Academic Interests

My main interests are:

  • Fluid Turbulence
    • Dynamical system approach, Shell Models,
    • Blowup,
    • Numerical simulations.
  • Applied and Computational Mathematics
    • Numerical methods for ODE's and PDE's (mainly hyperbolic);
    • HPC,
    • Applications of dynamical systems
      • Stability theory,
      • Lyapunov exponents and Floquet multipliers,
      • fractal dimension evaluation,
      • attractors and bifurcation diagrams.
  • Hyperbolic Conservation Laws
    • wave propagation,
    • numerical methods.