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FU-Berlin
Oberseminar Numerische Mathematik/ Scientific Computing
Alex Mahalov, Arizona State University
Stochastic Three-Dimensional Rotating Navier-Stokes Equations: Averaging, Convergence and Regularity
Programm / Abstract:
We consider stochastic three-dimensional rotating Navier-Stokes equations and prove averaging theorems for stochastic problems in the case of strong rotation. Regularity results are established by bootstrapping from global regularity of the limit stochastic equations and convergence theorems. The energy injected in the system by the noise is large, the initial condition has large energy, and the regularization time horizon is long. Regularization is the consequence of a precise mechanism of relevant three-dimensional nonlinear dynamics. We establish multiscale averaging and convergence theorems for the stochastic dynamics.
References
F. Flandoli and A. Mahalov, Stochastic 3D Rotating Navier-Stokes equations: averaging, convergence and regularity, Archive for Rational Mechanics and Analysis, 205, Issue 1 (2012), p. 195–237.
Zeit:
am Montag den 27. Mai 2013 um 17:00
Ort:
Institut für Mathematik
Arnimallee 6
14195 Berlin
031 EG
eingetragen von S. Nordt(nordt@math.fu-berlin.de, )