Nonlinear and dispersive waves in a basin

  • Thu 24 Feb 22

    15:00 - 16:00

  • Online


  • Event speaker

    Dimitrios Mitsotakis

  • Event type

    Lectures, talks and seminars

  • Event organiser

    Mathematics, Statistics and Actuarial Science, School of

  • Contact details

    Jesus Martinez-Garcia

These Departmental Seminars are for everyone in Maths. We encourage anyone interested in the subject in general, or in the particular subject of the seminar, to come along. It's a great opportunity to meet people in the Maths Department and join in with our community.

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.


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)