Mathematical modeling of unsteady multiphase flow problems; Numerical methods for time-dependent partial differential equations: Finite element, Boundary integral, Finite volume and Finite difference methods, mesh generators and mesh adaptive technique; Application software in Fluid dynamics: Viscoelastic and interfacial flows, Three-phase dynamic contact lines, Heat and mass transfer; Computer simulations of complex multiphase fluid processes: Wetting, Film drainage and rupture, Drop coalescence, Drop breakup, Foam dynamics.