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Multi-physics models for hybrid kinetic-fluid and classical-quantum systems

Hamiltonian systems, from topology to applications through analysis I October 08, 2018 - October 12, 2018

October 12, 2018 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Cesare Tronci (University of Surrey)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Abstract

Many physical situations involve the interplay of different phenomena at different scales. The corresponding description requires the use of multi-physics models, whose mathematical formulation poses several challenges. Examples are found in the classical-quantum coupling in molecular dynamics or in the coupling between mean flow and fluctuation kinetics in turbulence. In plasma physics, the interaction of energetic particles (obeying kinetic theory) with a fluid bulk (obeying magnetohydrodynamics) requires formulating hybrid kinetic-fluid models, which are often obtained by making assumptions that destroy the correct energy balance. This talk shows how momentum-map techniques in geometric mechanics provide a powerful unifying framework for both kinetic-fluid and classical-quantum coupling, thereby leading to new hybrid models in different contexts.

Supplements
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Video/Audio Files

19-Tronci

H.264 Video 19-Tronci.mp4 260 MB video/mp4 Download
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