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TU-Clausthal Institute of Mathematics
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Advanced seminar AG Mathematical Modeling

Monday, 03.07.2023 at 17.00 in B7-209 - Seminar room A

 

Lecture by Dr. Thamsanqa Castern Moyo (TU Clausthal) with the title: "Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise".

Abstract:
We study the 2D Navier-Stokes equation with transport noise subject to periodic boundary conditions. Our main result is an error estimate for the time-discretization showing a convergence rate of order (up to) 1/2. It holds with respect to mean square error convergence, whereas previously such a rate for the stochastic Navier-Stokes equations was only known with respect to convergence in probability. Our result is based on uniform-in-probability estimates for the continuous as well as the time-discrete solution exploiting the particular structure of the noise

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