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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:49 |
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Conference: Bucharest University Faculty of Physics 2021 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Beltrami fields on compact spaces - topology and dynamics
Authors:
Radu SLOBODEANU (1)
Affiliation:
1) University of Bucharest, Faculty of Physics, Romania
E-mail
radualexandru.slobodeanu@g.unibuc.ro
Keywords:
force-free fields, chaos, exact solutions
Abstract:
Beltrami fields (aka force-free fields in magnetohydrodynamics) are special equilibrium solutions of Euler equations for inviscid perfect fluids. They are key ingredients in modelling of Lagrangian turbulence and exhibit chaotic dynamics almost surely, as proved in a recent reserch. In the first part of this talk we present some results on nowhere vanishing Beltrami fields that are interesting from the contact topology viewpoint. In the second part, we present a numerical investigation (in collaboration with M. Marciu, FTMOPL) of chaotic dynamics of a special family of Beltrami fields on the 3-torus that mimicks the celebrated study of ABC flows.
References:
[1] Peralta-Salas, Daniel, and Radu Slobodeanu. "Contact structures and Beltrami fields on the torus and the sphere." arXiv preprint arXiv:2004.10185 (2020).
[2] Marciu, Mihai, and Radu Slobodeanu. "ABC-like flows on the 3-torus" work in progress.
[3] Dombre, Thierry, et al. "Chaotic streamlines in the ABC flows." Journal of Fluid Mechanics 167 (1986): 353-391.
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