## Flandoli, Franco

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 0819.58023
Crauel, Hans; Flandoli, Franco
1994
Random attractors. Zbl 0884.58064
Crauel, Hans; Debussche, Arnaud; Flandoli, Franco
1997
Martingale and stationary solutions for stochastic Navier-Stokes equations. Zbl 0831.60072
Flandoli, Franco; Gatarek, Dariusz
1995
Random attractors for the 3D stochastic Navier-Stokes equation with multiplicative white noise. Zbl 0870.60057
Flandoli, Franco; Schmalfuss, Björn
1996
Well-posedness of the transport equation by stochastic perturbation. Zbl 1200.35226
Flandoli, F.; Gubinelli, M.; Priola, E.
2010
Ergodicity of the 2-D Navier-Stokes equation under random perturbations. Zbl 0845.35080
Flandoli, Franco; Maslowski, Bohdan
1995
Dissipativity and invariant measures for stochastic Navier-Stokes equations. Zbl 0820.35108
Flandoli, Franco
1994
Markov selections for the 3D stochastic Navier-Stokes equations. Zbl 1133.76016
Flandoli, Franco; Romito, Marco
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.
1988
An introduction to 3D stochastic fluid dynamics. Zbl 1426.76001
Flandoli, Franco
2008
Noise prevents singularities in linear transport equations. Zbl 1273.60076
Fedrizzi, E.; Flandoli, F.
2013
Additive noise destroys a pitchfork bifurcation. Zbl 0907.34042
Crauel, Hans; Flandoli, Franco
1998
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.
2013
Random perturbation of PDEs and fluid dynamic models. École d’Été de Probabilités de Saint-Flour XL – 2010. Zbl 1221.35004
Flandoli, Franco
2011
Hausdorff dimension of invariant sets for random dynamical systems. Zbl 0927.37031
Crauel, Hans; Flandoli, Franco
1998
Pathwise uniqueness and continuous dependence for SDEs with non-regular drift. Zbl 1221.60081
Fedrizzi, E.; Flandoli, F.
2011
Almost sure approximation of Wong-Zakai type for stochastic partial differential equations. Zbl 0842.60062
Brzeźniak, Zdzisław; Flandoli, Franco
1995
Stochastic Navier-Stokes equations with multiplicative noise. Zbl 0762.35083
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
1992
A convergence result for stochastic partial differential equations. Zbl 0653.60049
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
1988
Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096
Da Prato, G.; Flandoli, F.
2010
Hölder flow and differentiability for SDEs with nonregular drift. Zbl 1281.60055
Fedrizzi, E.; Flandoli, F.
2013
Stochastic partial differential equations and turbulence. Zbl 0741.60058
Brzeźniak, Z.; Capiński, M.; Flandoli, F.
1991
Regularity theory and stochastic flows for parabolic SPDEs. Zbl 0838.60054
Flandoli, Franco
1995
Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force. Zbl 0931.35124
Flandoli, Franco; Schmalfuß, Björn
1999
Stochastic inertial manifold. Zbl 0854.60059
Bensoussan, Alain; Flandoli, Franco
1995
Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations. Zbl 1221.60082
Flandoli, F.; Gubinelli, M.; Priola, E.
2011
Some SDEs with distributional drift. I: General calculus. Zbl 1054.60069
Flandoli, Franco; Russo, Francesco; Wolf, Jochen
2003
Noise prevents collapse of Vlasov-Poisson point charges. Zbl 1302.35366
Delarue, François; Flandoli, Franco; Vincenzi, Dario
2014
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.
1989
Dirichlet boundary value problem for stochastic parabolic equations: Compatibility relations and regularity of solutions. Zbl 0696.60057
Flandoli, Franco
1990
Pathwise global attractors for stationary random dynamical systems. Zbl 0791.58056
Brzeźniak, Zdzisław; Capiński, Marek; Flandoli, Franco
1993
Riccati equation arising in a boundary control problem with distributed parameters. Zbl 0533.49004
Flandoli, Franco
1984
Initial boundary value problems and optimal control for nonautonomous parabolic systems. Zbl 0753.49003
Acquistapace, P.; Flandoli, F.; Terreni, B.
1991
Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity. Zbl 1342.35231
Brzeźniak, Zdzisław; Flandoli, Franco; Maurelli, Mario
2016
Renormalized solutions for stochastic transport equations and the regularization by bilinear multiplicative noise. Zbl 1237.60048
Attanasio, S.; Flandoli, F.
2011
Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift. Zbl 1198.60023
Flandoli, F.; Gubinelli, M.; Priola, E.
2010
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
2019
Some SDEs with distributional drift. II: Lyons-Zheng structure, Itô’s formula and semimartingale characterization. Zbl 1088.60058
Flandoli, Franco; Russo, Francesco; Wolf, Jochen
2004
Synchronization by noise. Zbl 1385.37017
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
2017
Algebraic Riccati equation arising in boundary control problems. Zbl 0617.49004
Flandoli, Franco
1987
An infinite-dimensional approach to path-dependent Kolmogorov equations. Zbl 1356.60101
Flandoli, Franco; Zanco, Giovanni
2016
Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness. Zbl 1427.60103
Beck, Lisa; Flandoli, Franco; Gubinelli, Massimiliano; Maurelli, Mario
2019
Weak vorticity formulation of 2D Euler equations with white noise initial condition. Zbl 1452.35269
Flandoli, Franco
2018
Multidimensional stochastic differential equations with distributional drift. Zbl 1355.60074
Flandoli, Franco; Issoglio, Elena; Russo, Francesco
2017
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077
Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu.
2016
Partial regularity for the stochastic Navier-Stokes equations. Zbl 0997.76018
Flandoli, Franco; Romito, Marco
2002
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
2005
Some rigorous results on a stochastic GOY model. Zbl 1107.82057
Barbato, D.; Barsanti, M.; Bessaih, H.; Flandoli, F.
2006
Stationary conjugation of flows for parabolic SPDEs with multiplicative noise and some applications. Zbl 1063.60089
Flandoli, Franco; Lisei, Hannelore
2004
2-D Euler equation perturbed by noise. Zbl 0923.35122
Bessaih, Hakima; Flandoli, Franco
1999
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
2015
Markovianity and ergodicity for a surface growth PDE. Zbl 1184.60024
Blömker, Dirk; Flandoli, Franco; Romito, Marco
2009
Direct solution of a Riccati equation arising in a stochastic control problem with control and observation on the boundary. Zbl 0606.93070
Flandoli, Franco
1986
Uniqueness for a stochastic inviscid dyadic model. Zbl 1196.60112
Barbato, D.; Flandoli, F.; Morandin, F.
2010
Propagation of chaos for interacting particles subject to environmental noise. Zbl 1345.60113
Coghi, Michele; Flandoli, Franco
2016
Kolmogorov equation associated to a stochastic Navier-Stokes equation. Zbl 0928.60044
Flandoli, F.; Gozzi, F.
1998
Irreducibility of the 3-D stochastic Navier-Stokes equation. Zbl 0887.35171
Flandoli, Franco
1997
Regularity of stochastic kinetic equations. Zbl 1371.35372
Fedrizzi, Ennio; Flandoli, Franco; Priola, Enrico; Vovelle, Julien
2017
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
2007
The Gibbs ensemble of a vortex filament. Zbl 0992.60058
Flandoli, Franco; Gubinelli, Massimiliano
2002
Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011
Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M.
2008
Synchronization by noise for order-preserving random dynamical systems. Zbl 1379.37101
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
2017
Energy dissipation and self-similar solutions for an unforced inviscid dyadic model. Zbl 1301.37061
Barbato, D.; Flandoli, F.; Morandin, F.
2011
Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation. Zbl 1136.35112
Flandoli, Franco; Romito, Marco
2007
Markov selections and their regularity for the three-dimensional stochastic Navier-Stokes equations. Zbl 1098.60059
Flandoli, Franco; Romito, Marco
2006
Generalized integration and stochastic ODEs. Zbl 1022.60054
Flandoli, Franco; Russo, Francesco
2002
Zero-noise solutions of linear transport equations without uniqueness: An example. Zbl 1167.35006
Attanasio, Stefano; Flandoli, Franco
2009
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
1991
On a probabilistic description of small scale structures in 3D fluids. Zbl 1017.76074
Flandoli, Franco
2002
Weak attractor for a dissipative Euler equation. Zbl 1027.35101
Bessaih, H.; Flandoli, F.
2000
Remarks on uniqueness and strong solutions to deterministic and stochastic differential equations. Zbl 1433.34079
Flandoli, Franco
2009
Noise prevents infinite stretching of the passive field in a stochastic vector advection equation. Zbl 1322.60109
Flandoli, Franco; Maurelli, Mario; Neklyudov, Mikhail
2014
mSQG equations in distributional spaces and point vortex approximation. Zbl 1439.60060
Flandoli, Franco; Saal, Martin
2019
Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure. Zbl 1440.35234
Flandoli, Franco; Luo, Dejun
2020
Anomalous dissipation in a stochastic inviscid dyadic model. Zbl 1259.60064
Barbato, David; Flandoli, Franco; Morandin, Francesco
2011
$$\rho$$-white noise solution to 2D stochastic Euler equations. Zbl 1425.60058
Flandoli, Franco; Luo, Dejun
2019
Determining modes for dissipative random dynamical systems. Zbl 0923.35213
Flandoli, Franco; Langa, Jose A.
1999
Stochastic currents. Zbl 1087.60043
Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M.
2005
Kolmogorov equations associated to the stochastic two dimensional Euler equations. Zbl 1426.35183
Flandoli, Franco; Luo, Dejun
2019
Stochastic parabolic equations in bounded domains: Random evolution operator and Lyapunov exponents. Zbl 0704.60060
Flandoli, Franco; Schaumlöffel, Kay-Uwe
1990
A dyadic model on a tree. Zbl 1410.34133
Barbato, David; Bianchi, Luigi Amedeo; Flandoli, Franco; Morandin, Francesco
2013
The interaction between noise and transport mechanisms in PDEs. Zbl 1231.35165
Flandoli, Franco
2011
Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020
Flandoli, Franco; Mahalov, Alex
2012
Stochastic differential equations in fluid dynamics. Zbl 0920.60048
Flandoli, Franco
1998
The transition point in the zero noise limit for a 1D Peano example. Zbl 1314.60113
Delarue, François; Flandoli, Franco
2014
Stochastic flows for nonlinear second-order parabolic SPDE. Zbl 0870.60056
Flandoli, Franco
1996
Limit behaviour of a dense collection of vortex filaments. Zbl 1137.76387
Bessaih, H.; Flandoli, F.
2004
Regularizing properties of Brownian paths and a result of Davie. Zbl 1236.60077
Flandoli, Franco
2011
Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael
2014
Stochastic attractors for shell phenomenological models of turbulence. Zbl 1402.76056
Bessaih, Hakima; Flandoli, Franco; Titi, Edriss S.
2010
A theorem of uniqueness for an inviscid dyadic model. Zbl 1353.34017
Barbato, D.; Flandoli, Franco; Morandin, Francesco
2010
Remarks on the stochastic transport equation with Hölder drift. Zbl 1292.60063
Flandoli, F.; Gubinelli, M.; Priola, E.
2012
On the semigroup approach to stochastic evolution equations. Zbl 0762.60046
Flandoli, Franco
1992
On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093
Berselli, Luigi C.; Flandoli, Franco
2010
Stochastic Navier-Stokes equations and related models. Zbl 1446.35093
Bianchi, Luigi Amedeo; Flandoli, Franco
2020
A stochastic reaction-diffusion equation with multiplicative noise. Zbl 0725.60091
Flandoli, Franco
1991
Random currents and probabilistic models of vortex filaments. Zbl 1064.60118
Flandoli, Franco; Gubinelli, Massimiliano
2004
Statistically stationary solutions to the 3-D Navier-Stokes equation do not show singularities. Zbl 0973.35148
Flandoli, Franco; Romito, Marco
2001
Generalized calculus and SDEs with non regular drift. Zbl 1007.60046
Flandoli, Franco; Russo, Francesco
2002
Probabilistic models of vortex filaments. Zbl 1001.60057
Flandoli, Franco; Minelli, Ida
2001
High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations. Zbl 1469.60205
Flandoli, Franco; Luo, Dejun
2021
Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations. Zbl 1464.35197
Flandoli, Franco; Galeati, Lucio; Luo, Dejun
2021
Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise. Zbl 1452.76054
Flandoli, Franco; Luo, Dejun
2021
A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis. Zbl 1465.65111
Flandoli, Franco; Luo, Dejun; Ricci, Cristiano
2021
2D Euler equations with Stratonovich transport noise as a large-scale stochastic model reduction. Zbl 1466.76010
Flandoli, Franco; Pappalettera, Umberto
2021
Ill posedness for the full Euler system driven by multiplicative white noise. Zbl 07403319
Chiodaroli, Elisabetta; Feireisl, Eduard; Flandoli, Franco
2021
Delayed blow-up by transport noise. Zbl 1477.60096
Flandoli, Franco; Galeati, Lucio; Luo, Dejun
2021
Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure. Zbl 1440.35234
Flandoli, Franco; Luo, Dejun
2020
Stochastic Navier-Stokes equations and related models. Zbl 1446.35093
Bianchi, Luigi Amedeo; Flandoli, Franco
2020
Energy conditional measures and 2D turbulence. Zbl 1432.76108
Flandoli, Franco; Luo, Dejun
2020
Properties of bounded stochastic processes employed in biophysics. Zbl 1457.60107
Domingo, Dario; d&rsquo;Onofrio, Alberto; Flandoli, Franco
2020
Uniform approximation of 2 dimensional Navier-Stokes equation by stochastic interacting particle systems. Zbl 1456.60165
Flandoli, Franco; Olivera, Christian; Simon, Marielle
2020
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
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
2019
mSQG equations in distributional spaces and point vortex approximation. Zbl 1439.60060
Flandoli, Franco; Saal, Martin
2019
$$\rho$$-white noise solution to 2D stochastic Euler equations. Zbl 1425.60058
Flandoli, Franco; Luo, Dejun
2019
Kolmogorov equations associated to the stochastic two dimensional Euler equations. Zbl 1426.35183
Flandoli, Franco; Luo, Dejun
2019
Uniform convergence of proliferating particles to the FKPP equation. Zbl 1433.60089
Flandoli, Franco; Leimbach, Matti; Olivera, Christian
2019
Euler-Lagrangian approach to 3D stochastic Euler equations. Zbl 1435.35290
Flandoli, Franco; Luo, Dejun
2019
Mean field limit of interacting filaments for 3D Euler equations. Zbl 1412.35235
Bessaih, Hakima; Coghi, Michele; Flandoli, Franco
2019
A non-linear kinetic model of self-propelled particles with multiple equilibria. Zbl 1428.35598
Buttà, Paolo; Flandoli, Franco; Ottobre, Michela; Zegarlinski, Boguslaw
2019
A mean-field model with discontinuous coefficients for neurons with spatial interaction. Zbl 1415.60061
Flandoli, Franco; Priola, Enrico; Zanco, Giovanni
2019
On the mean field approximation of a stochastic model of tumour-induced angiogenesis. Zbl 1429.92040
Capasso, V.; Flandoli, F.
2019
A particle system approach to aggregation phenomena. Zbl 1416.35139
Flandoli, Franco; Leocata, Marta
2019
The Vlasov-Navier-Stokes equations as a mean field limit. Zbl 1429.35054
Flandoli, Franco; Leocata, Marta; Ricci, Cristiano
2019
Absolutely continuous solutions for continuity equations in Hilbert spaces. Zbl 1418.35074
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael
2019
Weak vorticity formulation of 2D Euler equations with white noise initial condition. Zbl 1452.35269
Flandoli, Franco
2018
Infinite-dimensional calculus under weak spatial regularity of the processes. Zbl 1429.60053
Flandoli, Franco; Russo, Francesco; Zanco, Giovanni
2018
Well-posedness of the vector advection equations by stochastic perturbation. Zbl 1394.60068
Flandoli, Franco; Olivera, Christian
2018
Synchronization by noise. Zbl 1385.37017
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
2017
Multidimensional stochastic differential equations with distributional drift. Zbl 1355.60074
Flandoli, Franco; Issoglio, Elena; Russo, Francesco
2017
Regularity of stochastic kinetic equations. Zbl 1371.35372
Fedrizzi, Ennio; Flandoli, Franco; Priola, Enrico; Vovelle, Julien
2017
Synchronization by noise for order-preserving random dynamical systems. Zbl 1379.37101
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
2017
Mean field limit of interacting filaments and vector valued non-linear PDEs. Zbl 1364.35255
Bessaih, Hakima; Coghi, Michele; Flandoli, Franco
2017
An open problem in the theory of regularization by noise for nonlinear PDEs. Zbl 1393.35292
Flandoli, Franco
2017
Boundedness vs unboundedness of a noise linked to Tsallis $$q$$-statistics: the role of the overdamped approximation. Zbl 1361.60056
Domingo, Dario; d&rsquo;Onofrio, Alberto; Flandoli, Franco
2017
Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity. Zbl 1342.35231
Brzeźniak, Zdzisław; Flandoli, Franco; Maurelli, Mario
2016
An infinite-dimensional approach to path-dependent Kolmogorov equations. Zbl 1356.60101
Flandoli, Franco; Zanco, Giovanni
2016
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077
Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu.
2016
Propagation of chaos for interacting particles subject to environmental noise. Zbl 1345.60113
Coghi, Michele; Flandoli, Franco
2016
Mean field limit with proliferation. Zbl 1353.60085
Flandoli, Franco; Leimbach, Matti
2016
Remarks on stochastic Navier-Stokes equations. Zbl 1373.35217
Flandoli, Franco
2016
On stochastic distributions and currents. Zbl 1369.28003
Capasso, Vincenzo; Flandoli, Franco
2016
Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091
Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M.
2015
A stochastic view over the open problem of well-posedness for the 3D Navier-Stokes equations. Zbl 1330.35289
Flandoli, Franco
2015
Stochastic analysis: a series of lectures. Centre Interfacultaire Bernoulli, January – June 2012, École Polytechnique Fédérale Lausanne, Switzerland. Zbl 1330.60004
2015
Noise prevents collapse of Vlasov-Poisson point charges. Zbl 1302.35366
Delarue, François; Flandoli, Franco; Vincenzi, Dario
2014
Noise prevents infinite stretching of the passive field in a stochastic vector advection equation. Zbl 1322.60109
Flandoli, Franco; Maurelli, Mario; Neklyudov, Mikhail
2014
The transition point in the zero noise limit for a 1D Peano example. Zbl 1314.60113
Delarue, François; Flandoli, Franco
2014
Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael
2014
An occupation time formula for semimartingales in $$\mathbb{R}^N$$. Zbl 1310.60045
Bevilacqua, A.; Flandoli, F.
2014
Noise prevents singularities in linear transport equations. Zbl 1273.60076
Fedrizzi, E.; Flandoli, F.
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.
2013
Hölder flow and differentiability for SDEs with nonregular drift. Zbl 1281.60055
Fedrizzi, E.; Flandoli, F.
2013
A dyadic model on a tree. Zbl 1410.34133
Barbato, David; Bianchi, Luigi Amedeo; Flandoli, Franco; Morandin, Francesco
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
2013
A regularity theorem for quasilinear parabolic systems under random perturbations. Zbl 1288.35143
Beck, Lisa; Flandoli, Franco
2013
Fokker-Planck equations for SPDE with non-trace-class noise. Zbl 1312.35167
Da Prato, G.; Flandoli, F.; Röckner, M.
2013
Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity. Zbl 1288.76020
Flandoli, Franco; Mahalov, Alex
2012
Remarks on the stochastic transport equation with Hölder drift. Zbl 1292.60063
Flandoli, F.; Gubinelli, M.; Priola, E.
2012
Random perturbation of PDEs and fluid dynamic models. École d’Été de Probabilités de Saint-Flour XL – 2010. Zbl 1221.35004
Flandoli, Franco
2011
Pathwise uniqueness and continuous dependence for SDEs with non-regular drift. Zbl 1221.60081
Fedrizzi, E.; Flandoli, F.
2011
Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations. Zbl 1221.60082
Flandoli, F.; Gubinelli, M.; Priola, E.
2011
Renormalized solutions for stochastic transport equations and the regularization by bilinear multiplicative noise. Zbl 1237.60048
Attanasio, S.; Flandoli, F.
2011
Energy dissipation and self-similar solutions for an unforced inviscid dyadic model. Zbl 1301.37061
Barbato, D.; Flandoli, F.; Morandin, F.
2011
Anomalous dissipation in a stochastic inviscid dyadic model. Zbl 1259.60064
Barbato, David; Flandoli, Franco; Morandin, Francesco
2011
The interaction between noise and transport mechanisms in PDEs. Zbl 1231.35165
Flandoli, Franco
2011
Regularizing properties of Brownian paths and a result of Davie. Zbl 1236.60077
Flandoli, Franco
2011
Conservative interacting particles system with anomalous rate of ergodicity. Zbl 1230.82036
Brzeźniak, Z.; Flandoli, F.; Neklyudov, M.; Zegarliński, B.
2011
Well-posedness of the transport equation by stochastic perturbation. Zbl 1200.35226
Flandoli, F.; Gubinelli, M.; Priola, E.
2010
Pathwise uniqueness for a class of SDE in Hilbert spaces and applications. Zbl 1202.60096
Da Prato, G.; Flandoli, F.
2010
Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift. Zbl 1198.60023
Flandoli, F.; Gubinelli, M.; Priola, E.
2010
Uniqueness for a stochastic inviscid dyadic model. Zbl 1196.60112
Barbato, D.; Flandoli, F.; Morandin, F.
2010
Stochastic attractors for shell phenomenological models of turbulence. Zbl 1402.76056
Bessaih, Hakima; Flandoli, Franco; Titi, Edriss S.
2010
A theorem of uniqueness for an inviscid dyadic model. Zbl 1353.34017
Barbato, D.; Flandoli, Franco; Morandin, Francesco
2010
On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093
Berselli, Luigi C.; Flandoli, Franco
2010
Brownian and fractional Brownian stochastic currents via Malliavin calculus. Zbl 1196.60100
Flandoli, Franco; Tudor, Ciprian A.
2010
Does noise improve well-posedness of fluid dynamic equations? Zbl 1307.35321
Flandoli, Franco; Gubinelli, Massimilliano; Priola, Enrico
2010
Markovianity and ergodicity for a surface growth PDE. Zbl 1184.60024
Blömker, Dirk; Flandoli, Franco; Romito, Marco
2009
Zero-noise solutions of linear transport equations without uniqueness: An example. Zbl 1167.35006
Attanasio, Stefano; Flandoli, Franco
2009
Remarks on uniqueness and strong solutions to deterministic and stochastic differential equations. Zbl 1433.34079
Flandoli, Franco
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
2009
Markov selections for the 3D stochastic Navier-Stokes equations. Zbl 1133.76016
Flandoli, Franco; Romito, Marco
2008
An introduction to 3D stochastic fluid dynamics. Zbl 1426.76001
Flandoli, Franco
2008
Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011
Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M.
2008
Markov attractors: a probabilistic approach to multivalued flows. Zbl 1163.34037
Flandoli, Franco; Langa, José A.
2008
On a stochastic version of Prouse model in fluid dynamics. Zbl 1134.76011
Ferrario, B.; Flandoli, F.
2008
Infinite dimensional random dynamical systems and their applications. Abstracts from the workshop held November 2nd – November 8th, 2008. Zbl 1177.37006
2008
Remarks on 3D stochastic Navier-Stokes equations. Zbl 1143.60322
Flandoli, Franco
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
2007
Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation. Zbl 1136.35112
Flandoli, Franco; Romito, Marco
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.
2007
Some rigorous results on a stochastic GOY model. Zbl 1107.82057
Barbato, D.; Barsanti, M.; Bessaih, H.; Flandoli, F.
2006
Markov selections and their regularity for the three-dimensional stochastic Navier-Stokes equations. Zbl 1098.60059
Flandoli, Franco; Romito, Marco
2006
On the method of Da Prato and Debussche for the 3D stochastic Navier-Stokes equations. Zbl 1103.76019
Flandoli, F.
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
2005
Stochastic currents. Zbl 1087.60043
Flandoli, Franco; Gubinelli, Massimiliano; Giaquinta, Mariano; Tortorelli, Vincenzo M.
2005
Statistics of a vortex filament model. Zbl 1109.76026
Flandoli, Franco; Gubinelli, Massimiliano
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
2004
Stationary conjugation of flows for parabolic SPDEs with multiplicative noise and some applications. Zbl 1063.60089
Flandoli, Franco; Lisei, Hannelore
2004
...and 65 more Documents
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### 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
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### 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. Académie des Sciences, Paris 10 Stochastics 9 Proceedings of the American Mathematical Society 9 Communications in Partial Differential Equations 9 Bulletin des Sciences Mathématiques 9 Science China. Mathematics 8 Systems & Control Letters 7 Journal of Optimization Theory and Applications 7 Acta Applicandae Mathematicae 7 Bernoulli 7 Journal of Inequalities and Applications 7 Journal of Applied Analysis and Computation 6 Journal of Computational and Applied Mathematics 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Acta Mathematica Sinica. English Series 6 Evolution Equations and Control Theory 5 Communications on Pure and Applied Mathematics 5 Mathematical Methods in the Applied Sciences 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Osaka Journal of Mathematics 5 Acta Mathematicae Applicatae Sinica. 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
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### 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)

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