Chiodaroli, Elisabetta; Feireisl, Eduard; Flandoli, Franco Ill posedness for the full Euler system driven by multiplicative white noise. (English) Zbl 07403319 Indiana Univ. Math. J. 70, No. 4, 1267-1282 (2021). MSC: 35Q31 60H15 35D30 60H40 76N10 35R60 35R25 PDF BibTeX XML Cite \textit{E. Chiodaroli} et al., Indiana Univ. Math. J. 70, No. 4, 1267--1282 (2021; Zbl 07403319) Full Text: DOI arXiv OpenURL
Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael Continuity equation in llogl for the 2D Euler equations under the enstrophy measure. (English) Zbl 1476.35186 Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 2, 491-509 (2021). MSC: 35Q31 60H40 76B03 35A01 35R60 35R06 PDF BibTeX XML Cite \textit{G. Da Prato} et al., Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 2, 491--509 (2021; Zbl 1476.35186) Full Text: DOI arXiv OpenURL
Flandoli, Franco; Pappalettera, Umberto 2D Euler equations with Stratonovich transport noise as a large-scale stochastic model reduction. (English) Zbl 1466.76010 J. Nonlinear Sci. 31, No. 1, Paper No. 24, 39 p. (2021). MSC: 76B03 76M35 35Q31 PDF BibTeX XML Cite \textit{F. Flandoli} and \textit{U. Pappalettera}, J. Nonlinear Sci. 31, No. 1, Paper No. 24, 39 p. (2021; Zbl 1466.76010) Full Text: DOI arXiv OpenURL
Flandoli, Franco; Galeati, Lucio; Luo, Dejun Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations. (English) Zbl 1464.35197 J. Evol. Equ. 21, No. 1, 567-600 (2021). MSC: 35Q31 76N10 35D30 35A02 35R60 PDF BibTeX XML Cite \textit{F. Flandoli} et al., J. Evol. Equ. 21, No. 1, 567--600 (2021; Zbl 1464.35197) Full Text: DOI arXiv OpenURL
Flandoli, Franco; Grotto, Francesco; Luo, Dejun Fokker-Planck equation for dissipative 2D Euler equations with cylindrical noise. (English) Zbl 1466.60128 Theory Probab. Math. Stat. 102, 117-143 (2020). Reviewer: Eugene Postnikov (Kursk) MSC: 60H15 35Q31 35Q84 35D30 PDF BibTeX XML Cite \textit{F. Flandoli} et al., Theory Probab. Math. Stat. 102, 117--143 (2020; Zbl 1466.60128) Full Text: DOI arXiv OpenURL
Flandoli, Franco Renormalized Onsager functions and merging of vortex clusters. (English) Zbl 1451.76058 Stoch. Dyn. 20, No. 6, Article ID 2040010, 12 p. (2020). MSC: 76F55 76F30 76B47 PDF BibTeX XML Cite \textit{F. Flandoli}, Stoch. Dyn. 20, No. 6, Article ID 2040010, 12 p. (2020; Zbl 1451.76058) Full Text: DOI arXiv OpenURL
Flandoli, Franco; Luo, Dejun Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure. (English) Zbl 1440.35234 Ann. Probab. 48, No. 1, 264-295 (2020). MSC: 35Q30 35Q31 60H40 76D05 PDF BibTeX XML Cite \textit{F. Flandoli} and \textit{D. Luo}, Ann. Probab. 48, No. 1, 264--295 (2020; Zbl 1440.35234) Full Text: DOI arXiv Euclid OpenURL
Flandoli, Franco; Luo, Dejun Energy conditional measures and 2D turbulence. (English) Zbl 1432.76108 J. Math. Phys. 61, No. 1, 013101, 22 p. (2020). MSC: 76F20 35Q31 76F65 PDF BibTeX XML Cite \textit{F. Flandoli} and \textit{D. Luo}, J. Math. Phys. 61, No. 1, 013101, 22 p. (2020; Zbl 1432.76108) Full Text: DOI arXiv OpenURL
Flandoli, Franco; Luo, Dejun Euler-Lagrangian approach to 3D stochastic Euler equations. (English) Zbl 1435.35290 J. Geom. Mech. 11, No. 2, 153-165 (2019). MSC: 35Q31 76B03 76B47 35R60 35A01 35A02 PDF BibTeX XML Cite \textit{F. Flandoli} and \textit{D. Luo}, J. Geom. Mech. 11, No. 2, 153--165 (2019; Zbl 1435.35290) Full Text: DOI arXiv OpenURL
Flandoli, Franco; Luo, Dejun \(\rho\)-white noise solution to 2D stochastic Euler equations. (English) Zbl 1425.60058 Probab. Theory Relat. Fields 175, No. 3-4, 783-832 (2019). MSC: 60H15 60H40 35Q31 35Q84 76D05 PDF BibTeX XML Cite \textit{F. Flandoli} and \textit{D. Luo}, Probab. Theory Relat. Fields 175, No. 3--4, 783--832 (2019; Zbl 1425.60058) Full Text: DOI arXiv OpenURL
Flandoli, Franco; Luo, Dejun Kolmogorov equations associated to the stochastic two dimensional Euler equations. (English) Zbl 1426.35183 SIAM J. Math. Anal. 51, No. 3, 1761-1791 (2019). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q31 35Q84 35R60 35B65 PDF BibTeX XML Cite \textit{F. Flandoli} and \textit{D. Luo}, SIAM J. Math. Anal. 51, No. 3, 1761--1791 (2019; Zbl 1426.35183) Full Text: DOI arXiv OpenURL
Bessaih, Hakima; Coghi, Michele; Flandoli, Franco Mean field limit of interacting filaments for 3D Euler equations. (English) Zbl 1412.35235 J. Stat. Phys. 174, No. 3, 562-578 (2019). MSC: 35Q31 70F45 37C10 76B47 49Q15 35B65 PDF BibTeX XML Cite \textit{H. Bessaih} et al., J. Stat. Phys. 174, No. 3, 562--578 (2019; Zbl 1412.35235) Full Text: DOI arXiv OpenURL
Flandoli, Franco Weak vorticity formulation of 2D Euler equations with white noise initial condition. (English) Zbl 1452.35269 Commun. Partial Differ. Equations 43, No. 7, 1102-1149 (2018). Reviewer: Dejun Luo (Beijing) MSC: 35R60 35Q31 PDF BibTeX XML Cite \textit{F. Flandoli}, Commun. Partial Differ. Equations 43, No. 7, 1102--1149 (2018; Zbl 1452.35269) Full Text: DOI arXiv OpenURL
Flandoli, Franco An open problem in the theory of regularization by noise for nonlinear PDEs. (English) Zbl 1393.35292 Albeverio, Sergio (ed.) et al., Stochastic geometric mechanics. CIB, Lausanne, Switzerland, January–June 2015. Cham: Springer (ISBN 978-3-319-63452-4/hbk; 978-3-319-63453-1/ebook). Springer Proceedings in Mathematics & Statistics 202, 13-29 (2017). MSC: 35R60 35B65 35A02 35Q31 60H15 PDF BibTeX XML Cite \textit{F. Flandoli}, Springer Proc. Math. Stat. 202, 13--29 (2017; Zbl 1393.35292) Full Text: DOI OpenURL
Brzeźniak, Zdzisław; Flandoli, Franco; Maurelli, Mario Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity. (English) Zbl 1342.35231 Arch. Ration. Mech. Anal. 221, No. 1, 107-142 (2016). MSC: 35Q31 35R60 35A01 35A02 35B35 PDF BibTeX XML Cite \textit{Z. Brzeźniak} et al., Arch. Ration. Mech. Anal. 221, No. 1, 107--142 (2016; Zbl 1342.35231) Full Text: DOI arXiv Link OpenURL
Barbato, David; Bianchi, Luigi Amedeo; Flandoli, Franco; Morandin, Francesco A dyadic model on a tree. (English) Zbl 1410.34133 J. Math. Phys. 54, No. 2, 021507, 20 p. (2013). MSC: 34C60 34D05 34A33 76F20 PDF BibTeX XML Cite \textit{D. Barbato} et al., J. Math. Phys. 54, No. 2, 021507, 20 p. (2013; Zbl 1410.34133) Full Text: DOI arXiv Link OpenURL
Flandoli, F.; Gubinelli, M.; Priola, E. Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations. (English) Zbl 1221.60082 Stochastic Processes Appl. 121, No. 7, 1445-1463 (2011). MSC: 60H10 76B47 35Q31 60H15 PDF BibTeX XML Cite \textit{F. Flandoli} et al., Stochastic Processes Appl. 121, No. 7, 1445--1463 (2011; Zbl 1221.60082) Full Text: DOI arXiv OpenURL
Flandoli, Franco Random perturbation of PDEs and fluid dynamic models. École d’Été de Probabilités de Saint-Flour XL – 2010. (English) Zbl 1221.35004 Lecture Notes in Mathematics 2015. Berlin: Springer (ISBN 978-3-642-18230-3/pbk; 978-3-642-18231-0/ebook). ix, 176 p. (2011). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35-02 35R60 35Q35 35Q31 35Q30 PDF BibTeX XML Cite \textit{F. Flandoli}, Random perturbation of PDEs and fluid dynamic models. École d'Été de Probabilités de Saint-Flour XL -- 2010. Berlin: Springer (2011; Zbl 1221.35004) Full Text: DOI OpenURL
Barbato, D.; Flandoli, F.; Morandin, F. Uniqueness for a stochastic inviscid dyadic model. (English) Zbl 1196.60112 Proc. Am. Math. Soc. 138, No. 7, 2607-2617 (2010). MSC: 60H15 35Q31 35R60 76B03 76M35 PDF BibTeX XML Cite \textit{D. Barbato} et al., Proc. Am. Math. Soc. 138, No. 7, 2607--2617 (2010; Zbl 1196.60112) Full Text: DOI arXiv OpenURL
Cruzeiro, Ana-Bela; Flandoli, Franco; Malliavin, Paul Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation. (English) Zbl 1109.58035 J. Funct. Anal. 242, No. 1, 304-326 (2007). Reviewer: Alexandr B. Vasil’ev (Odessa) MSC: 58J65 60H10 PDF BibTeX XML Cite \textit{A.-B. Cruzeiro} et al., J. Funct. Anal. 242, No. 1, 304--326 (2007; Zbl 1109.58035) Full Text: DOI OpenURL
Bessaih, Hakima; Flandoli, Franco 2-D Euler equation perturbed by noise. (English) Zbl 0923.35122 NoDEA, Nonlinear Differ. Equ. Appl. 6, No. 1, 35-54 (1999). Reviewer: W.Kotarski (Sosnowiec) MSC: 35Q35 35R60 60H15 PDF BibTeX XML Cite \textit{H. Bessaih} and \textit{F. Flandoli}, NoDEA, Nonlinear Differ. Equ. Appl. 6, No. 1, 35--54 (1999; Zbl 0923.35122) Full Text: DOI OpenURL