Biography

I am post-doc fellow in the mathematical physics group at the Institut Fourier, University of Grenoble Alpes, supervised by C. Lacave. My research focuses on applied PDEs, mainly on the mathematical analysis of fluid dynamic and dispersive equations.

Before joining the Institut Fourier, I completed my PhD thesis at Gran Sasso Science Institute under the supervision of P. Antonelli and P. Marcati concerning the mathematical analysis of some hydrodynamic models describing quantum fluids and singular limits for these systems.

I am broadly interested in applied partial differential equations arising in physical phenomena. Currently I focus on the study of singular solutions to hydrodynamic systems.

Interests

  • partial differential equations and applied analysis
  • mathematical analysis of fluid dynamics
  • dispersive equations

Education

  • PhD in applied Mathematics for natural, social and life sciences, Oct. 2019

    Gran Sasso Science Insitute, Italy

  • MSc in Mathematics, Jan. 2015

    Universita di Pisa, Italy

  • BSc in Mathematics, Oct. 2012

    Rheinische Friedrich-Wilhelms Universitaet Bonn, Germany

Recent Publications

(2020). On the Cauchy problem for the QHD system with infinite mass and energy: applications to quantum vortex dynamics. in preparation.

(2020). Global existence of finite energy weak solutions to the Quantum Navier-Stokes equations with non-trivial far-field behavior. preprint on the arXiv.

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(2020). The incompressible limit for finite energy weak solutions of quantum Navier--Stokes equations. Proceedings of the XVII International Conference (HYP2018) on Hyperbolic Problems, AIMS.

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(2019). On the low Mach number limit for Quantum Navier-Stokes equations. preprint on the arXiv.

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Recent & Upcoming Talks

Low Mach number limit for quantum Navier-Stokes eq.
Incompressible limit for Quantum Navier-Stokes equations and related problems
Low Mach number limit for Quantum Navier-Stokes equations

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