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Flandoli, Franco

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Author ID: flandoli.franco Recent zbMATH articles by "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
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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

Publications by Year

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 0819.58023
Crauel, Hans; Flandoli, Franco
399
1994
Random attractors. Zbl 0884.58064
Crauel, Hans; Debussche, Arnaud; Flandoli, Franco
385
1997
Random attractors for the 3D stochastic Navier-Stokes equation with multiplicative white noise. Zbl 0870.60057
Flandoli, Franco; Schmalfuss, Björn
201
1996
Martingale and stationary solutions for stochastic Navier-Stokes equations. Zbl 0831.60072
Flandoli, Franco; Gatarek, Dariusz
199
1995
Well-posedness of the transport equation by stochastic perturbation. Zbl 1200.35226
Flandoli, F.; Gubinelli, M.; Priola, E.
112
2010
Ergodicity of the 2-D Navier-Stokes equation under random perturbations. Zbl 0845.35080
Flandoli, Franco; Maslowski, Bohdan
90
1995
Dissipativity and invariant measures for stochastic Navier-Stokes equations. Zbl 0820.35108
Flandoli, Franco
78
1994
Markov selections for the 3D stochastic Navier-Stokes equations. Zbl 1133.76016
Flandoli, Franco; Romito, Marco
53
2008
Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems. Zbl 0674.49004
Flandoli, F.; Lasiecka, I.; Triggiani, R.
53
1988
An introduction to 3D stochastic fluid dynamics. Zbl 1426.76001
Flandoli, Franco
45
2008
Additive noise destroys a pitchfork bifurcation. Zbl 0907.34042
Crauel, Hans; Flandoli, Franco
45
1998
Noise prevents singularities in linear transport equations. Zbl 1273.60076
Fedrizzi, E.; Flandoli, F.
41
2013
Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. Zbl 1291.35455
Da 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 1221.35004
Flandoli, Franco
38
2011
Hausdorff dimension of invariant sets for random dynamical systems. Zbl 0927.37031
Crauel, Hans; Flandoli, Franco
37
1998
Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096
Da Prato, G.; Flandoli, F.
28
2010
Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force. Zbl 0931.35124
Flandoli, Franco; Schmalfuß, Björn
28
1999
A convergence result for stochastic partial differential equations. Zbl 0653.60049
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
28
1988
Almost sure approximation of Wong-Zakai type for stochastic partial differential equations. Zbl 0842.60062
Brzeźniak, Zdzisław; Flandoli, Franco
26
1995
Pathwise uniqueness and continuous dependence for SDEs with non-regular drift. Zbl 1221.60081
Fedrizzi, 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 0706.60063
Bellomo, N.; Flandoli, F.
25
1989
Hölder flow and differentiability for SDEs with nonregular drift. Zbl 1281.60055
Fedrizzi, E.; Flandoli, F.
24
2013
Stochastic inertial manifold. Zbl 0854.60059
Bensoussan, Alain; Flandoli, Franco
24
1995
Regularity theory and stochastic flows for parabolic SPDEs. Zbl 0838.60054
Flandoli, Franco
24
1995
Stochastic Navier-Stokes equations with multiplicative noise. Zbl 0762.35083
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
24
1992
Stochastic partial differential equations and turbulence. Zbl 0741.60058
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
24
1991
Riccati equation arising in a boundary control problem with distributed parameters. Zbl 0533.49004
Flandoli, Franco
24
1984
Dirichlet boundary value problem for stochastic parabolic equations: Compatibility relations and regularity of solutions. Zbl 0696.60057
Flandoli, Franco
23
1990
Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations. Zbl 1221.60082
Flandoli, F.; Gubinelli, M.; Priola, E.
22
2011
Noise prevents collapse of Vlasov-Poisson point charges. Zbl 1302.35366
Delarue, François; Flandoli, Franco; Vincenzi, Dario
21
2014
Some SDEs with distributional drift. I: General calculus. Zbl 1054.60069
Flandoli, 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 1075.76019
Busnello, Barbara; Flandoli, Franco; Romito, Marco
19
2005
Initial boundary value problems and optimal control for nonautonomous parabolic systems. Zbl 0753.49003
Acquistapace, P.; Flandoli, F.; Terreni, B.
19
1991
Algebraic Riccati equation arising in boundary control problems. Zbl 0617.49004
Flandoli, Franco
19
1987
Pathwise global attractors for stationary random dynamical systems. Zbl 0791.58056
Brzeźniak, Zdzisław; Capiński, Marek; Flandoli, Franco
18
1993
Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift. Zbl 1198.60023
Flandoli, F.; Gubinelli, M.; Priola, E.
17
2010
Some rigorous results on a stochastic GOY model. Zbl 1107.82057
Barbato, 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 1088.60058
Flandoli, Franco; Russo, Francesco; Wolf, Jochen
17
2004
Synchronization by noise. Zbl 1385.37017
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
16
2017
Stationary conjugation of flows for parabolic SPDEs with multiplicative noise and some applications. Zbl 1063.60089
Flandoli, Franco; Lisei, Hannelore
16
2004
Partial regularity for the stochastic Navier-Stokes equations. Zbl 0997.76018
Flandoli, Franco; Romito, Marco
16
2002
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077
Da 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 1237.60048
Attanasio, S.; Flandoli, F.
15
2011
Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation. Zbl 1109.58035
Cruzeiro, 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 0606.93070
Flandoli, Franco
15
1986
An infinite-dimensional approach to path-dependent Kolmogorov equations. Zbl 1356.60101
Flandoli, Franco; Zanco, Giovanni
14
2016
Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity. Zbl 1342.35231
Brzeźniak, Zdzisław; Flandoli, Franco; Maurelli, Mario
14
2016
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
14
2015
2-D Euler equation perturbed by noise. Zbl 0923.35122
Bessaih, Hakima; Flandoli, Franco
14
1999
Uniqueness for a stochastic inviscid dyadic model. Zbl 1196.60112
Barbato, D.; Flandoli, F.; Morandin, F.
13
2010
Markovianity and ergodicity for a surface growth PDE. Zbl 1184.60024
Blömker, Dirk; Flandoli, Franco; Romito, Marco
13
2009
Markov selections and their regularity for the three-dimensional stochastic Navier-Stokes equations. Zbl 1098.60059
Flandoli, Franco; Romito, Marco
13
2006
Generalized integration and stochastic ODEs. Zbl 1022.60054
Flandoli, Franco; Russo, Francesco
13
2002
The Gibbs ensemble of a vortex filament. Zbl 0992.60058
Flandoli, Franco; Gubinelli, Massimiliano
13
2002
Kolmogorov equation associated to a stochastic Navier-Stokes equation. Zbl 0928.60044
Flandoli, F.; Gozzi, F.
13
1998
Irreducibility of the 3-D stochastic Navier-Stokes equation. Zbl 0887.35171
Flandoli, Franco
13
1997
Synchronization by noise for order-preserving random dynamical systems. Zbl 1379.37101
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
12
2017
Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011
Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M.
12
2008
Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation. Zbl 1136.35112
Flandoli, Franco; Romito, Marco
12
2007
A multiplicative ergodic theorem with applications to a first order stochastic hyperbolic equation in a bounded domain. Zbl 0724.60072
Schaumlöffel, Kay-Uwe; Flandoli, Franco
12
1991
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
11
2019
Weak vorticity formulation of 2D Euler equations with white noise initial condition. Zbl 07024453
Flandoli, Franco
11
2018
Regularity of stochastic kinetic equations. Zbl 1371.35372
Fedrizzi, Ennio; Flandoli, Franco; Priola, Enrico; Vovelle, Julien
11
2017
Energy dissipation and self-similar solutions for an unforced inviscid dyadic model. Zbl 1301.37061
Barbato, D.; Flandoli, F.; Morandin, F.
11
2011
Remarks on uniqueness and strong solutions to deterministic and stochastic differential equations. Zbl 1433.34079
Flandoli, Franco
11
2009
On a probabilistic description of small scale structures in 3D fluids. Zbl 1017.76074
Flandoli, Franco
11
2002
Multidimensional stochastic differential equations with distributional drift. Zbl 1355.60074
Flandoli, Franco; Issoglio, Elena; Russo, Francesco
10
2017
Zero-noise solutions of linear transport equations without uniqueness: An example. Zbl 1167.35006
Attanasio, Stefano; Flandoli, Franco
10
2009
Weak attractor for a dissipative Euler equation. Zbl 1027.35101
Bessaih, H.; Flandoli, F.
10
2000
Stochastic currents. Zbl 1087.60043
Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M.
9
2005
Determining modes for dissipative random dynamical systems. Zbl 0923.35213
Flandoli, Franco; Langa, Jose A.
9
1999
Stochastic parabolic equations in bounded domains: Random evolution operator and Lyapunov exponents. Zbl 0704.60060
Flandoli, Franco; Schaumlöffel, Kay-Uwe
9
1990
Anomalous dissipation in a stochastic inviscid dyadic model. Zbl 1259.60064
Barbato, David; Flandoli, Franco; Morandin, Francesco
8
2011
The interaction between noise and transport mechanisms in PDEs. Zbl 1231.35165
Flandoli, Franco
8
2011
Limit behaviour of a dense collection of vortex filaments. Zbl 1137.76387
Bessaih, H.; Flandoli, F.
8
2004
Stochastic differential equations in fluid dynamics. Zbl 0920.60048
Flandoli, Franco
8
1998
Stochastic flows for nonlinear second-order parabolic SPDE. Zbl 0870.60056
Flandoli, Franco
8
1996
Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael
7
2014
Stochastic attractors for shell phenomenological models of turbulence. Zbl 1402.76056
Bessaih, Hakima; Flandoli, Franco; Titi, Edriss S.
7
2010
Propagation of chaos for interacting particles subject to environmental noise. Zbl 1345.60113
Coghi, Michele; Flandoli, Franco
6
2016
Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020
Flandoli, Franco; Mahalov, Alex
6
2012
A theorem of uniqueness for an inviscid dyadic model. Zbl 1353.34017
Barbato, D.; Flandoli, Franco; Morandin, Francesco
6
2010
On the semigroup approach to stochastic evolution equations. Zbl 0762.60046
Flandoli, Franco
6
1992
Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure. Zbl 1440.35234
Flandoli, Franco; Luo, Dejun
5
2020
mSQG equations in distributional spaces and point vortex approximation. Zbl 1439.60060
Flandoli, Franco; Saal, Martin
5
2019
Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness. Zbl 1427.60103
Beck, Lisa; Flandoli, Franco; Gubinelli, Massimiliano; Maurelli, Mario
5
2019
\(\rho\)-white noise solution to 2D stochastic Euler equations. Zbl 1425.60058
Flandoli, Franco; Luo, Dejun
5
2019
Kolmogorov equations associated to the stochastic two dimensional Euler equations. Zbl 1426.35183
Flandoli, Franco; Luo, Dejun
5
2019
The transition point in the zero noise limit for a 1D Peano example. Zbl 1314.60113
Delarue, François; Flandoli, Franco
5
2014
A dyadic model on a tree. Zbl 1410.34133
Barbato, 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 1171.76019
Flandoli, Franco; Gubinelli, Massimiliano; Russo, Francesco
5
2009
On the method of Da Prato and Debussche for the 3D stochastic Navier-Stokes equations. Zbl 1103.76019
Flandoli, F.
5
2006
Random currents and probabilistic models of vortex filaments. Zbl 1064.60118
Flandoli, Franco; Gubinelli, Massimiliano
5
2004
Generalized calculus and SDEs with non regular drift. Zbl 1007.60046
Flandoli, Franco; Russo, Francesco
5
2002
Probabilistic models of vortex filaments. Zbl 1001.60057
Flandoli, Franco; Minelli, Ida
5
2001
Statistically stationary solutions to the 3-D Navier-Stokes equation do not show singularities. Zbl 0973.35148
Flandoli, Franco; Romito, Marco
5
2001
Noise prevents infinite stretching of the passive field in a stochastic vector advection equation. Zbl 1322.60109
Flandoli, Franco; Maurelli, Mario; Neklyudov, Mikhail
4
2014
Remarks on the stochastic transport equation with Hölder drift. Zbl 1292.60063
Flandoli, F.; Gubinelli, M.; Priola, E.
4
2012
Regularizing properties of Brownian paths and a result of Davie. Zbl 1236.60077
Flandoli, Franco
4
2011
On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093
Berselli, Luigi C.; Flandoli, Franco
4
2010
Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure. Zbl 1440.35234
Flandoli, Franco; Luo, Dejun
5
2020
Stochastic Navier-Stokes equations and related models. Zbl 1446.35093
Bianchi, Luigi Amedeo; Flandoli, Franco
3
2020
Energy conditional measures and 2D turbulence. Zbl 1432.76108
Flandoli, Franco; Luo, Dejun
3
2020
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
11
2019
mSQG equations in distributional spaces and point vortex approximation. Zbl 1439.60060
Flandoli, Franco; Saal, Martin
5
2019
Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness. Zbl 1427.60103
Beck, Lisa; Flandoli, Franco; Gubinelli, Massimiliano; Maurelli, Mario
5
2019
\(\rho\)-white noise solution to 2D stochastic Euler equations. Zbl 1425.60058
Flandoli, Franco; Luo, Dejun
5
2019
Kolmogorov equations associated to the stochastic two dimensional Euler equations. Zbl 1426.35183
Flandoli, Franco; Luo, Dejun
5
2019
Uniform convergence of proliferating particles to the FKPP equation. Zbl 1433.60089
Flandoli, Franco; Leimbach, Matti; Olivera, Christian
3
2019
A particle system approach to aggregation phenomena. Zbl 1416.35139
Flandoli, Franco; Leocata, Marta
2
2019
Mean field limit of interacting filaments for 3D Euler equations. Zbl 1412.35235
Bessaih, Hakima; Coghi, Michele; Flandoli, Franco
2
2019
A non-linear kinetic model of self-propelled particles with multiple equilibria. Zbl 1428.35598
Buttà, Paolo; Flandoli, Franco; Ottobre, Michela; Zegarlinski, Boguslaw
1
2019
The Vlasov-Navier-Stokes equations as a mean field limit. Zbl 1429.35054
Flandoli, Franco; Leocata, Marta; Ricci, Cristiano
1
2019
A mean-field model with discontinuous coefficients for neurons with spatial interaction. Zbl 1415.60061
Flandoli, Franco; Priola, Enrico; Zanco, Giovanni
1
2019
Weak vorticity formulation of 2D Euler equations with white noise initial condition. Zbl 07024453
Flandoli, Franco
11
2018
Well-posedness of the vector advection equations by stochastic perturbation. Zbl 1394.60068
Flandoli, Franco; Olivera, Christian
1
2018
Infinite-dimensional calculus under weak spatial regularity of the processes. Zbl 1429.60053
Flandoli, Franco; Russo, Francesco; Zanco, Giovanni
1
2018
Synchronization by noise. Zbl 1385.37017
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
16
2017
Synchronization by noise for order-preserving random dynamical systems. Zbl 1379.37101
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
12
2017
Regularity of stochastic kinetic equations. Zbl 1371.35372
Fedrizzi, Ennio; Flandoli, Franco; Priola, Enrico; Vovelle, Julien
11
2017
Multidimensional stochastic differential equations with distributional drift. Zbl 1355.60074
Flandoli, Franco; Issoglio, Elena; Russo, Francesco
10
2017
Mean field limit of interacting filaments and vector valued non-linear PDEs. Zbl 1364.35255
Bessaih, Hakima; Coghi, Michele; Flandoli, Franco
3
2017
An open problem in the theory of regularization by noise for nonlinear PDEs. Zbl 1393.35292
Flandoli, Franco
2
2017
Boundedness vs unboundedness of a noise linked to Tsallis \(q\)-statistics: the role of the overdamped approximation. Zbl 1361.60056
Domingo, Dario; d’Onofrio, Alberto; Flandoli, Franco
1
2017
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077
Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu.
15
2016
An infinite-dimensional approach to path-dependent Kolmogorov equations. Zbl 1356.60101
Flandoli, Franco; Zanco, Giovanni
14
2016
Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity. Zbl 1342.35231
Brzeźniak, Zdzisław; Flandoli, Franco; Maurelli, Mario
14
2016
Propagation of chaos for interacting particles subject to environmental noise. Zbl 1345.60113
Coghi, Michele; Flandoli, Franco
6
2016
On stochastic distributions and currents. Zbl 1369.28003
Capasso, Vincenzo; Flandoli, Franco
2
2016
Remarks on stochastic Navier-Stokes equations. Zbl 1373.35217
Flandoli, Franco
2
2016
Mean field limit with proliferation. Zbl 1353.60085
Flandoli, Franco; Leimbach, Matti
1
2016
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091
Da 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 1330.35289
Flandoli, Franco
2
2015
Stochastic analysis: a series of lectures. Centre Interfacultaire Bernoulli, January – June 2012, École Polytechnique Fédérale Lausanne, Switzerland. Zbl 1330.60004
Dalang, Robert C. (ed.); Dozzi, Marco (ed.); Flandoli, Franco (ed.); Russo, Francesco (ed.)
1
2015
Noise prevents collapse of Vlasov-Poisson point charges. Zbl 1302.35366
Delarue, François; Flandoli, Franco; Vincenzi, Dario
21
2014
Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael
7
2014
The transition point in the zero noise limit for a 1D Peano example. Zbl 1314.60113
Delarue, François; Flandoli, Franco
5
2014
Noise prevents infinite stretching of the passive field in a stochastic vector advection equation. Zbl 1322.60109
Flandoli, Franco; Maurelli, Mario; Neklyudov, Mikhail
4
2014
An occupation time formula for semimartingales in \(\mathbb{R}^N\). Zbl 1310.60045
Bevilacqua, A.; Flandoli, F.
1
2014
Noise prevents singularities in linear transport equations. Zbl 1273.60076
Fedrizzi, E.; Flandoli, F.
41
2013
Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. Zbl 1291.35455
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
40
2013
Hölder flow and differentiability for SDEs with nonregular drift. Zbl 1281.60055
Fedrizzi, E.; Flandoli, F.
24
2013
A dyadic model on a tree. Zbl 1410.34133
Barbato, 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 1304.60071
Cerrai, Sandra; Da Prato, Giuseppe; Flandoli, Franco
3
2013
A regularity theorem for quasilinear parabolic systems under random perturbations. Zbl 1288.35143
Beck, Lisa; Flandoli, Franco
2
2013
Fokker-Planck equations for SPDE with non-trace-class noise. Zbl 1312.35167
Da Prato, G.; Flandoli, F.; Röckner, M.
1
2013
Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020
Flandoli, Franco; Mahalov, Alex
6
2012
Remarks on the stochastic transport equation with Hölder drift. Zbl 1292.60063
Flandoli, 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 1221.35004
Flandoli, Franco
38
2011
Pathwise uniqueness and continuous dependence for SDEs with non-regular drift. Zbl 1221.60081
Fedrizzi, E.; Flandoli, F.
25
2011
Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations. Zbl 1221.60082
Flandoli, F.; Gubinelli, M.; Priola, E.
22
2011
Renormalized solutions for stochastic transport equations and the regularization by bilinear multiplicative noise. Zbl 1237.60048
Attanasio, S.; Flandoli, F.
15
2011
Energy dissipation and self-similar solutions for an unforced inviscid dyadic model. Zbl 1301.37061
Barbato, D.; Flandoli, F.; Morandin, F.
11
2011
Anomalous dissipation in a stochastic inviscid dyadic model. Zbl 1259.60064
Barbato, David; Flandoli, Franco; Morandin, Francesco
8
2011
The interaction between noise and transport mechanisms in PDEs. Zbl 1231.35165
Flandoli, Franco
8
2011
Regularizing properties of Brownian paths and a result of Davie. Zbl 1236.60077
Flandoli, Franco
4
2011
Conservative interacting particles system with anomalous rate of ergodicity. Zbl 1230.82036
Brzeźniak, Z.; Flandoli, F.; Neklyudov, M.; Zegarliński, B.
1
2011
Well-posedness of the transport equation by stochastic perturbation. Zbl 1200.35226
Flandoli, F.; Gubinelli, M.; Priola, E.
112
2010
Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096
Da Prato, G.; Flandoli, F.
28
2010
Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift. Zbl 1198.60023
Flandoli, F.; Gubinelli, M.; Priola, E.
17
2010
Uniqueness for a stochastic inviscid dyadic model. Zbl 1196.60112
Barbato, D.; Flandoli, F.; Morandin, F.
13
2010
Stochastic attractors for shell phenomenological models of turbulence. Zbl 1402.76056
Bessaih, Hakima; Flandoli, Franco; Titi, Edriss S.
7
2010
A theorem of uniqueness for an inviscid dyadic model. Zbl 1353.34017
Barbato, D.; Flandoli, Franco; Morandin, Francesco
6
2010
On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093
Berselli, Luigi C.; Flandoli, Franco
4
2010
Brownian and fractional Brownian stochastic currents via Malliavin calculus. Zbl 1196.60100
Flandoli, Franco; Tudor, Ciprian A.
4
2010
Does noise improve well-posedness of fluid dynamic equations? Zbl 1307.35321
Flandoli, Franco; Gubinelli, Massimilliano; Priola, Enrico
1
2010
Markovianity and ergodicity for a surface growth PDE. Zbl 1184.60024
Blömker, Dirk; Flandoli, Franco; Romito, Marco
13
2009
Remarks on uniqueness and strong solutions to deterministic and stochastic differential equations. Zbl 1433.34079
Flandoli, Franco
11
2009
Zero-noise solutions of linear transport equations without uniqueness: An example. Zbl 1167.35006
Attanasio, Stefano; Flandoli, Franco
10
2009
On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model. Zbl 1171.76019
Flandoli, Franco; Gubinelli, Massimiliano; Russo, Francesco
5
2009
Markov selections for the 3D stochastic Navier-Stokes equations. Zbl 1133.76016
Flandoli, Franco; Romito, Marco
53
2008
An introduction to 3D stochastic fluid dynamics. Zbl 1426.76001
Flandoli, Franco
45
2008
Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011
Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M.
12
2008
Markov attractors: a probabilistic approach to multivalued flows. Zbl 1163.34037
Flandoli, 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 1177.37006
Flandoli, Franco (ed.); Kloeden, Peter E. (ed.); Stuart, Andrew (ed.)
2
2008
On a stochastic version of Prouse model in fluid dynamics. Zbl 1134.76011
Ferrario, B.; Flandoli, F.
2
2008
Remarks on 3D stochastic Navier-Stokes equations. Zbl 1143.60322
Flandoli, Franco
1
2008
Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation. Zbl 1109.58035
Cruzeiro, Ana-Bela; Flandoli, Franco; Malliavin, Paul
15
2007
Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation. Zbl 1136.35112
Flandoli, Franco; Romito, Marco
12
2007
A large deviation principle for the free energy of random Gibbs measures with application to the REM. Zbl 1223.60022
Fedrigo, M.; Flandoli, F.; Morandin, F.
1
2007
Some rigorous results on a stochastic GOY model. Zbl 1107.82057
Barbato, D.; Barsanti, M.; Bessaih, H.; Flandoli, F.
17
2006
Markov selections and their regularity for the three-dimensional stochastic Navier-Stokes equations. Zbl 1098.60059
Flandoli, Franco; Romito, Marco
13
2006
On the method of Da Prato and Debussche for the 3D stochastic Navier-Stokes equations. Zbl 1103.76019
Flandoli, F.
5
2006
A probabilistic representation for the vorticity of a three-dimensional viscous fluid and for general systems of parabolic equations. Zbl 1075.76019
Busnello, Barbara; Flandoli, Franco; Romito, Marco
19
2005
Stochastic currents. Zbl 1087.60043
Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M.
9
2005
Statistics of a vortex filament model. Zbl 1109.76026
Flandoli, Franco; Gubinelli, Massimiliano
4
2005
Some SDEs with distributional drift. II: Lyons-Zheng structure, Itô’s formula and semimartingale characterization. Zbl 1088.60058
Flandoli, Franco; Russo, Francesco; Wolf, Jochen
17
2004
Stationary conjugation of flows for parabolic SPDEs with multiplicative noise and some applications. Zbl 1063.60089
Flandoli, Franco; Lisei, Hannelore
16
2004
Limit behaviour of a dense collection of vortex filaments. Zbl 1137.76387
Bessaih, H.; Flandoli, F.
8
2004
Random currents and probabilistic models of vortex filaments. Zbl 1064.60118
Flandoli, Franco; Gubinelli, Massimiliano
5
2004
Some SDEs with distributional drift. I: General calculus. Zbl 1054.60069
Flandoli, Franco; Russo, Francesco; Wolf, Jochen
20
2003
A mean field result for 3D vortex filaments. Zbl 1066.76050
Bessaih, H.; Flandoli, F.
3
2003
Partial regularity for the stochastic Navier-Stokes equations. Zbl 0997.76018
Flandoli, Franco; Romito, Marco
16
2002
Generalized integration and stochastic ODEs. Zbl 1022.60054
Flandoli, Franco; Russo, Francesco
13
2002
The Gibbs ensemble of a vortex filament. Zbl 0992.60058
Flandoli, Franco; Gubinelli, Massimiliano
13
2002
On a probabilistic description of small scale structures in 3D fluids. Zbl 1017.76074
Flandoli, Franco
11
2002
Generalized calculus and SDEs with non regular drift. Zbl 1007.60046
Flandoli, Franco; Russo, Francesco
5
2002
Probabilistic analysis of singularities for the 3D Navier-Stokes equations. Zbl 1137.76353
Flandoli, Franco; Romito, Marco
1
2002
Stochastic problems in fluid dynamics. Zbl 1040.76011
Flandoli, Franco
1
2002
Probabilistic models of vortex filaments. Zbl 1001.60057
Flandoli, Franco; Minelli, Ida
5
2001
...and 54 more Documents
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
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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. Real World Applications
17 Communications on Pure and Applied Analysis
16 Computers & Mathematics with Applications
15 Potential Analysis
14 Archive for Rational Mechanics and Analysis
14 Applied Mathematics and Computation
14 Abstract and Applied Analysis
14 Dynamical Systems
13 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Infinite Dimensional Analysis, Quantum Probability and Related Topics
12 Journal of Theoretical Probability
12 Journal of Evolution Equations
11 Applicable Analysis
11 Transactions of the American Mathematical Society
11 Mathematical and Computer Modelling
11 The Annals of Applied Probability
11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Electronic Journal of Probability
10 Journal of Mathematical Fluid Mechanics
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Stochastics
9 Nonlinearity
9 Advances in Difference Equations
8 Proceedings of the American Mathematical Society
8 Systems & Control Letters
8 Journal of Nonlinear Science
8 Bulletin des Sciences Mathématiques
8 Boundary Value Problems
8 Science China. Mathematics
7 Journal of Optimization Theory and Applications
7 Communications in Partial Differential Equations
7 Journal of Difference Equations and Applications
6 Journal of Computational and Applied Mathematics
6 SIAM Journal on Control and Optimization
6 Acta Applicandae Mathematicae
5 Communications on Pure and Applied Mathematics
5 Mathematical Methods in the Applied Sciences
5 Osaka Journal of Mathematics
5 Mathematical Problems in Engineering
5 Journal of Inequalities and Applications
5 Acta Mathematica Sinica. English Series
5 Evolution Equations and Control Theory
4 ZAMP. 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
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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)

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