Thematic list of publications (with intersections):

• Semiclassical analysis, geometric optics:
  • Schrödinger equation
  • Wave equation
• Cauchy problem and dynamical properties:
  • Large time dynamics and dispersion
  • Nonlinear Schrödinger equation with potential
  • Instabilities in nonlinear Schrödinger equation
  • Nonlinear equations with damping
  • Quantum dynamics
  • Standing waves: existence and stability
  • Fluid mechanics
  • Parabolic equations
• Numerical analysis