- Free-surface hydrodynamics and wave-body interaction problems, including ship motions and loads, and ship wave resistance.
- Analytical dynamics and variational principles for hydromechanical systems containing bodies (rigid or elastic) and liquid with a free surface and/or interfaces.
- Partial differential equations, with emphasis on exterior (unbounded-domain) problems.
- Wave phenomena in the sea, including surface gravity waves, acoustic waves in water column and elastic waves in the sea bottom (modelling, mathematical theory, numerical methods).
- Wavelets and time-frequency techniques for studying wave propagation and scattering. Wavelet-Galerkin and Gabor-Galerkin techniques for solving wave propagation problems.
- Stochastic modelling and analysis of environmental parameters. Wave climate.
- Stochastic dynamis of mechanical and hydromechanical systems. Probabilistic characterization of the responses of dynamical systems. Stochastic wave propagation in the sea.
- Inverse problems associated with wave phenomena in the sea, including ocean acoustic tomography.
- Integrated software packages concerning the sea environment (geographical background, wind and surface waves).
