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Universität Augsburg
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Universität Augsburg
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Professor Dr. László Székelyhidi
MPI MiS Leipzig
spricht am
Mittwoch, 12. November 2025
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16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| A well-known but often mis-interpreted phrase in the context of chaotic dynamics is the butterfly effect, derived from the title of a talk given by Edward Lorenz in 1972: Does the flap of a butterfly's wings in Brazil set off a tornado in Texas? Whereas no serious meteorologist would take such a scenario literally, the phrase refers to a highly sensitive dependence of the dynamics to the initial conditions, for which we can find examples already in low dimensions. In the context of high-dimensional systems, often arising in fluid dynamics and, more importantly, weather prediction, Lorenz predicted an even more dramatic scenario, nowadays referred to as the “real” butterfly effect; in mathematical terms this leads to non-uniqueness or spontaneous stochasticity. At the same time turbulent flows seemingly exhibit a kind of universality, which allows one to make predictions on a coarse scale in practice. The mathematical foundations of these two, seemingly contradictory phenomena, is still not fully explored, but much progress has been achieved in recent years. In this talk I will survey some of the recent developments and outline current challenges in this exciting and rapidly evolving area of applied mathematics. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Bernhard Hanke |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).