Roberta Bianchini

Roberta Bianchini

The only way to learn mathematics is to do mathematics. Paul Halmos

Abuso di un mondo chiuso e fatalità. Francesco Guccini

bianchini@ljll.math.upmc.fr

Postdoc at Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Université,
4 Place Jussieu,
75005 Paris, France.

Researchgate

Academia.edu

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Preprints

  1. R. Bianchini, R. Natalini, Nonresonant bilinear forms for partially dissipative hyperbolic systems violating the Shizuta-Kawashima condition,
    preprint arXiv:1906.02767 (2019).

  2. R. Bianchini, A.-L. Dalibard, L. Saint-Raymond, Near-critical reflection of internal waves,
    preprint arXiv:1902.06669 (2018).

      Papers (accepted or published)

      1. R. Bianchini, Strong convergence of a vector-BGK model to the incompressible Navier-Stokes equations,
        to appear on Journal Math. Pures et Appl. (2019).

      2. R. Bianchini, L. Gosse, E. Zuazua, A two-dimensional ''flea on the elephant" phenomenon and its numerical visualization,
        Multiscale Modeling and Simulation 17 (1), 137-166 (2019).

      3. R. Bianchini, L. Gosse, A ''truly-two dimensional'' discretization of drift-diffusion equations on Cartesian grid,
        SIAM Numerical Analysis 56 (5) (2018), 2845-2870.

      4. R. Bianchini, Uniform asymptotic and convergence estimates for the Jin-Xin model under the diffusion scaling,
        SIAM Journal on Mathematical Analysis 50 (2) (2018), 1877-1899.

      5. R. Bianchini, R. Natalini, Convergence of a vector-BGK approximation for the incompressible Navier-Stoker equations,
        Kinetic and Related Models (2019) 12 (1), 133-158.

      6. R. Bianchini, R. Natalini, The paradifferential approach to the local well-posedness of some problems in mixture theory,
        to appear on Comm. Part. Diff. Eqs. (2019). Published online: 09 Nov 2018. https://doi.org/10.1080/03605302.2018.1499775.

      7. R. Bianchini, R. Natalini, Well-posedness of a model of nonhomogeneous compressible-incompressible fluids,
        J. Hyp. Diff. Eq. 14 (3) (2017), 487-516.

      8. R. Bianchini, R. Natalini, Global existence and asymptotic stability of smooth solutions to a fluid dynamics model of biofilms in one space dimension,
        J. Math. Anal. Appl. 434 (2016), 1909-1923.

          Upcoming appointments

          • November 15, 2019. Math Seminar at Imperial College, London, UK.
            Organizer: Michele Coti Zelati.

          • January 2020. Séminaire ANEDP de Lille, Université de Lille, France.
            Organizer: Thomas Rey.

          • June 2020, Talk at Special Session at AIMS Meeting, Atlanta, USA.
            Organizers: Gianluca Crippa, Maria Colombo, Laura Spinolo.

              Selected talks

              • September 2019, XXI Conference UMI (Unione Matematica Italiana), Pavia, Italy.
                Seminar session organized by Stefano Bianchini.

              • July 2019, Geometric Measure Theory and Partial Differential Equations, University of Basel, Switzerland.
                Organizers: Paolo Bonicatto, Gianluca Crippa, Elio Marconi.

              • June 2019, Group de travail MathOcéan, IMT Toulouse, France.
                Organizer: Jean-François Coulombel.

              • March 2019, Journées Jeunes EDPistes 2019, INSA, Rennes, France.
                Organizers: Karine Beauchard, Rémi Carles, Olivier Ley, Karel Pravda-Starov, Miguel Rodrigues.

              • December 2018, Winter School on Fluid Dynamics, Dispersive Equations and Quantum Fluids, Bressanone, Italy.
                Organizers: Fabio Ancona and Stefano Bianchini.

              • September 2018, Interactive workshop on hyperbolic equations, Ferrara, Italy.
                Organizers: Andrea Corli and Massimiliano D. Rosini.

              • August 2018, Mini-symposium Modèles mathématiques et méthodes numériques en mécanique
                des milieux continus, dans le cadre du XIV colloque Franco-Roumain de Mathématiques
                Appliquées, Bordeaux, France.
                Organizers: Didier Bresch, Lorenzo Brandolese, Sanda Cleja-Tigoiu.

              • July 2018, International Workshop on Hyperbolic and Kinetic Problems: Theory and Applications,
                Institute of Mathematics, Academia Sinica, Taipei, Taiwan.
                Organizers: Fabio Ancona, Stefano Bianchini and Tai-Ping Liu .

                  Organization of conferences

                • June 24-28, 2019, Bonn, Germany - Junior Trimester on Kinetic Theory.
                  Workshop ''Effective equations: frontiers in classical and quantum systems'',
                  with Serena Cenatiempo, Lingbing He, Alessia Nota, Chiara Saffirio, Sergio Simonella, Raphael Winter.

                  Selected visits

                • July 2019. MIT - Massachusetts Institute of Technology (2 weeks).
                  Collaboration with Gigliola Staffilani.

                • May-June 2019. Junior Trimester in Kinetic Theory, Hausdorff Research Institute for Mathematics (HIM) in Bonn, Germany (2 months).
                  Working group ''Scaling limits for particle systems'' with Serena Cenatiempo, Lingbing He, Chiara Saffirio, Sergio Simonella.

                  Experience

                  • From January 2018 to June 2019: Postdoc UMPA, École normale supérieure, Lyon, France
                    Supervisor: Laure Saint-Raymond.

                  • From November 2014 to December 2017: PhD in Mathematics, University of Rome ''Tor Vergata''.

                  • From November 2014 to December 2017: Associate Researcher, CNR, Italian National Research Council (Rome) IAC.

                  • From October 2015 to December 2017: Teaching assistant. Course: Analisi Matematica I, Bachelor's degree in Engineering,
                    University of Rome "Roma 3" Mathematical Analysis I.

                    • Education

                      • November 2014 - December 2017: PhD student, Department of Mathematics,

                        University of Rome "Tor Vergata".
                        PhD thesis: Advanced energy methods in Fluid Mechanics

                        Advisor: Roberto Natalini.
                        Referees: Jean-Yves Chemin, Paolo Secchi.
                        Committee: Jean-Yves Chemin, Roberto Natalini, Enrique Zuazua.
                        Director of the PhD school: Andrea Braides.


                      • September 2012 - July 2014: Master degree in Applied Mathematics, University of Rome "Sapienza".
                        Master thesis: Applicazioni della teoria dei sistemi iperbolici dissipativi ad alcuni modelli matematici biofilms.
                        Advisors: Roberto Natalini, Piero D'Ancona.


                      • September 2009 - July 2012: Bachelor degree in Mathematics, University of Rome "Sapienza".
                        Thesis: Il teorema della curva di Jordan.
                        Advisor: Piero D'Ancona.