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Oberseminar AG Mathematische Modellierung - Montag, 23.01.23 um 17:00 Uhr

Vortrag von Dr. Jörn Wichmann (Bielefeld) mit dem Titel „Temporal regularity of power-law fluids under stochastic perturbations"

Das Seminar findet in B7- Raum 309 - Seminarraum B [Mathematik]statt

Abstract: Humans have always been interested in fluids. However, many interesting aspects have not been understood yet. Maybe most prominent are the 3-dimensional Navier-Stokes equations as the core of one of the Millenium problems. We will not deal with the Navier-Stokes system that describes Newtonian fluids. But instead we focus on power-law fluids in the regime of laminar flow. These are modelled by the p-Stokes system.

Already in the absence of turbulence, additional difficulties arise through the non-linear structure of the system as well as the low regularity of the stochastic perturbation. We will elaborate on the difficulties and try to build up an intuition on what regularity is natural. Finally, we present the temporal regularity results and give an application of the natural regularity within the development of numerical algorithms.


Nachrichtenalter: 19.12.2022 12:57


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