Foundation for Research and Technology

Research interests:

A. Ocean Acoustics

• Inverse scattering for acoustic waveguides
• Nonlocal boundary conditions for acoustic/elastic waves
• Time-frequency analysis for signals in waveguides
  

B. Multiphase Geometrical Optics

• Computation of high-frequency fiels near caustics in stratified media
• Multivalued solutions of the eikonal equation
• Phase space techniques (Wigner transform, Lagrangian integrals)
  
  (activity related to the TMR Programmes : "Hyperbolic Conservation Laws" & "Viscosity Solutions and their Applications" and the IHP Programme: Hyperbolic and Kinetic Equations:Asymptotics, Numerics, Analysis)
  
  
  Recent related papers:
  
• Semiclassical Wigner function and geometrical optics (with S. Filippas),
  SIAM Multiscale Modeling & Simulation, Vol. 1, No.4, pp.674-710, 2004.
  
• High frequency waves near cusp caustics (with. E. Kaligiannaki & T. Katsaounis),
  Quarterly of Applied Mathematics, Vol. XLI, No. 1, pp. 111-129, 2003.
  
• Computation of high-frequency fields near caustics(with T. Katsaounis & G.T. Kossioris),
  Mathematical Methods and Models in Applied Sciences, Vol. 11, No. 2, pp. 1-30, 2001.
  
• Multivalued solutions to the eikonal equation in stratified media (with S. Izumiya & G.T. Kossioris),
  Quarterly of Applied Mathematics, Vol. 59, No. 2, pp. 365-390, 2001.
  
  

PROJECTS

MARIE CURIE FELLOWHIPS PROGRAM
"Modelling and Computations in Wave Propagation"

BILATERAL GERMAN-GREEK PROGRAM
"New Analytical and Numerical Methods in Underwater Acoustics "