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SUMMARY:Martin Hairer (Imperial College London\, UK)
DTSTART:20220407T153000Z
DTEND:20220407T163000Z
DTSTAMP:20260423T040037Z
UID:SIAM-PDE/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SIAM-PDE/19/
 ">Directed mean curvature flow in noisy environment</a>\nby Martin Hairer 
 (Imperial College London\, UK) as part of Seminar In the Analysis and Meth
 ods of PDE (SIAM PDE)\n\n\nAbstract\nWe consider the directed mean curvatu
 re flow on the plane in a weak Gaussian random environment and show that\,
  when started from a sufficiently flat initial condition\, a rescaled and 
 recentred solution converges in a suitable scaling limit to the solution o
 f the KPZ equation. This result follows from the analysis of a more genera
 l system of nonlinear stochastic PDEs driven by inhomogeneous noises\, usi
 ng the theory of regularity structures. This is joint work with Andris Ger
 asimovics (U. Bath) and Konstantin Matetski (U. Columbia).\n
LOCATION:https://researchseminars.org/talk/SIAM-PDE/19/
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