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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Experimental nonlinear waves along a torus of flui
d - Eric Falcon (UniversitÃ© Paris CitÃ©)
DTSTART;TZID=Europe/London:20221021T113000
DTEND;TZID=Europe/London:20221021T120000
UID:TALK182609AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/182609
DESCRIPTION:In this talk\, I will show that a periodic\, curve
d and one-dimensional system leads to significant
differences compared to classical straight geometr
ies for wave propagation. By means of an original
technique\, we have experimentally succeeded in fo
rming a stable torus of liquid [1\,2]. I will firs
t show the dispersion relation of linear azimuthal
waves propagating along the torus\, leading to a
rich spectral signature in the form of several pro
pagation modes [1]. Then\, I will focus on nonline
ar waves obtained for a strong enough forcing. In
particular\, I will highlight the observation of s
ubsonic elevation solitons which are due to the pe
riodicity of the system. These effects are explain
ed by applying periodic boundary conditions to a K
orteweg-de Vries equation yielding also a nonlinea
r dependence of the soliton velocity on its amplit
ude. The periodic inverse scattering transform is
also implemented and experimentally validated in t
his geometry. Finally\, I will discuss the presenc
e of a three-wave resonant interaction in this sys
tem resulting from the interaction between two pro
pagation modes [3]. Our works thus paves the way t
o observe other nonlinear phenomena such as wave t
urbulence\, soliton gas\, or recurrence in this sp
ecific geometry.\n \;\nWe thank the support of
the French National Research Agency (ANR SoGood N
o. ANR-21-CE30-0061-04) and the Simons Foundation
MPS No. 651463 (USA).\n \;\n[1] F. Novkoski\,
E. Falcon and C.-T. Pham\, Physical Review Letters
127\, 144504 (2021) Experimental Dispersion Relat
ion of Surface Waves Along a Torus of Fluid\n[2] F
. Novkoski\, C.-T. Pham\, E. Falcon\, Europhysics
Letters (EPL) 139\, 53003 (2022) Experimental obse
rvation of periodic Korteweg-de Vries solitons alo
ng a torus of fluid\n[3] F. Novkoski\, C.-T. Pham\
, E. Falcon in preparation (2022) Experimental obs
ervation of triadic resonant instability between s
loshing and gravity-capillary surface waves\n
\;\nCo-authors: F. Novkoski (Univ. Paris Cit&eacut
e\;)\, C.-T. Pham (Univ. Paris-Saclay)
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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