Na narednom sastanku Seminara u četvrtak, 19. juna 2025. godine biće održana dva predavanja.
Prvo predavanje biće održano u sali 301f, Matematičkog instituta SANU, Kneza Mihaila 36, sa početkom u 17:15.
Predavač: Renzo L. Ricca, Department of Mathematics & Applications, U. Milano-Bicocca, Italy
Naslov predavanja: HELICITY CONSERVATION AND ITS TOPOLOGICAL INTERPRETATION
Apstrakt: 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 focusing 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].
References:
[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.
Drugo predavanje biće takođe održano u sali 301f, Matematičkog instituta SANU, Kneza Mihaila 36, sa početkom u 18 časova.
Predavač: Ljubica S. Velimirović, Faculty of Science and Mathematics, University of Niš, Serbia
Naslov predavanja: SHAPE AND ENERGY OF GEOMETRIC OBJECTS
Apstrakt: The talk is short description and presentation of the book Shape and Energy of Geometric Objects authored by L. Kauffman, L. Velimirović, M. Najdanović and S. Rančić, 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.
Napomena: Predavanja je moguće pratiti na daljinu putem linka
https://miteam.mi.sanu.ac.rs/asset/Li3YAD2j7FzmnARdP
