Sep 14 – 16, 2020
SISSA
Europe/Rome timezone

Numerical study of solutions to the Zakharov-Kuznetsov equation in two and three dimensions

Sep 14, 2020, 11:00 AM
50m
Chairman: Davide Guzzetti

Chairman: Davide Guzzetti

Scientific Programme

Speaker

Nikola Stoilov ( Institut de Mathématiques de Bourgogne)

Description

In this work we look at the behaviour of solutions to the Zakharov Kuznetsov (ZK) equations, using advanced numerical tools. ZK is a nonlinear dispersive PDE and can be seen as a generalisation of
the KdV, however it is not integrable. We demonstrate how the behaviour of its solutions exhibits its dispersive PDE’s nature and will look at blow-up, soliton resolution and soliton interaction and discuss how the non-integrability transpires in these cases. We propose several conjectures for the long term behaviour.
Based on joint works with Christian Klein and Svetlana Roudenko.

Primary author

Nikola Stoilov ( Institut de Mathématiques de Bourgogne)

Presentation materials

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