У току ове недеље биће организована два састанка:
19. 06. 2025. године са почетком од 17.15 у Сали 301ф, МИ САНУ, Кнеза Михаила 36.
Предавач: RENZO L. RICCA, Department of Mathematics & Applications, U. Milano-Bicocca, Italy
Наслов: Helicity conservation and its topological interpretation
Апстракт: Helicity is a fundamental conserved quantity of ideal fluid mechanics; its
conservation was discovered in the context of magnetic fields by Woltjer
in 1958, and in the context of the Euler equations by Moreau in 1961. But
it was only in 1968, with the original work of Moffatt, that helicity
acquired a topological meaning establishing a deep connection between
the continuous deformation of an ideal fluid and the topology of flow
maps [1]. Here we review this progress focussing on some of the key
features of these advances in relation to open problems of current research
[2], and highlighting modern trends in topological fluid dynamics [3].
[1] Moffatt, H.K. 2014 Helicity and singular structures in fluid dynamics. PNAS
USA 111, 3663-3670.
[2] Ricca, R.L 2025 Topological fluid dynamics and knotted fields. In
Encyclopedia of Mathematical Physics (ed. R. Szabo & M. Bojowald) 4, pp.
245-255. Academic Press (2nd edition).
[3] Ricca, R.L. & Liu, X. (Eds.) 2024 Knotted Fields. Lecture Notes in
Mathematics 2344. Springer-Nature, Switzerland.
19. 06. 2025. године са почетком од 18.00 у Сали 301ф, МИ САНУ, Кнеза Михаила 36.
Предавач: Ljubica S. Velimirovic Faculty of Science and Mathematics, University of Nis, Serbia
Наслов: Shape and energy of Geometric objects
Апстракт: The talk is short description and presentation of the book Shape and Energy of Geometric Objects authored by L. Kauffman, L. Velimirovic, M. Najdanovic and S. Rancic, to be published by World Scientific 2025. This book is based on many different works by authors from recent decades, but also on some new results. Many papers relevant to the research are cited in the literature.
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