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SUMMARY:Motion by mean curvature from interacting particle systems - Tadah
 isa Funaki (University of Tokyo)
DTSTART:20220323T090000Z
DTEND:20220323T100000Z
UID:TALK171686@talks.cam.ac.uk
DESCRIPTION:We discuss the derivation of motion by mean curvature from two
  types of interacting particle systems\, Glauber-Zero range process and Gl
 auber-Kawasaki dynamics with speed change\, via hydrodynamic limit. Glaube
 r part of the system controls creation and annihilation of particles\, whi
 le the other part prescribes the interaction rule for particles performing
  random walks.\nMicroscopically\, the system exhibits a phase separation t
 o sparse and dense regions of particles and\, macroscopically\, the interf
 ace separating these two regions evolves under the MMC. We pass by the All
 en-Cahn equation with nonlinear Laplacian at an intermediate level.\nThe s
 o-called Boltzmann-Gibbs principle plays a fundamental role. We also rely 
 on Schauder estimate for quasilinear discrete PDEs.\nThe talk is based on 
 joint works with S. Sethuraman\, D. Hilhorst\, P. El Kettani and H. Park (
 arXiv:2004.05276\, arXiv:2112.13081)\, S. Sethuraman (arXiv:2112.13973)\, 
 P. van Meurs\, S. Sethuraman and K. Tsunoda (soon on arXiv).
LOCATION:Seminar Room 1\, Newton Institute
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