When?
Tuesdays, 12pm - 1pm in 891 Evans
First meeting: September 2 at noon.
What?
This will be an informal student seminar with the goal of learning about current topics in mathematical and computational fluid dynamics. We will bring our lunch and one person will present a paper or chapter (of a book or longer paper) in an understandable way with opportunities for questions and discussion. Some proposed papers are below, but we are open for suggestions! Bring your suggestions to the first organizational meeting on September 2!
If you want to be added to the mailing list, please send me an email.
Schedule:
Sept 2, 2025: Organizational meeting
Sept 9, 2025: No seminar
Sept 16, 2025: Franziska present paper by Iyer et al. Whither the Zeroth Law of Turbulence?
Sept 23, 2025: Franziska will continue the presentation from Sept 16. Daniel will present Survey by Tom Hou and Jiaje Chen: Singularity formation in 3D Euler equations with smooth initial data and boundary, PNAS 2025
Sept 30, 2025: Daniel will continue to present Survey by Tom Hou and Jiaje Chen: Singularity formation in 3D Euler equations with smooth initial data and boundary, PNAS 2025
Oct 7, 2025: Felix Brandt will present paper by Buckmaster et al.: Formation and development of singularities for the compressible Euler equations
Oct 14, 2025: Felix Brandt will continue the presentation from the previous week
Oct 21, 2025: Max Hirsch will present polynomial chaos paper
Oct 28, 2025: Tom Schang will lecture on SPDEs and their connections with fluid dynamics
Nov 4, 2025: Tom Schang will give a talk on SPDEs and their connections with fluid dynamics
Nov 18, 2025: Amy Dai will present loss of regularity in mixing
Dec 2, 2025
Dec 9, 2025
Proposed reading material:
Jiajie Chen and Thomas Y. Hou: Singularity formation in 3D Euler equations with smooth initial data and boundary, PNAS 2025 https://doi.org/10.1073/pnas.2500940122
Roberto Molinaro et al.: Generative AI for fast and accurate statistical computations of fluids, arxiv https://arxiv.org/abs/2409.18359v2
Kartik Iyer, Theodore Drivas, Gregory Eyink, Katepalli Sreenivasan: Whither the Zeroth Law of Turbulence? https://arxiv.org/abs/2504.13298
Ricardo Baptista, Andrew M. Stuart, Son Tran: A Mathematical Perspective on Contrastive Learning https://arxiv.org/abs/2505.24134
Tristan Buckmaster, Theodore D. Drivas, Steve Shkoller, Vlad Vicol: Formation and development of singularities for the compressible Euler equations https://ems.press/content/book-chapter-files/33264
Thomas Y. Hou: Nearly self-similar blowup of generalized axisymmetric Navier-Stokes equations https://arxiv.org/abs/2405.10916
Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith: Lagrangian chaos and scalar advection in stochastic fluid mechanics (and sequel papers) https://arxiv.org/abs/1809.06484
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