Edit Profile (opens in new tab) Flandoli, Franco Compute Distance To: Compute Author ID: flandoli.franco Published as: Flandoli, Franco; Flandoli, F. External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 187 Publications since 1982, including 2 Books 4 Contributions as Editor Reviewing Activity: 76 Reviews Biographic References: 1 Publication Co-Authors: 95 Co-Authors with 143 Joint Publications 2,530 Co-Co-Authors all top 5 Co-Authors 47 single-authored 13 Gubinelli, Massimiliano 11 Luo, Dejun 10 Da Prato, Giuseppe 9 Brzeźniak, Zdzisław 9 Priola, Enrico 9 Romito, Marco 8 Bessaih, Hakima 8 Russo, Francesco 7 Röckner, Michael 6 Barbato, David 6 Morandin, Francesco 5 Capiński, Marek 5 Crauel, Hans 4 Fedrizzi, Ennio 4 Leocata, Marta 4 Ricci, Cristiano 3 Coghi, Michele 3 Maurelli, Mario 3 Olivera, Christian 3 Zanco, Giovanni 2 Attanasio, Stefano 2 Beck, Lisa 2 Berselli, Luigi Carlo 2 Bianchi, Luigi Amedeo 2 Capasso, Vincenzo 2 Codenotti, Bruno 2 Debussche, Arnaud 2 Delarue, François 2 Domingo, Dario 2 d’Onofrio, Alberto 2 Galeati, Lucio 2 Gess, Benjamin 2 Hairer, Martin 2 Langa, Jose’ Antonio 2 Leimbach, Matti 2 Pappalettera, Umberto 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 Assing, Sigurd 1 Barsanti, Michele 1 Beirão da Veiga, Hugo 1 Bellomo, Nicola 1 Bensoussan, Alain 1 Blömker, Dirk 1 Buccheri, Giuseppe 1 Busnello, Barbara 1 Buttà, Paolo 1 Cerrai, Sandra 1 Chiodaroli, Elisabetta 1 Constantin, Peter 1 Corsi, Fulvio 1 Crisan, Dan O. 1 Cruzeiro, Ana-Bela 1 Dalang, Robert C. 1 Delgado-Vences, Francisco J. 1 Dozzi, Marco E. 1 Favati, Paola 1 Fedrigo, Mattia 1 Feireisl, Eduard 1 Ferrario, Benedetta 1 Galdi, Giovanni Paolo 1 Gątarek, Dariusz 1 Giaquinta, Mariano 1 Gozzi, Fausto 1 Grotto, Francesco 1 Holm, Darryl D. 1 Huang, Ruojun 1 Imkeller, Peter 1 Issoglio, Elena 1 Kloeden, Peter Eris 1 La Fauci, Eleonora 1 Lasiecka, Irena 1 Lisei, Hannelore 1 Livieri, Giulia 1 Mahalov, Alex 1 Malliavin, Paul 1 Maslowski, Bohdan 1 Minelli, Ida Germana 1 Neklyudov, Mikhail 1 Ottobre, Michela 1 Riva, Martina 1 Růžička, Michael 1 Saal, Martin 1 Seregin, Gregory A. 1 Simon, Marielle 1 Souganidis, Panagiotis E. 1 Stuart, Andrew M. 1 Terreni, Brunello 1 Tessitore, Gianmario 1 Titi, Edriss Saleh 1 Triggiani, Roberto 1 Tzvetkov, Nikolay 1 Veretennikov, Alexander Yu. 1 Vincenzi, Dario ...and 1 more Co-Authors all top 5 Serials 8 The Annals of Probability 8 Probability Theory and Related Fields 8 Stochastics and Stochastics Reports 7 Stochastic Analysis and Applications 6 Journal of Functional Analysis 6 Journal of Evolution Equations 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 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 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Communications in Partial Differential Equations 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Lecture Notes in Mathematics 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 The Annals of Applied Probability 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 SIAM Journal on Mathematical Analysis 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Nonlinear Science 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Mathematical Fluid Mechanics 2 Discrete and Continuous Dynamical Systems. Series B 2 Milan Journal of Mathematics 1 Communications on Pure and Applied Mathematics 1 Metrika 1 Stochastics 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Applied Probability 1 Journal of Differential Equations 1 Journal of Econometrics 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 Theory of Probability and Mathematical Statistics 1 Random Operators and Stochastic Equations 1 Bulletin des Sciences Mathématiques 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 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 130 Probability theory and stochastic processes (60-XX) 117 Partial differential equations (35-XX) 65 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) 16 Operator theory (47-XX) 15 Ordinary differential equations (34-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Biology and other natural sciences (92-XX) 5 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 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) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 165 Publications have been cited 3,652 times in 1,886 Documents Cited by ▼ Year ▼ Attractors for random dynamical systems. Zbl 0819.58023Crauel, Hans; Flandoli, Franco 458 1994 Random attractors. Zbl 0884.58064Crauel, Hans; Debussche, Arnaud; Flandoli, Franco 448 1997 Martingale and stationary solutions for stochastic Navier-Stokes equations. Zbl 0831.60072Flandoli, Franco; Gatarek, Dariusz 249 1995 Random attractors for the 3D stochastic Navier-Stokes equation with multiplicative white noise. Zbl 0870.60057Flandoli, Franco; Schmalfuss, Björn 243 1996 Well-posedness of the transport equation by stochastic perturbation. Zbl 1200.35226Flandoli, F.; Gubinelli, M.; Priola, E. 139 2010 Ergodicity of the 2-D Navier-Stokes equation under random perturbations. Zbl 0845.35080Flandoli, Franco; Maslowski, Bohdan 108 1995 Dissipativity and invariant measures for stochastic Navier-Stokes equations. Zbl 0820.35108Flandoli, Franco 88 1994 Markov selections for the 3D stochastic Navier-Stokes equations. Zbl 1133.76016Flandoli, Franco; Romito, Marco 64 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. 55 1988 An introduction to 3D stochastic fluid dynamics. Zbl 1426.76001Flandoli, Franco 54 2008 Noise prevents singularities in linear transport equations. Zbl 1273.60076Fedrizzi, E.; Flandoli, F. 53 2013 Additive noise destroys a pitchfork bifurcation. Zbl 0907.34042Crauel, Hans; Flandoli, Franco 48 1998 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. 47 2013 Random perturbation of PDEs and fluid dynamic models. École d’Été de Probabilités de Saint-Flour XL – 2010. Zbl 1221.35004Flandoli, Franco 44 2011 Hausdorff dimension of invariant sets for random dynamical systems. Zbl 0927.37031Crauel, Hans; Flandoli, Franco 37 1998 Pathwise uniqueness and continuous dependence for SDEs with non-regular drift. Zbl 1221.60081Fedrizzi, E.; Flandoli, F. 36 2011 Almost sure approximation of Wong-Zakai type for stochastic partial differential equations. Zbl 0842.60062Brzeźniak, Zdzisław; Flandoli, Franco 34 1995 Stochastic Navier-Stokes equations with multiplicative noise. Zbl 0762.35083Brzeźniak, Z.; Capiński, M.; Flandoli, F. 32 1992 A convergence result for stochastic partial differential equations. Zbl 0653.60049Brzeźniak, Z.; Capiński, M.; Flandoli, F. 32 1988 Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096Da Prato, G.; Flandoli, F. 32 2010 Hölder flow and differentiability for SDEs with nonregular drift. Zbl 1281.60055Fedrizzi, E.; Flandoli, F. 32 2013 Stochastic partial differential equations and turbulence. Zbl 0741.60058Brzeźniak, Z.; Capiński, M.; Flandoli, F. 30 1991 Regularity theory and stochastic flows for parabolic SPDEs. Zbl 0838.60054Flandoli, Franco 30 1995 Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force. Zbl 0931.35124Flandoli, Franco; Schmalfuß, Björn 29 1999 Stochastic inertial manifold. Zbl 0854.60059Bensoussan, Alain; Flandoli, Franco 28 1995 Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations. Zbl 1221.60082Flandoli, F.; Gubinelli, M.; Priola, E. 28 2011 Some SDEs with distributional drift. I: General calculus. Zbl 1054.60069Flandoli, Franco; Russo, Francesco; Wolf, Jochen 26 2003 Noise prevents collapse of Vlasov-Poisson point charges. Zbl 1302.35366Delarue, François; Flandoli, Franco; Vincenzi, Dario 25 2014 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. 24 1989 Dirichlet boundary value problem for stochastic parabolic equations: Compatibility relations and regularity of solutions. Zbl 0696.60057Flandoli, Franco 24 1990 Pathwise global attractors for stationary random dynamical systems. Zbl 0791.58056Brzeźniak, Zdzisław; Capiński, Marek; Flandoli, Franco 24 1993 Riccati equation arising in a boundary control problem with distributed parameters. Zbl 0533.49004Flandoli, Franco 24 1984 Initial boundary value problems and optimal control for nonautonomous parabolic systems. Zbl 0753.49003Acquistapace, P.; Flandoli, F.; Terreni, B. 24 1991 Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity. Zbl 1342.35231Brzeźniak, Zdzisław; Flandoli, Franco; Maurelli, Mario 22 2016 Renormalized solutions for stochastic transport equations and the regularization by bilinear multiplicative noise. Zbl 1237.60048Attanasio, S.; Flandoli, F. 22 2011 Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift. Zbl 1198.60023Flandoli, F.; Gubinelli, M.; Priola, E. 22 2010 Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051Crisan, Dan; Flandoli, Franco; Holm, Darryl D. 22 2019 Some SDEs with distributional drift. II: Lyons-Zheng structure, Itô’s formula and semimartingale characterization. Zbl 1088.60058Flandoli, Franco; Russo, Francesco; Wolf, Jochen 21 2004 Synchronization by noise. Zbl 1385.37017Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael 21 2017 Algebraic Riccati equation arising in boundary control problems. Zbl 0617.49004Flandoli, Franco 20 1987 An infinite-dimensional approach to path-dependent Kolmogorov equations. Zbl 1356.60101Flandoli, Franco; Zanco, Giovanni 20 2016 Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness. Zbl 1427.60103Beck, Lisa; Flandoli, Franco; Gubinelli, Massimiliano; Maurelli, Mario 20 2019 Weak vorticity formulation of 2D Euler equations with white noise initial condition. Zbl 1452.35269Flandoli, Franco 19 2018 Multidimensional stochastic differential equations with distributional drift. Zbl 1355.60074Flandoli, Franco; Issoglio, Elena; Russo, Francesco 19 2017 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 18 2016 Partial regularity for the stochastic Navier-Stokes equations. Zbl 0997.76018Flandoli, Franco; Romito, Marco 18 2002 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 18 2005 Some rigorous results on a stochastic GOY model. Zbl 1107.82057Barbato, D.; Barsanti, M.; Bessaih, H.; Flandoli, F. 18 2006 Stationary conjugation of flows for parabolic SPDEs with multiplicative noise and some applications. Zbl 1063.60089Flandoli, Franco; Lisei, Hannelore 17 2004 2-D Euler equation perturbed by noise. Zbl 0923.35122Bessaih, Hakima; Flandoli, Franco 17 1999 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 17 2015 Markovianity and ergodicity for a surface growth PDE. Zbl 1184.60024Blömker, Dirk; Flandoli, Franco; Romito, Marco 16 2009 Direct solution of a Riccati equation arising in a stochastic control problem with control and observation on the boundary. Zbl 0606.93070Flandoli, Franco 16 1986 Uniqueness for a stochastic inviscid dyadic model. Zbl 1196.60112Barbato, D.; Flandoli, F.; Morandin, F. 16 2010 Propagation of chaos for interacting particles subject to environmental noise. Zbl 1345.60113Coghi, Michele; Flandoli, Franco 15 2016 Kolmogorov equation associated to a stochastic Navier-Stokes equation. Zbl 0928.60044Flandoli, F.; Gozzi, F. 15 1998 Irreducibility of the 3-D stochastic Navier-Stokes equation. Zbl 0887.35171Flandoli, Franco 15 1997 Regularity of stochastic kinetic equations. Zbl 1371.35372Fedrizzi, Ennio; Flandoli, Franco; Priola, Enrico; Vovelle, Julien 15 2017 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 14 2007 The Gibbs ensemble of a vortex filament. Zbl 0992.60058Flandoli, Franco; Gubinelli, Massimiliano 14 2002 Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M. 14 2008 Synchronization by noise for order-preserving random dynamical systems. Zbl 1379.37101Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael 14 2017 Energy dissipation and self-similar solutions for an unforced inviscid dyadic model. Zbl 1301.37061Barbato, D.; Flandoli, F.; Morandin, F. 13 2011 Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation. Zbl 1136.35112Flandoli, Franco; Romito, Marco 13 2007 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 Zero-noise solutions of linear transport equations without uniqueness: An example. Zbl 1167.35006Attanasio, Stefano; Flandoli, Franco 13 2009 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 On a probabilistic description of small scale structures in 3D fluids. Zbl 1017.76074Flandoli, Franco 12 2002 Weak attractor for a dissipative Euler equation. Zbl 1027.35101Bessaih, H.; Flandoli, F. 11 2000 Remarks on uniqueness and strong solutions to deterministic and stochastic differential equations. Zbl 1433.34079Flandoli, Franco 11 2009 Noise prevents infinite stretching of the passive field in a stochastic vector advection equation. Zbl 1322.60109Flandoli, Franco; Maurelli, Mario; Neklyudov, Mikhail 11 2014 mSQG equations in distributional spaces and point vortex approximation. Zbl 1439.60060Flandoli, Franco; Saal, Martin 11 2019 Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure. Zbl 1440.35234Flandoli, Franco; Luo, Dejun 11 2020 Anomalous dissipation in a stochastic inviscid dyadic model. Zbl 1259.60064Barbato, David; Flandoli, Franco; Morandin, Francesco 10 2011 \(\rho\)-white noise solution to 2D stochastic Euler equations. Zbl 1425.60058Flandoli, Franco; Luo, Dejun 10 2019 Determining modes for dissipative random dynamical systems. Zbl 0923.35213Flandoli, Franco; Langa, Jose A. 10 1999 Stochastic currents. Zbl 1087.60043Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M. 10 2005 Kolmogorov equations associated to the stochastic two dimensional Euler equations. Zbl 1426.35183Flandoli, Franco; Luo, Dejun 10 2019 Stochastic parabolic equations in bounded domains: Random evolution operator and Lyapunov exponents. Zbl 0704.60060Flandoli, Franco; Schaumlöffel, Kay-Uwe 9 1990 A dyadic model on a tree. Zbl 1410.34133Barbato, David; Bianchi, Luigi Amedeo; Flandoli, Franco; Morandin, Francesco 9 2013 The interaction between noise and transport mechanisms in PDEs. Zbl 1231.35165Flandoli, Franco 9 2011 Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020Flandoli, Franco; Mahalov, Alex 9 2012 Stochastic differential equations in fluid dynamics. Zbl 0920.60048Flandoli, Franco 9 1998 The transition point in the zero noise limit for a 1D Peano example. Zbl 1314.60113Delarue, François; Flandoli, Franco 9 2014 Stochastic flows for nonlinear second-order parabolic SPDE. Zbl 0870.60056Flandoli, Franco 8 1996 Limit behaviour of a dense collection of vortex filaments. Zbl 1137.76387Bessaih, H.; Flandoli, F. 8 2004 Regularizing properties of Brownian paths and a result of Davie. Zbl 1236.60077Flandoli, Franco 8 2011 Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 8 2014 Stochastic attractors for shell phenomenological models of turbulence. Zbl 1402.76056Bessaih, Hakima; Flandoli, Franco; Titi, Edriss S. 8 2010 A theorem of uniqueness for an inviscid dyadic model. Zbl 1353.34017Barbato, D.; Flandoli, Franco; Morandin, Francesco 7 2010 Remarks on the stochastic transport equation with Hölder drift. Zbl 1292.60063Flandoli, F.; Gubinelli, M.; Priola, E. 6 2012 On the semigroup approach to stochastic evolution equations. Zbl 0762.60046Flandoli, Franco 6 1992 On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093Berselli, Luigi C.; Flandoli, Franco 6 2010 Stochastic Navier-Stokes equations and related models. Zbl 1446.35093Bianchi, Luigi Amedeo; Flandoli, Franco 6 2020 A stochastic reaction-diffusion equation with multiplicative noise. Zbl 0725.60091Flandoli, Franco 5 1991 Random currents and probabilistic models of vortex filaments. Zbl 1064.60118Flandoli, Franco; Gubinelli, Massimiliano 5 2004 Statistically stationary solutions to the 3-D Navier-Stokes equation do not show singularities. Zbl 0973.35148Flandoli, Franco; Romito, Marco 5 2001 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 High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations. Zbl 1469.60205Flandoli, Franco; Luo, Dejun 4 2021 Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations. Zbl 1464.35197Flandoli, Franco; Galeati, Lucio; Luo, Dejun 3 2021 Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise. Zbl 1452.76054Flandoli, Franco; Luo, Dejun 2 2021 A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis. Zbl 1465.65111Flandoli, Franco; Luo, Dejun; Ricci, Cristiano 1 2021 2D Euler equations with Stratonovich transport noise as a large-scale stochastic model reduction. Zbl 1466.76010Flandoli, Franco; Pappalettera, Umberto 1 2021 Ill posedness for the full Euler system driven by multiplicative white noise. Zbl 07403319Chiodaroli, Elisabetta; Feireisl, Eduard; Flandoli, Franco 1 2021 Delayed blow-up by transport noise. Zbl 1477.60096Flandoli, Franco; Galeati, Lucio; Luo, Dejun 1 2021 Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure. Zbl 1440.35234Flandoli, Franco; Luo, Dejun 11 2020 Stochastic Navier-Stokes equations and related models. Zbl 1446.35093Bianchi, Luigi Amedeo; Flandoli, Franco 6 2020 Energy conditional measures and 2D turbulence. Zbl 1432.76108Flandoli, Franco; Luo, Dejun 4 2020 Properties of bounded stochastic processes employed in biophysics. Zbl 1457.60107Domingo, Dario; d’Onofrio, Alberto; Flandoli, Franco 1 2020 Uniform approximation of 2 dimensional Navier-Stokes equation by stochastic interacting particle systems. Zbl 1456.60165Flandoli, Franco; Olivera, Christian; Simon, Marielle 1 2020 Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051Crisan, Dan; Flandoli, Franco; Holm, Darryl D. 22 2019 Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness. Zbl 1427.60103Beck, Lisa; Flandoli, Franco; Gubinelli, Massimiliano; Maurelli, Mario 20 2019 mSQG equations in distributional spaces and point vortex approximation. Zbl 1439.60060Flandoli, Franco; Saal, Martin 11 2019 \(\rho\)-white noise solution to 2D stochastic Euler equations. Zbl 1425.60058Flandoli, Franco; Luo, Dejun 10 2019 Kolmogorov equations associated to the stochastic two dimensional Euler equations. Zbl 1426.35183Flandoli, Franco; Luo, Dejun 10 2019 Uniform convergence of proliferating particles to the FKPP equation. Zbl 1433.60089Flandoli, Franco; Leimbach, Matti; Olivera, Christian 5 2019 Euler-Lagrangian approach to 3D stochastic Euler equations. Zbl 1435.35290Flandoli, Franco; Luo, Dejun 4 2019 Mean field limit of interacting filaments for 3D Euler equations. Zbl 1412.35235Bessaih, Hakima; Coghi, Michele; Flandoli, Franco 3 2019 A non-linear kinetic model of self-propelled particles with multiple equilibria. Zbl 1428.35598Buttà, Paolo; Flandoli, Franco; Ottobre, Michela; Zegarlinski, Boguslaw 3 2019 A mean-field model with discontinuous coefficients for neurons with spatial interaction. Zbl 1415.60061Flandoli, Franco; Priola, Enrico; Zanco, Giovanni 3 2019 On the mean field approximation of a stochastic model of tumour-induced angiogenesis. Zbl 1429.92040Capasso, V.; Flandoli, F. 2 2019 A particle system approach to aggregation phenomena. Zbl 1416.35139Flandoli, Franco; Leocata, Marta 2 2019 The Vlasov-Navier-Stokes equations as a mean field limit. Zbl 1429.35054Flandoli, Franco; Leocata, Marta; Ricci, Cristiano 2 2019 Absolutely continuous solutions for continuity equations in Hilbert spaces. Zbl 1418.35074Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 1 2019 Weak vorticity formulation of 2D Euler equations with white noise initial condition. Zbl 1452.35269Flandoli, Franco 19 2018 Infinite-dimensional calculus under weak spatial regularity of the processes. Zbl 1429.60053Flandoli, Franco; Russo, Francesco; Zanco, Giovanni 4 2018 Well-posedness of the vector advection equations by stochastic perturbation. Zbl 1394.60068Flandoli, Franco; Olivera, Christian 2 2018 Synchronization by noise. Zbl 1385.37017Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael 21 2017 Multidimensional stochastic differential equations with distributional drift. Zbl 1355.60074Flandoli, Franco; Issoglio, Elena; Russo, Francesco 19 2017 Regularity of stochastic kinetic equations. Zbl 1371.35372Fedrizzi, Ennio; Flandoli, Franco; Priola, Enrico; Vovelle, Julien 15 2017 Synchronization by noise for order-preserving random dynamical systems. Zbl 1379.37101Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael 14 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 Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity. Zbl 1342.35231Brzeźniak, Zdzisław; Flandoli, Franco; Maurelli, Mario 22 2016 An infinite-dimensional approach to path-dependent Kolmogorov equations. Zbl 1356.60101Flandoli, Franco; Zanco, Giovanni 20 2016 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 18 2016 Propagation of chaos for interacting particles subject to environmental noise. Zbl 1345.60113Coghi, Michele; Flandoli, Franco 15 2016 Mean field limit with proliferation. Zbl 1353.60085Flandoli, Franco; Leimbach, Matti 2 2016 Remarks on stochastic Navier-Stokes equations. Zbl 1373.35217Flandoli, Franco 2 2016 On stochastic distributions and currents. Zbl 1369.28003Capasso, Vincenzo; Flandoli, Franco 2 2016 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 17 2015 A stochastic view over the open problem of well-posedness for the 3D Navier-Stokes equations. Zbl 1330.35289Flandoli, Franco 3 2015 Stochastic analysis: a series of lectures. Centre Interfacultaire Bernoulli, January – June 2012, École Polytechnique Fédérale Lausanne, Switzerland. Zbl 1330.60004 2 2015 Noise prevents collapse of Vlasov-Poisson point charges. Zbl 1302.35366Delarue, François; Flandoli, Franco; Vincenzi, Dario 25 2014 Noise prevents infinite stretching of the passive field in a stochastic vector advection equation. Zbl 1322.60109Flandoli, Franco; Maurelli, Mario; Neklyudov, Mikhail 11 2014 The transition point in the zero noise limit for a 1D Peano example. Zbl 1314.60113Delarue, François; Flandoli, Franco 9 2014 Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 8 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. 53 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. 47 2013 Hölder flow and differentiability for SDEs with nonregular drift. Zbl 1281.60055Fedrizzi, E.; Flandoli, F. 32 2013 A dyadic model on a tree. Zbl 1410.34133Barbato, David; Bianchi, Luigi Amedeo; Flandoli, Franco; Morandin, Francesco 9 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 4 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. 2 2013 Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020Flandoli, Franco; Mahalov, Alex 9 2012 Remarks on the stochastic transport equation with Hölder drift. Zbl 1292.60063Flandoli, F.; Gubinelli, M.; Priola, E. 6 2012 Random perturbation of PDEs and fluid dynamic models. École d’Été de Probabilités de Saint-Flour XL – 2010. Zbl 1221.35004Flandoli, Franco 44 2011 Pathwise uniqueness and continuous dependence for SDEs with non-regular drift. Zbl 1221.60081Fedrizzi, E.; Flandoli, F. 36 2011 Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations. Zbl 1221.60082Flandoli, F.; Gubinelli, M.; Priola, E. 28 2011 Renormalized solutions for stochastic transport equations and the regularization by bilinear multiplicative noise. Zbl 1237.60048Attanasio, S.; Flandoli, F. 22 2011 Energy dissipation and self-similar solutions for an unforced inviscid dyadic model. Zbl 1301.37061Barbato, D.; Flandoli, F.; Morandin, F. 13 2011 Anomalous dissipation in a stochastic inviscid dyadic model. Zbl 1259.60064Barbato, David; Flandoli, Franco; Morandin, Francesco 10 2011 The interaction between noise and transport mechanisms in PDEs. Zbl 1231.35165Flandoli, Franco 9 2011 Regularizing properties of Brownian paths and a result of Davie. Zbl 1236.60077Flandoli, Franco 8 2011 Conservative interacting particles system with anomalous rate of ergodicity. Zbl 1230.82036Brzeźniak, Z.; Flandoli, F.; Neklyudov, M.; Zegarliński, B. 2 2011 Well-posedness of the transport equation by stochastic perturbation. Zbl 1200.35226Flandoli, F.; Gubinelli, M.; Priola, E. 139 2010 Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096Da Prato, G.; Flandoli, F. 32 2010 Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift. Zbl 1198.60023Flandoli, F.; Gubinelli, M.; Priola, E. 22 2010 Uniqueness for a stochastic inviscid dyadic model. Zbl 1196.60112Barbato, D.; Flandoli, F.; Morandin, F. 16 2010 Stochastic attractors for shell phenomenological models of turbulence. Zbl 1402.76056Bessaih, Hakima; Flandoli, Franco; Titi, Edriss S. 8 2010 A theorem of uniqueness for an inviscid dyadic model. Zbl 1353.34017Barbato, D.; Flandoli, Franco; Morandin, Francesco 7 2010 On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093Berselli, Luigi C.; Flandoli, Franco 6 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 16 2009 Zero-noise solutions of linear transport equations without uniqueness: An example. Zbl 1167.35006Attanasio, Stefano; Flandoli, Franco 13 2009 Remarks on uniqueness and strong solutions to deterministic and stochastic differential equations. Zbl 1433.34079Flandoli, Franco 11 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 64 2008 An introduction to 3D stochastic fluid dynamics. Zbl 1426.76001Flandoli, Franco 54 2008 Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M. 14 2008 Markov attractors: a probabilistic approach to multivalued flows. Zbl 1163.34037Flandoli, Franco; Langa, José A. 5 2008 On a stochastic version of Prouse model in fluid dynamics. Zbl 1134.76011Ferrario, B.; Flandoli, F. 2 2008 Infinite dimensional random dynamical systems and their applications. Abstracts from the workshop held November 2nd – November 8th, 2008. Zbl 1177.37006 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 14 2007 Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation. Zbl 1136.35112Flandoli, Franco; Romito, Marco 13 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. 18 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 18 2005 Stochastic currents. Zbl 1087.60043Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M. 10 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 21 2004 Stationary conjugation of flows for parabolic SPDEs with multiplicative noise and some applications. Zbl 1063.60089Flandoli, Franco; Lisei, Hannelore 17 2004 ...and 65 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,484 Authors 105 Flandoli, Franco 50 Wang, Bixiang 48 Caraballo Garrido, Tomás 34 Röckner, Michael 33 Brzeźniak, Zdzisław 33 Duan, Jinqiao 32 Kloeden, Peter Eris 32 Zhou, Shengfan 30 Langa, Jose’ Antonio 29 Lasiecka, Irena 28 Li, Yangrong 28 Russo, Francesco 26 Guo, Boling 25 Lu, Kening 24 Gess, Benjamin 23 Da Prato, Giuseppe 22 Schmalfuß, Björn 22 Triggiani, Roberto 22 Zhang, Xicheng 21 Bessaih, Hakima 21 Luo, Dejun 20 Romito, Marco 19 Gubinelli, Massimiliano 19 Real Anguas, José 19 Shu, Ji 19 Zhao, Wenqiang 18 Gao, Hongjun 18 Olivera, Christian 17 Debussche, Arnaud 16 Glatt-Holtz, Nathan E. 16 Holm, Darryl D. 16 Robinson, James Cooper 16 Scheutzow, Michael K. R. 16 Tachim Medjo, Theodore 16 Zhang, Tusheng S. 15 Barbu, Viorel 15 Blömker, Dirk 15 Cui, Hongyong 15 Ferrario, Benedetta 15 Gu, Anhui 15 Han, Xiaoying 15 Li, Dingshi 15 Marín-Rubio, Pedro 15 Razafimandimby, Paul André 15 Temam, Roger Meyer 14 Dong, Zhao 14 Hofmanová, Martina 14 Huang, Jianhua 14 Valero, José 14 Yamazaki, Kazuo 13 Wang, Xiaohu 12 Breit, Dominic 12 Chueshov, Igor’ Dmitrievich 12 Shi, Lin 12 Wang, Renhai 12 Wang, Yejuan 12 Wang, Zhaojuan 11 Feireisl, Eduard 11 Guo, Chunxiao 11 Hausenblas, Erika 11 Priola, Enrico 11 Zhang, Rangrang 10 Anguiano, María 10 Crauel, Hans 10 Garrido-Atienza, María José 10 Gozzi, Fausto 10 Lv, Guangying 10 Ma, Qiaozhen 10 Manna, Utpal 10 Nilssen, Torstein K. 10 Shirikyan, Armen R. 10 Xie, Longjie 10 Yang, Meihua 10 Zhai, Jianliang 10 Zhu, RongChan 9 Chekroun, Mickaël D. 9 Deugoue, Gabriel 9 Guo, Yanfeng 9 Hairer, Martin 9 Maslowski, Bohdan 9 Mattingly, Jonathan Christopher 9 Morandin, Francesco 9 Proske, Frank Norbert 9 Wei, Jinlong 9 Xie, Yingchao 9 You, Yuncheng 8 Barbato, David 8 Bellomo, Nicola 8 Krylov, Nicolaĭ Vladimirovich 8 Kühn, Christian 8 Mohan, Manil Thankamani 8 Shen, Wenxian 8 You, Bo 8 Zhao, Caidi 8 Zhu, Xiang-Chan 7 Coghi, Michele 7 Friz, Peter Karl 7 Goldys, Beniamin 7 Ju, Xuewei 7 Kuksin, Sergeĭ B. ...and 1,384 more Authors all top 5 Cited in 263 Serials 135 Journal of Differential Equations 81 Stochastics and Dynamics 76 Journal of Mathematical Analysis and Applications 75 Stochastic Processes and their Applications 67 Discrete and Continuous Dynamical Systems. Series B 57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 57 Stochastic Analysis and Applications 43 Discrete and Continuous Dynamical Systems 39 Journal of Functional Analysis 37 Journal of Mathematical Physics 36 The Annals of Probability 31 Applied Mathematics and Optimization 31 Probability Theory and Related Fields 31 Stochastic and Partial Differential Equations. Analysis and Computations 30 Journal of Dynamics and Differential Equations 29 Journal of Statistical Physics 28 Communications in Mathematical Physics 28 Physica D 28 Communications on Pure and Applied Analysis 26 NoDEA. Nonlinear Differential Equations and Applications 20 SIAM Journal on Mathematical Analysis 18 Journal of Evolution Equations 17 Archive for Rational Mechanics and Analysis 17 Nonlinearity 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Nonlinear Analysis. Real World Applications 16 Computers & Mathematics with Applications 16 The Annals of Applied Probability 16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 16 Potential Analysis 16 Dynamical Systems 15 Journal of Theoretical Probability 15 Journal of Nonlinear Science 15 Electronic Journal of Probability 15 Infinite Dimensional Analysis, Quantum Probability and Related Topics 15 Journal of Mathematical Fluid Mechanics 14 Applied Mathematics and Computation 14 Transactions of the American Mathematical Society 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Abstract and Applied Analysis 12 Applicable Analysis 12 Boundary Value Problems 11 Mathematical and Computer Modelling 11 Advances in Difference Equations 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 SIAM Journal on Control and Optimization 10 Journal of Difference Equations and Applications 10 Comptes Rendus. Mathématique. 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English Series 5 Applied Mathematics Letters 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Mathematical Problems in Engineering 5 Discrete Dynamics in Nature and Society 5 Open Mathematics 5 AIMS Mathematics 4 Reviews in Mathematical Physics 4 Chaos, Solitons and Fractals 4 Czechoslovak Mathematical Journal 4 Indiana University Mathematics Journal 4 Mathematische Nachrichten 4 Ergodic Theory and Dynamical Systems 4 Statistics & Probability Letters 4 Applied Mathematics and Mechanics. (English Edition) 4 Chinese Annals of Mathematics. Series B 4 Revista Matemática Iberoamericana 4 MCSS. Mathematics of Control, Signals, and Systems 4 European Journal of Control 4 Nonlinear Dynamics 4 Chaos 4 Journal of the European Mathematical Society (JEMS) 4 Frontiers of Mathematics in China 4 Discrete and Continuous Dynamical Systems. Series S 4 Nonlinear Analysis. Theory, Methods & Applications 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Physica A 3 Mathematics of Computation 3 Integral Equations and Operator Theory 3 Numerische Mathematik 3 Applied Mathematical Modelling 3 SIAM Journal on Scientific Computing ...and 163 more Serials all top 5 Cited in 44 Fields 1,155 Probability theory and stochastic processes (60-XX) 1,154 Partial differential equations (35-XX) 600 Dynamical systems and ergodic theory (37-XX) 395 Fluid mechanics (76-XX) 192 Ordinary differential equations (34-XX) 113 Systems theory; control (93-XX) 98 Numerical analysis (65-XX) 94 Calculus of variations and optimal control; optimization (49-XX) 80 Operator theory (47-XX) 63 Statistical mechanics, structure of matter (82-XX) 57 Biology and other natural sciences (92-XX) 51 Geophysics (86-XX) 31 Mechanics of deformable solids (74-XX) 26 Global analysis, analysis on manifolds (58-XX) 20 Functional analysis (46-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Real functions (26-XX) 14 Measure and integration (28-XX) 14 Mechanics of particles and systems (70-XX) 13 Integral equations (45-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Difference and functional equations (39-XX) 9 Statistics (62-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Quantum theory (81-XX) 6 Operations research, mathematical programming (90-XX) 5 Potential theory (31-XX) 5 Abstract harmonic analysis (43-XX) 5 Differential geometry (53-XX) 5 Optics, electromagnetic theory (78-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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