The mathematical problem is properly represented
by the well known Navier-Stokes equations, which can describe the dynamics
of any fluid of practical interest. Adding suitable interface conditions,
the coupling between air and water is well posed and even if no general
analytical solution is currently available, numerical solutions can be
computed by exploiting the computational power of modern parallel computers.
(Image courtesy of CMCS (Chair of Modeling and Scientific Computing-EPFL-Lausanne))