# Seminars & Colloquia Calendar

## 3D Euler Equations on Manifolds with Symmetry.

#### Leandro Lichtenfelz (UPenn)

Location: ** Hill 705**

Date & time: Tuesday, 04 February 2020 at 2:50PM - 3:50PM

**Abstract**: The Euler equations of hydrodynamics are used to describe fluid flows in space. An interesting special case are the so-called axisymmetric flows, which serve as a model for phenomena such as hurricanes or tornadoes -- flows that spin around some axis, and therefore carry some symmetry. In order to gain some insight into difficult questions about these flows, we generalize the notion of axisymmetry to any Riemannian 3-manifold M carrying a Killing field, and describe how the equations change according to the geometry of M. We then prove that the data-to-solution map associated with axisymmetric flows is Fredholm, which was not known even in the classical case of R^3, and discuss some applications. This is joint work with G. Misiolek and S. Preston

Chiara Damiolini, Ian Coley and Franco Rota -Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

P. Gupta, X.Huang and J. Song Organizer's webpage

Swastik Kopparty, Sepehr Assadi Seminar webpage

Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage

Brooke Ogrodnik, Website

Robert Dougherty-Bliss and Doron Zeilberger --> homepage

Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage

Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

Jason Saied Seminar webpage

Brian Pinsky, Rashmika Goswami website

Quentin Dubroff Organizer's webpage

James Holland; Organizer website

Edna Jones Organizer's webpage

Brooke Ogrodnik website

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage

Organizer: Luochen Zhao

Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page

Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage

Simon Thomas website

Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis Organizer's Webpage

Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Brooke Ogrodnik, Website

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Fioralba Cakoni Seminar webpage

Ebru Toprak, Organizer

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