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SUMMARY:A soliton gas versus a soliton - Tamara Grava (SISSA)
DTSTART:20220708T140000Z
DTEND:20220708T153000Z
UID:TALK176423@talks.cam.ac.uk
DESCRIPTION:We analyze various integrable dispersive equations when the nu
 mber of&nbsp\;solitons goes to infinity and we call this kind of solutions
  a deterministic soliton &nbsp\;gas.We then analyze the behaviour of a sin
 gle soliton interacting with a soliton gas.We are able to derive the kinet
 ic velocity equations and the local phase shift of the gasafter the passag
 e of the soliton\, and we can trace the location of the soliton peak as th
 e dynamicsevolves.Based on&nbsp\;\n\nGirotti\, 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&ndash\;784.\nGirotti\, M.\; Gra
 va\, T.\; Jenkins\, R.\; McLaughlin\, K. D. T.-R. &nbsp\; Soliton v. the g
 as: Fredholm determinants\, analysis\, and the rapid oscillations behind t
 he kinetic equation.\\\\ Preprint &nbsp\;https://arxiv.org/pdf/2205.02601.
 pdf\nBertola\, &nbsp\;M.\; Grava\, T.\; Orsatti\, G. Soliton shielding of 
 the focusing nonlinear Schrodinger equation. Preprint &nbsp\;https://arxiv
 .org/pdf/2112.05985.pdf\n
LOCATION:Seminar Room 2\, Newton Institute
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