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Mar 5, 2024

Derivation of mean-field models for sedimenting particles with small inertia

Mathphys Analysis Seminar

Date: March 5, 2024 | 5:15 pm – 6:15 pm
Speaker: Richard Schubert, University of Bonn
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language: English

Starting from a microscopic model for sedimenting particles, we will discuss the derivation of mesoscopic and macroscopic equations for the behaviour of their respective phase-space and number density. We will see that the resulting mean-field limits – the transport-Stokes and the Vlasov-Stokes equation – can be understood as zero and first order approximation of the microscopic dynamics in terms of strength of the inertia of the particles. I will show how the classical approach of Hauray to mean-field limits can be generalized to arbitrary Wasserstein distances and how information on the well-behaved zero-order approximation can be used to perturbatively derive a fluid-kinetic equation from microscopic dynamics. Based on joint work with Richard Hfer (Regensburg).

More Information:

Date:
March 5, 2024
5:15 pm – 6:15 pm

Speaker:
Richard Schubert, University of Bonn

Location:
Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)

Language:
English

Contact:

Oosthuizen-Noczil Birgit

Email:
boosthui@ist.ac.at

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