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SUMMARY:Singular stochastic nonlinear wave equations and the hyperbolic O(
 N) linear sigma model [CRC 1720: Early Career Seminar]
DTSTART:20260113T131500Z
DTEND:20260113T141500Z
DTSTAMP:20260809T192400Z
UID:indico-event-835@math-events.uni-bonn.de
CONTACT:sfb1720-seminar@uni-bonn.de
DESCRIPTION:Speakers: Shao Liu\n\nIn this talk\, I will first present rece
 nt development in the well-posedness theory for singular stochastic nonlin
 ear wave equations (SNLW) forced by space-time white noise on the two-dime
 nsional torus. These results build on the work by Gubinelli-Koch-Oh (2018)
  and GKO-Tolomeo (2022). One of the main difficulties of this problem come
 s from the roughness of the white noise.\n    I will then briefly discuss 
 the hyperbolic O(N) linear sigma model on the two-dimensional torus\, name
 ly\, a coupled system of N interacting SNLW with cubic nonlinearities. By 
 adapting the methods developed for SNLW\, we establish well-posedness of t
 he hyperbolic O(N) linear sigma model.\nFurthermore\, we prove that this m
 odel converges to the mean-field SNLW as N tends to infinity. This part of
  the talk is based on a joint work with Ruoyuan Liu (University of Bonn) a
 nd Tadahiro Oh (University of Edinburgh).\n \n\nhttps://math-events.uni-b
 onn.de/event/835/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/835/
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