Dynamics of Small Scales in Fluids
(February 13-17, 2017)

Picture
Surface quasi-geostrophic turbulence, from I. M. Held,
R. T. Pierrehumbert, S. T. Garner, and K. L. Swanson,
“Surface quasi-geostrophic dynamics,”
J. Fluid Mech., 282 (1995), pp. 1-20.


Description

Most of the scientific interest in incompressible fluid dynamics is, in one way or another, associated with the dynamics of small scales. In particular, the generation and amplification of small-scale motions is at the heart of the analysis of instabilities, of the problem of finite-time singularities, of fluid-structure interaction and of the study of both onset and fully developed turbulence. This topic has a long history and remains very active today. As the mathematical toolbox increases and with the improvement of high-speed computing, it has seen considerable progress in recent years. In this workshop we will focus on exploring this point-of-view while showcasing recent results and encouraging new collaborations.

Organizing Committee

= speaker    = poster presenter

Monday February 13, 2017
Time Description Speaker Location Abstracts Slides
8:30 - 8:55Registration121 South Main Street, Providence, RI, United States 11th Floor
8:55 - 9:00WelcomeBrendan Hassett, ICERM Director11th Floor Lecture Hall
9:00 - 9:45The vanishing viscosity limit in porous mediaAnna Mazzucato, Pennsylvania State University11th Floor Lecture Hall
PDF
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Analysis of Boundary Layers- the Good, the Bad, and the UglyToan Nguyen, Pennsylvania State University11th Floor Lecture Hall
PDF
11:30 - 12:15Multiscale Coherent States in canonical shear flows and Rayleigh-Bénard convectionFabian Waleffe, University of Wisconsin-Madison11th Floor Lecture Hall
PDF
12:30 - 2:30Break for Lunch / Free Time
2:30 - 3:15Of Kato and PrandtlJim Kelliher, University of California Riverside11th Floor Lecture Hall
PDF
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45Stability of the Couette flow in dimension 3Pierre Germain, NYU11th Floor Lecture Hall
PDF
5:00 - 6:30Welcome Reception11th Floor Collaborative Space

Tuesday February 14, 2017
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Enhanced damping and instability index theorem for 2D Euler equationZhiwu Lin, Georgia Institute of Technology11th FLoor Lecture Hall
PDF
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Uniformly rotating smooth solutions for active scalarsJavier Gomez Serrano, Princeton University11th Floor Lecture Hall
PDF
11:30 - 12:15Mixing and un-mixing by incompressible flowsYao Yao, Georgia Tech11th Floor Lecture Hall
PDF
12:30 - 2:30Break for Lunch / Free Time
2:30 - 3:15Growth and singularity in 2D fluidsAndrej Zlatos, University of California, San Diego11th Floor Lecture Hall
PDF
PDF
3:30 - 5:00Poster Session / Coffee Tea Break11th Floor Collaborative Space

Wednesday February 15, 2017
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Self-similar vortex spiralsVolker Elling, University of Michigan11th FLoor Lecture Hall
PDF
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Separation for the stationary Prandtl equationAnne-Laure Dalibard, Pierre-and-Marie-Curie University11th Floor Lecture Hall
PDF
11:30 - 12:15Steady water waves with localized vorticityChongchun Zeng, Georgia Institute of Technology11th Floor Lecture Hall
PDF
12:30 - 12:40Group Photo11th Floor Lecture Hall
12:40 - 2:30Break for Lunch / Free Time
2:30 - 3:15On the Muskat problemRobert Strain, University of Pennsylvania11th Floor Lecture Hall
PDF
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45Singularity Formation in Fluid ModelsTarek Elgindi, Princeton University11th Floor Lecture Hall
PDF

Thursday February 16, 2017
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Derivation of the Ornstein-Uhlenbeck process for a massive particle in a rarified gas of particlesIsabelle Gallagher, Université Paris-Diderot11th Floor Lecture Hall
PDF
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15On the range of scales in the route to turbulenceDwight Barkley, University of Warwick11th Floor Lecture Hall
PDF
11:30 - 12:15Global well-posedness of the primitive equations of oceanic and atmospheric dynamicsJinkai Li, The Chinese University of Hong Kong11th Floor Lecture Hall
PDF
PDF
12:30 - 2:30Break for Lunch / Free Time
2:30 - 3:15Microdroplet instablity for a least-action principle for incompressible dropletsJian-Guo Liu, Duke University11th Floor Lecture Hall
PDF
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45Vanishing viscosity limit for incompressible flows with symmetry.Milton Lopes Filho, Instituto de Matemática - UFRJ11th Floor Lecture Hall
PDF

Friday February 17, 2017
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Onsager conjecture and beyondTristan Buckmaster, Courant Institute of Mathematical Sciences at NYU11th Floor Lecture Hall
PDF
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15On the Navier–Stokes equations beyond perturbative regimesJulien Guillod, Princeton University11th Floor Lecture Hall
PDF
11:30 - 12:15On the self-similar blow-up scenario for the Euler equationsAnne Bronzi, UNICAMP11th Floor Lecture Hall
PDF
12:30 - 2:30Break for Lunch / Free Time
2:30 - 3:15Recent advances in boundary layer at vanishing viscosity limit.Claude Bardos, Laboratoire Jacques Louis Lions Denis Diderot University Branch11th Floor Lecture Hall
PDF
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space