Roberta Bianchini

Roberta Bianchini

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

roberta.bianchini@ens-lyon.fr

Postdoc UMPA, École normale supérieure
46 allée d’Italie
69364 Lyon Cedex 07, France.

Supervisor: Laure Saint-Raymond.

Researchgate

Academia.edu

Floating image

Papers

  1. 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.
  2. R. Bianchini, R. Natalini, Well-posedness of a model of nonhomogeneous compressible-incompressible fluids,
    J. Hyp. Diff. Eq. 14 (3) (2017), 487-516.
  3. 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.
  4. 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.
  5. 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.
  6. R. Bianchini, L. Gosse, A ''truly-two dimensional'' discretization of drift-diffusion equations on Cartesian grid,
    SIAM Numerical Analysis 56 (5) (2018), 2845-2870.
  7. 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).
  8. R. Bianchini, Strong convergence of a vector-BGK model to the incompressible Navier-Stokes equations,
    to appear on Journal Math. Pures et Appl. (2019).
  9. R. Bianchini, A.-L. Dalibard, L. Saint-Raymond, Near-critical reflection of internal waves,
    preprint arXiv:1902.06669 (2018).
  10. R. Bianchini, R. Natalini, Space-time resonances analysis for partially dissipative hyperbolic systems,
    in preparation (2018).

      Experience

      • 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 (informatics, mechanics...),

        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.


          • CV in pdf