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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

19-Tronci

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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Asset no preview Notes 8.03 MB application/pdf Download
Video/Audio Files

19-Tronci

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