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SUMMARY:Anisotropic Inviscid Limit for the Navier-Stokes Equations with Tr
 ansport Noise Between Two Plates
DTSTART:20260324T163000
DTEND:20260525T173000
DTSTAMP:20260509T025305Z
UID:9144d30aa7873f6c72509d46f9cfa78c4fbc39abd5900cd6ed69d5a1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr Daniel Goodair (EPFL)\nWe investigate an anisotropic vanish
 ing viscosity limit of the 3D stochastic Navier-Stokes equations posed bet
 ween two horizontal plates\, with Dirichlet no-slip boundary condition. Th
 e turbulent viscosity is split into horizontal and vertical directions\, e
 ach of which approaches zero at a different rate. The underlying Cylindric
 al Brownian Motion driving our transport-stretching noise is decomposed in
 to horizontal and vertical components\, which are scaled by the square roo
 t of the respective directional viscosities. We prove that if the ratio of
  the vertical to horizontal viscosities approaches zero\, then there exist
 s a sequence of weak martingale solutions convergent to the strong solutio
 n of the deterministic Euler equation on its lifetime of existence. A part
 icular challenge is that the anisotropic scaling ruins the divergence-free
  property for the spatial correlation functions of the noise.
LOCATION:MA B2 485
STATUS:CANCELLED
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