Nonlinear and dispersive waves in a basin

Nonlinear and dispersive waves in a basin

Surface water waves of significant interest such as tsunamis and solitary waves are nonlinear and dispersive waves. Unluckily, the equations describing the propagation of surface water waves known as Euler’s equations are immensely hard to solve.

In this presentation we show that among the so many simplified systems of PDEs proposed as alternative approximations to Euler’s equations there is only one proven to be well-posed (in Hadamard’s sense) in bounded domains with slip-wall boundary conditions.

We also show that the system obeys most of the physical laws that acceptable water waves equations must obey. Validation with laboratory data is also presented.

Speaker

Dimitrios Mitsotakis, Victoria University of Wellington

How to attend

If not a member of the Dept. Mathematical Science at the University of Essex, you can register your interest in attending the seminar and request the Zoom’s meeting password by emailing Dr Jesus Martinez-Garcia (jesus.martinez-garcia@essex.ac.uk)