Efim Pelinovsky Institute of Applied Physics, Nizhny Novgorod, Russia Rogue Waves: Facts, Theories and Modelling Wednesday 11th October 14:05-14:55pm, Carslaw Building Room 373. A review of physical mechanisms of the rogue wave phenomenon is given. The data of marine observations as well as laboratory experiments are briefly discussed. They demonstrate that freak waves may appear in deep and shallow waters. Simple statistical analysis of the rogue wave probability based on the assumption of a Gaussian wave field is reproduced. In the context of water wave theories the probabilistic approach shows that numerical simulations of freak waves should be made for very long times on large spatial domains and large number of realizations. The following mechanisms of the rogue wave formation are considered: dispersion enhancement of transient wave groups, geometrical focusing in basins of variable depth, wave-current interaction, nonlinear modulational instability (Benjamin\u2013Feir instability), and wind flow action. Specific numerical simulations were performed in the framework of various mathematical models: the nonlinear Schrodinger equation, the Davey-Stewartson system, the Korteweg-de Vries equation, the Kadomtsev-Petviashvili equation, the Zakharov equation, the fully nonlinear potential equations, and their forcing versions. The results of the numerical experiments show the main features of the physical mechanisms of rogue wave phenomenon. They are used to estimate the rogue wave life-time and explain the observed data.