COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Soliton versus the gas: Fredholm determinants, analysis, and kinetic equations

## Soliton versus the gas: Fredholm determinants, analysis, and kinetic equationsAdd to your list(s) Download to your calendar using vCal - Manuela Girotti (Saint Mary's University)
- Tuesday 06 September 2022, 10:30-11:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. HY2W02 - Analysis of dispersive systems We analyze the case of a dense mKdV soliton gas and its large time behaviour in the presence of a single trial soliton. We show that the solution can be expressed in terms of Fredholm determinants as well as in terms of a Riemann-Hilbert problem. We then show that the solution can be decomposed as the sum of the background gas solution (a modulated elliptic wave), plus a soliton solution: the individual expressions are however quite convoluted due to the interaction dynamics. Additionally, we are able to derive the local phase shift of the gas after the passage of the soliton, and we can trace the location of the soliton peak as the dynamics evolves. Finally we show that the soliton peak, while interacting with the soliton gas, has an oscillatory velocity whose leading order average value satisfies the kinetic velocity equation analogous to the one posited by V. Zakharov and G. El. 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 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsFestival of Ideas: Spotlight Talks Cambridge Assessment CQIF Blackboard Talk## Other talksGateway- CCIMI Magnetic Perspective on the Interior of Saturn (Invited speaker) Industrial Challenges of the Agriculture Sector Climate Response and Sensitivity: Timescales and Late Tipping Points TBC Dynamics and Stability of Flow Structures in Liquid Metal Batteries |