A soliton gas versus a soliton

Add to your list(s) Download to your calendar using vCal

• Tamara Grava (SISSA)
• Friday 08 July 2022, 15:00-16:30
• Seminar Room 2, Newton Institute.

If you have a question about this talk, please contact nobody.

HYD2 - Dispersive hydrodynamics: mathematics, simulation and experiments, with applications in nonlinear waves

We analyze various integrable dispersive equations when the number of solitons goes to infinity and we call this kind of solutions a deterministic soliton  gas.We then analyze the behaviour of a single soliton interacting with a soliton gas.We are able to derive the kinetic velocity equations and the local phase shift of the gasafter the passage of the soliton, and we can trace the location of the soliton peak as the dynamicsevolves.Based on 

Girotti, M.; Grava, T.; Jenkins, R.; McLaughlin, K. D. T.-R. Rigorous asymptotics of a KdV soliton gas. Comm. Math. Phys. 384 (2021), no. 2, 733–784. Girotti, M.; Grava, T.; Jenkins, R.; McLaughlin, K. D. T.-R.   Soliton v. the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation.\\ Preprint  https://arxiv.org/pdf/2205.02601.pdf Bertola,  M.; Grava, T.; Orsatti, G. Soliton shielding of the focusing nonlinear Schrodinger equation. Preprint  https://arxiv.org/pdf/2112.05985.pdf

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 2, Newton Institute
• bld31

Note that ex-directory lists are not shown.