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)