FREAK WAVES SIMULATION AND CONCLUSIVE SIMULATION

R.V.Shamin

Waves with extreme amplitude can arise in the nonlinear dynamics of the
ideal liquid with a free surface. Our aim is to show this effect. To solve this
problem, we should conduct a high-accuracy calculation on large intervals of
time. This become realizable due to properties of the functional differential
equations. We use equations of Dyachenko introduced.

The main idea is to obtain such theoretical results
that give an ability to make convincing conclusions about the
solvability of equations in terms of numerical experiments.