Lectures

I teach mathematics and numerical analysis at Université Côte d'Azur

Research Interests

My research interests are mathematical modelling and methods, numerical analysis and scientific computing
around nonlinear PDEs which arise in plasma physics and fluid mechanics:
 

  • Nonlinear Vlasov equations (charged particles transport processes, electromagnetic versus gravitational interactions)
  • Geometric reduction of Vlasov equations by geometric Liouville invariants (waterbags type models, multi–fluids models)
  • Quasilinear theory, models for plasma turbulence (Hamiltonian versus dissipative, resonant wave–particle interaction)
  • Hydrodynamics and Magneto–Hydrodynamics models (Incompressible Euler equations, MHD)
  • Semi-classical limits of nonlinear Schrödinger equations (WKB, singular interaction potential)
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