Dr. Robert Jenkins | Generalized Soliton Gas Dynamics

Speaker: Dr Robert Jenkins (University of Central Florida)
Date: 1st Aug 2024
Title: Generalized Soliton Gas Dynamics
Event: (PDWW01) Frontiers of Dispersive Hydrodynamics
Abstract: In this talk we will discuss a model of soliton gas realizations known as primitive potentials. The family of primitive potentials was first introduced in [1] as a model of a soliton gas for the KdV equation. In this talk we will first review previous work [2], [3] in which we prove that suitably scaled multi-soliton solutions do converge to primitive potentials in the many-soliton limit. This approach, however, can only captures a subset of the family of primitive potentials and results in interesting but specialized gas dynamics. Our recent results, using a new approach, can realize the full family of primitive potentials. We will then discuss the resulting far-field (|x|, t ≫ 1) dynamics of general primitive potentials and how they interact with radiation.
[1] S. Dyachenko, D. Zakharov, V. Zakharov. Phys. D 333 148 (2016).[2] M. Girotti, T. Grava, R. Jenkins, K. McLaughlin, Comm. Math. Phys. 384 733 (2021).[3] M. Girotti, T. Grava, R. Jenkins, K. McLaughlin, A. Minakov, Comm. Pure. and Appl.Math. 76 3233 (2023).
👉 Want to learn more about the talks in this stream?
🔗| Seminar Link: www.newton.ac....
🔗| Workshop Link: www.newton.ac....
-------------------
FOLLOW US
🌐| Website: www.newton.ac.uk
🎥| Main Channel: / @isaacnewtoninstitute
🐦| Twitter: / newtoninstitute
💬| Facebook: / newton.institute
📷| Instagram: / isaacnewtoninstitute
🔗| LinkedIn: / isaac-newton-institute...
SEMINAR ROOMS
🥇| INI Seminar Room 1: / @iniseminarroom1
🥈| INI Seminar Room 2: / @iniseminarroom2
🛰️| INI Satellite Events: / @inisatellite
ABOUT
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
👉 Learn more about us and our events here: www.newton.ac.uk