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SUMMARY:Introduction to wave turbulence theory
DTSTART:20251215T153000Z
DTEND:20251215T163000Z
DTSTAMP:20260424T050700Z
UID:indico-event-15783@indico.math.cnrs.fr
DESCRIPTION:Speakers: Enguerrand Brun\n\n\nThe sixth Hilbert problem is ab
 out treating "in the same manner\, by means of axioms\, those physical sci
 ences in which already today mathematics plays an important part\; in the 
 first rank are the theory of probabilities and mechanics.". In particular\
 , the question of how to go from microscopic laws to mesoscopic laws in na
 ture is fundamental\, and physicist have for long derived mesoscopic laws 
 for many body systems. The point of Hilbert's sixth problem is to justify 
 these derivations mathematically rigorously. One example would be a system
  of N particles of small radius r which obey the fundamental laws of Newto
 n. We take the number of particles to infinity and their radius to 0 to de
 rive Boltzmann equations. Of course\, N and r have to dependent one on the
  other for the derivation to work. Wave turbulence is about making similar
  derivations but replacing the many body systems by a "many wave" system. 
 The microscopic law will be a Schrödinger equation and our mesoscopic one
  a kinetic equation. We will only give the heuristic of the proof and not 
 go into the details of the analysis. \n\n\nhttps://indico.math.cnrs.fr/ev
 ent/15783/
LOCATION:S435 (UMPA)
URL:https://indico.math.cnrs.fr/event/15783/
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