Fall 2026
October 22: Taoufik Hmidi (New York University Abu Dhabi, UAE)
Time and location: TBA
Title: Non-Rigid Time-Periodic Solutions to the Euler Equations in Bounded Domains
Abstract: In this talk, I will discuss several aspects of vortex dynamics for the two-dimensional Euler equations, with particular emphasis on the construction of time-periodic solutions. In the first part, I will review some results on the desingularization of point-vortex configurations leading to rigidly rotating or translating solutions. In the second part, I will focus on vortex motion in bounded planar domains. It is well known that, in a convex domain, the motion of a single point vortex is periodic. We will show that almost all of these periodic trajectories can be desingularized into time-periodic solutions consisting of concentrated vortex patches. The proof relies on a combination of KAM techniques, Nash-Moser scheme and tools from complex analysis.
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October 27: Eliott Gathercole (Koç Univesity, Turkey)
Time and location: TBA
Title: TBA
Abstract: TBA
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November 3: Aashraya Jha (Bilkent Univ, Turkey)
Time and location: TBA
Title: TBA
Abstract: TBA
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November 12: Diogo Arsénio (New York University Abu Dhabi, UAE)
Time and location: TBA
Title: TBA
Abstract: TBA
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November 19: Yassine Tahraoui (SNS Pisa, Italy)
Time and location: TBA
Title: TBA
Abstract: TBA
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December 4 : Oğuz Şavk (Middle East Technical University, Turkey)
Time and location: TBA
Title: TBA
Abstract: TBA