzi, Ennio; Flandoli, Franco; Priola, Enrico; Vovelle, Julien 11 2017 Multidimensional stochastic differential equations with distributional drift. Zbl 1355.60074Flandoli, Franco; Issoglio, Elena; Russo, Francesco 10 2017 Mean field limit of interacting filaments and vector valued non-linear PDEs. Zbl 1364.35255Bessaih, Hakima; Coghi, Michele; Flandoli, Franco 3 2017 An open problem in the theory of regularization by noise for nonlinear PDEs. Zbl 1393.35292Flandoli, Franco 2 2017 Boundedness vs unboundedness of a noise linked to Tsallis \(q\)-statistics: the role of the overdamped approximation. Zbl 1361.60056Domingo, Dario; d’Onofrio, Alberto; Flandoli, Franco 1 2017 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 15 2016 An infinite-dimensional approach to path-dependent Kolmogorov equations. Zbl 1356.60101Flandoli, Franco; Zanco, Giovanni 14 2016 Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity. Zbl 1342.35231Brzeźniak, Zdzisław; Flandoli, Franco; Maurelli, Mario 14 2016 Propagation of chaos for interacting particles subject to environmental noise. Zbl 1345.60113Coghi, Michele; Flandoli, Franco 6 2016 On stochastic distributions and currents. Zbl 1369.28003Capasso, Vincenzo; Flandoli, Franco 2 2016 Remarks on stochastic Navier-Stokes equations. Zbl 1373.35217Flandoli, Franco 2 2016 Mean field limit with proliferation. Zbl 1353.60085Flandoli, Franco; Leimbach, Matti 1 2016 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 14 2015 A stochastic view over the open problem of well-posedness for the 3D Navier-Stokes equations. Zbl 1330.35289Flandoli, Franco 2 2015 Stochastic analysis: a series of lectures. Centre Interfacultaire Bernoulli, January – June 2012, École Polytechnique Fédérale Lausanne, Switzerland. Zbl 1330.60004Dalang, Robert C. (ed.); Dozzi, Marco (ed.); Flandoli, Franco (ed.); Russo, Francesco (ed.) 1 2015 Noise prevents collapse of Vlasov-Poisson point charges. Zbl 1302.35366Delarue, François; Flandoli, Franco; Vincenzi, Dario 21 2014 Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 7 2014 The transition point in the zero noise limit for a 1D Peano example. Zbl 1314.60113Delarue, François; Flandoli, Franco 5 2014 Noise prevents infinite stretching of the passive field in a stochastic vector advection equation. Zbl 1322.60109Flandoli, Franco; Maurelli, Mario; Neklyudov, Mikhail 4 2014 An occupation time formula for semimartingales in \(\mathbb{R}^N\). Zbl 1310.60045Bevilacqua, A.; Flandoli, F. 1 2014 Noise prevents singularities in linear transport equations. Zbl 1273.60076Fedrizzi, E.; Flandoli, F. 41 2013 Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. Zbl 1291.35455Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 40 2013 Hölder flow and differentiability for SDEs with nonregular drift. Zbl 1281.60055Fedrizzi, E.; Flandoli, F. 24 2013 A dyadic model on a tree. Zbl 1410.34133Barbato, David; Bianchi, Luigi Amedeo; Flandoli, Franco; Morandin, Francesco 5 2013 Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component. Zbl 1304.60071Cerrai, Sandra; Da Prato, Giuseppe; Flandoli, Franco 3 2013 A regularity theorem for quasilinear parabolic systems under random perturbations. Zbl 1288.35143Beck, Lisa; Flandoli, Franco 2 2013 Fokker-Planck equations for SPDE with non-trace-class noise. Zbl 1312.35167Da Prato, G.; Flandoli, F.; Röckner, M. 1 2013 Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020Flandoli, Franco; Mahalov, Alex 6 2012 Remarks on the stochastic transport equation with Hölder drift. Zbl 1292.60063Flandoli, F.; Gubinelli, M.; Priola, E. 4 2012 Random perturbation of PDEs and fluid dynamic models. École d’Été de Probabilités de Saint-Flour XL – 2010. Zbl 1221.35004Flandoli, Franco 38 2011 Pathwise uniqueness and continuous dependence for SDEs with non-regular drift. Zbl 1221.60081Fedrizzi, E.; Flandoli, F. 25 2011 Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations. Zbl 1221.60082Flandoli, F.; Gubinelli, M.; Priola, E. 22 2011 Renormalized solutions for stochastic transport equations and the regularization by bilinear multiplicative noise. Zbl 1237.60048Attanasio, S.; Flandoli, F. 15 2011 Energy dissipation and self-similar solutions for an unforced inviscid dyadic model. Zbl 1301.37061Barbato, D.; Flandoli, F.; Morandin, F. 11 2011 Anomalous dissipation in a stochastic inviscid dyadic model. Zbl 1259.60064Barbato, David; Flandoli, Franco; Morandin, Francesco 8 2011 The interaction between noise and transport mechanisms in PDEs. Zbl 1231.35165Flandoli, Franco 8 2011 Regularizing properties of Brownian paths and a result of Davie. Zbl 1236.60077Flandoli, Franco 4 2011 Conservative interacting particles system with anomalous rate of ergodicity. Zbl 1230.82036Brzeźniak, Z.; Flandoli, F.; Neklyudov, M.; Zegarliński, B. 1 2011 Well-posedness of the transport equation by stochastic perturbation. Zbl 1200.35226Flandoli, F.; Gubinelli, M.; Priola, E. 112 2010 Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096Da Prato, G.; Flandoli, F. 28 2010 Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift. Zbl 1198.60023Flandoli, F.; Gubinelli, M.; Priola, E. 17 2010 Uniqueness for a stochastic inviscid dyadic model. Zbl 1196.60112Barbato, D.; Flandoli, F.; Morandin, F. 13 2010 Stochastic attractors for shell phenomenological models of turbulence. Zbl 1402.76056Bessaih, Hakima; Flandoli, Franco; Titi, Edriss S. 7 2010 A theorem of uniqueness for an inviscid dyadic model. Zbl 1353.34017Barbato, D.; Flandoli, Franco; Morandin, Francesco 6 2010 On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093Berselli, Luigi C.; Flandoli, Franco 4 2010 Brownian and fractional Brownian stochastic currents via Malliavin calculus. Zbl 1196.60100Flandoli, Franco; Tudor, Ciprian A. 4 2010 Does noise improve well-posedness of fluid dynamic equations? Zbl 1307.35321Flandoli, Franco; Gubinelli, Massimilliano; Priola, Enrico 1 2010 Markovianity and ergodicity for a surface growth PDE. Zbl 1184.60024Blömker, Dirk; Flandoli, Franco; Romito, Marco 13 2009 Remarks on uniqueness and strong solutions to deterministic and stochastic differential equations. Zbl 1433.34079Flandoli, Franco 11 2009 Zero-noise solutions of linear transport equations without uniqueness: An example. Zbl 1167.35006Attanasio, Stefano; Flandoli, Franco 10 2009 On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model. Zbl 1171.76019Flandoli, Franco; Gubinelli, Massimiliano; Russo, Francesco 5 2009 Markov selections for the 3D stochastic Navier-Stokes equations. Zbl 1133.76016Flandoli, Franco; Romito, Marco 53 2008 An introduction to 3D stochastic fluid dynamics. Zbl 1426.76001Flandoli, Franco 45 2008 Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M. 12 2008 Markov attractors: a probabilistic approach to multivalued flows. Zbl 1163.34037Flandoli, Franco; Langa, José A. 4 2008 Infinite dimensional random dynamical systems and their applications. Abstracts from the workshop held November 2nd – November 8th, 2008. Zbl 1177.37006Flandoli, Franco (ed.); Kloeden, Peter E. (ed.); Stuart, Andrew (ed.) 2 2008 On a stochastic version of Prouse model in fluid dynamics. Zbl 1134.76011Ferrario, B.; Flandoli, F. 2 2008 Remarks on 3D stochastic Navier-Stokes equations. Zbl 1143.60322Flandoli, Franco 1 2008 Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation. Zbl 1109.58035Cruzeiro, Ana-Bela; Flandoli, Franco; Malliavin, Paul 15 2007 Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation. Zbl 1136.35112Flandoli, Franco; Romito, Marco 12 2007 A large deviation principle for the free energy of random Gibbs measures with application to the REM. Zbl 1223.60022Fedrigo, M.; Flandoli, F.; Morandin, F. 1 2007 Some rigorous results on a stochastic GOY model. Zbl 1107.82057Barbato, D.; Barsanti, M.; Bessaih, H.; Flandoli, F. 17 2006 Markov selections and their regularity for the three-dimensional stochastic Navier-Stokes equations. Zbl 1098.60059Flandoli, Franco; Romito, Marco 13 2006 On the method of Da Prato and Debussche for the 3D stochastic Navier-Stokes equations. Zbl 1103.76019Flandoli, F. 5 2006 A probabilistic representation for the vorticity of a three-dimensional viscous fluid and for general systems of parabolic equations. Zbl 1075.76019Busnello, Barbara; Flandoli, Franco; Romito, Marco 19 2005 Stochastic currents. Zbl 1087.60043Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M. 9 2005 Statistics of a vortex filament model. Zbl 1109.76026Flandoli, Franco; Gubinelli, Massimiliano 4 2005 Some SDEs with distributional drift. II: Lyons-Zheng structure, Itô’s formula and semimartingale characterization. Zbl 1088.60058Flandoli, Franco; Russo, Francesco; Wolf, Jochen 17 2004 Stationary conjugation of flows for parabolic SPDEs with multiplicative noise and some applications. Zbl 1063.60089Flandoli, Franco; Lisei, Hannelore 16 2004 Limit behaviour of a dense collection of vortex filaments. Zbl 1137.76387Bessaih, H.; Flandoli, F. 8 2004 Random currents and probabilistic models of vortex filaments. Zbl 1064.60118Flandoli, Franco; Gubinelli, Massimiliano 5 2004 Some SDEs with distributional drift. I: General calculus. Zbl 1054.60069Flandoli, Franco; Russo, Francesco; Wolf, Jochen 20 2003 A mean field result for 3D vortex filaments. Zbl 1066.76050Bessaih, H.; Flandoli, F. 3 2003 Partial regularity for the stochastic Navier-Stokes equations. Zbl 0997.76018Flandoli, Franco; Romito, Marco 16 2002 Generalized integration and stochastic ODEs. Zbl 1022.60054Flandoli, Franco; Russo, Francesco 13 2002 The Gibbs ensemble of a vortex filament. Zbl 0992.60058Flandoli, Franco; Gubinelli, Massimiliano 13 2002 On a probabilistic description of small scale structures in 3D fluids. Zbl 1017.76074Flandoli, Franco 11 2002 Generalized calculus and SDEs with non regular drift. Zbl 1007.60046Flandoli, Franco; Russo, Francesco 5 2002 Probabilistic analysis of singularities for the 3D Navier-Stokes equations. Zbl 1137.76353Flandoli, Franco; Romito, Marco 1 2002 Stochastic problems in fluid dynamics. Zbl 1040.76011Flandoli, Franco 1 2002 Probabilistic models of vortex filaments. Zbl 1001.60057Flandoli, Franco; Minelli, Ida 5 2001 ...and 54 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,289 Authors 95 Flandoli, Franco 45 Caraballo Garrido, Tomás 43 Wang, Bixiang 32 Duan, Jinqiao 31 Brzeźniak, Zdzisław 31 Zhou, Shengfan 30 Röckner, Michael 29 Kloeden, Peter Eris 29 Langa, Jose’ Antonio 29 Lasiecka, Irena 24 Li, Yangrong 24 Russo, Francesco 24 Schmalfuß, Björn 23 Lu, Kening 22 Da Prato, Giuseppe 22 Guo, Boling 22 Triggiani, Roberto 21 Bessaih, Hakima 20 Gess, Benjamin 20 Zhang, Xicheng 19 Real Anguas, José 18 Romito, Marco 17 Debussche, Arnaud 17 Gubinelli, Massimiliano 17 Olivera, Christian 16 Gao, Hongjun 16 Robinson, James Cooper 15 Barbu, Viorel 15 Ferrario, Benedetta 15 Glatt-Holtz, Nathan E. 15 Marín-Rubio, Pedro 15 Razafimandimby, Paul André 15 Zhao, Wenqiang 14 Scheutzow, Michael K. R. 14 Temam, Roger Meyer 14 Valero, José 14 Zhang, Tusheng S. 13 Blömker, Dirk 13 Chueshov, Igor’ Dmitrievich 13 Dong, Zhao 13 Gu, Anhui 13 Han, Xiaoying 13 Luo, Dejun 12 Cui, Hongyong 12 Huang, Jianhua 12 Tachim Medjo, Theodore 12 Wang, Zhaojuan 11 Hausenblas, Erika 11 Hofmanová, Martina 11 Holm, Darryl D. 11 Wang, Xiaohu 10 Anguiano, María 10 Crauel, Hans 10 Garrido-Atienza, María José 10 Li, Dingshi 10 Yang, Meihua 9 Bellomo, Nicola 9 Breit, Dominic 9 Chekroun, Mickaël D. 9 Guo, Yanfeng 9 Hairer, Martin 9 Manna, Utpal 9 Maslowski, Bohdan 9 Mattingly, Jonathan C. 9 Priola, Enrico 9 Shirikyan, Armen R. 9 Shu, Ji 9 Wang, Yejuan 9 Zhai, Jianliang 9 Zhu, RongChan 8 Barbato, David 8 Feireisl, Eduard 8 Guo, Chunxiao 8 Li, Fang 8 Morandin, Francesco 8 Proske, Frank Norbert 8 Shen, Wenxian 8 Shi, Lin 8 Xie, Longjie 8 Xie, Yingchao 8 Yamazaki, Kazuo 8 You, Yuncheng 8 Zhu, Xiang-Chan 7 Goldys, Beniamin 7 Gozzi, Fausto 7 Ju, Xuewei 7 Kuksin, Sergeĭ B. 7 Lv, Guangying 7 Ma, Qiaozhen 7 Mohammed, Salah-Eldin A. 7 Nilssen, Torstein K. 7 Sritharan, Sivaguru S. 7 Tudor, Ciprian A. 7 Wang, Wei 7 You, Bo 7 Zelik, Sergey V. 7 Zhang, Rangrang 6 Bates, Peter W. 6 Cruzeiro, Ana-Bela 6 Deugoue, Gabriel ...and 1,189 more Authors all top 5 Cited in 238 Serials 120 Journal of Differential Equations 72 Stochastics and Dynamics 71 Journal of Mathematical Analysis and Applications 62 Stochastic Processes and their Applications 58 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 52 Discrete and Continuous Dynamical Systems. Series B 51 Stochastic Analysis and Applications 37 Journal of Functional Analysis 34 Discrete and Continuous Dynamical Systems 32 Journal of Mathematical Physics 30 The Annals of Probability 28 Probability Theory and Related Fields 24 Communications in Mathematical Physics 24 Journal of Statistical Physics 24 Applied Mathematics and Optimization 24 Journal of Dynamics and Differential Equations 23 Stochastic and Partial Differential Equations. Analysis and Computations 22 Physica D 21 NoDEA. Nonlinear Differential Equations and Applications 18 SIAM Journal on Mathematical Analysis 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Nonlinear Analysis. 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Zeitschrift für angewandte Mathematik und Physik 4 Reviews in Mathematical Physics 4 Chaos, Solitons and Fractals 4 Mathematische Nachrichten 4 Ergodic Theory and Dynamical Systems 4 Applied Mathematics and Mechanics. (English Edition) 4 Chinese Annals of Mathematics. Series B 4 Acta Mathematicae Applicatae Sinica. English Series 4 Applied Mathematics Letters 4 MCSS. Mathematics of Control, Signals, and Systems 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Applied Mathematical Modelling 4 Bernoulli 4 European Journal of Control 4 Chaos 4 Discrete Dynamics in Nature and Society 4 Discrete and Continuous Dynamical Systems. Series S 4 Nonlinear Analysis. Theory, Methods & Applications 4 Open Mathematics 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Mathematics of Computation 3 Czechoslovak Mathematical Journal 3 Indiana University Mathematics Journal 3 Integral Equations and Operator Theory 3 Statistics & Probability Letters 3 SIAM Journal on Scientific Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Nonlinear Dynamics 3 Differential Equations 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Frontiers of Mathematics in China 3 International Journal of Stochastic Analysis 3 Journal of Applied Analysis and Computation 2 Journal of Computational Physics 2 Journal of the Franklin Institute ...and 138 more Serials all top 5 Cited in 42 Fields 951 Probability theory and stochastic processes (60-XX) 922 Partial differential equations (35-XX) 514 Dynamical systems and ergodic theory (37-XX) 309 Fluid mechanics (76-XX) 175 Ordinary differential equations (34-XX) 100 Systems theory; control (93-XX) 86 Calculus of variations and optimal control; optimization (49-XX) 86 Numerical analysis (65-XX) 74 Operator theory (47-XX) 50 Statistical mechanics, structure of matter (82-XX) 48 Biology and other natural sciences (92-XX) 39 Geophysics (86-XX) 27 Mechanics of deformable solids (74-XX) 25 Global analysis, analysis on manifolds (58-XX) 19 Functional analysis (46-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Mechanics of particles and systems (70-XX) 14 Measure and integration (28-XX) 11 Real functions (26-XX) 10 Statistics (62-XX) 8 Integral equations (45-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Difference and functional equations (39-XX) 6 Differential geometry (53-XX) 5 Operations research, mathematical programming (90-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Abstract harmonic analysis (43-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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