Current Developments in Mathematical Fluid Dynamics: Regularity, Instabilities, and Turbulence
(January 24-27, 2017)


Description

The purpose of the topical workshop is to gather leading experts, postdoctoral scholars, and graduate students, to present exciting new developments in the field of mathematical fluid dynamics. The focus of the meeting will be placed on current research on regularity, instabilities, and the onset of turbulence in fluid flow, from a theoretical and from a computational perspective. Despite their long and fruitful history, to date these topics continue to enchant and inspire mathematicians, physicists, and computational scientists: in part due to their ubiquitous applications in areas from aeronautical engineering to medicine, and in part because the basic mathematical questions are still open. Among these are global in time existence of solutions to the equations describing motion of inviscid and viscous fluids in three spatial dimensions, and the conjectured relation between the phenomenological theories of turbulence and the statistical properties of solutions to the underlying partial differential equations of fluid dynamics. These questions have inspired generations of researchers. In particular, the conference will celebrate the work of Susan Friedlander, who has been making important contributions in the field since 1970s.

Organizing Committee

  • Peter Constantin
    (Princeton University)
  • Nataša Pavlović
    (University of Texas at Austin)
  • Vlad Vicol
    (Princeton University)

= speaker    = poster presenter

Tuesday January 24, 2017
Time Description Speaker Location Abstracts Slides
8:30 - 8:55Registration11th Floor Collaborative Space
8:55 - 9:00WelcomeICERM Director11th Floor Lecture Hall
9:00 - 9:45Higher-order, unidirectional models for surface water wavesJerry Bona, University of Illinois at Chicago11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Asymptotic behavior of 2D incompressible ideal flow around small disksHelena Nussenzveig Lopes, Federal University of Rio de Janeiro11th Floor Lecture Hall
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11:30 - 12:15Fractional parabolic models arising in flocking dynamics and fluids.Roman Shvydkoy, UIC11th Floor Lecture Hall
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12:30 - 2:00Break for Lunch / Free Time
2:00 - 2:45Recent Progress on Euler Singularity and Related ModelsThomas Hou, Caltech11th Floor Lecture Hall
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3:00 - 3:45Critically diffusive active scalar equations and the second iterateWalter Rusin, Oklahoma State University11th Floor Lecture Hall
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3:45 - 4:15Coffee/Tea Break11th Floor Collaborative Space
4:15 - 5:00The dyadic model of the Navier-Stokes equationsAlexey Cheskidov, University of Illinois at Chicago11th Floor Lecture Hall
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5:00 - 6:30Welcome Reception11th Floor Collaborative Space

Wednesday January 25, 2017
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Dynamics of expanding gasesJuhi Jang, University of Southern California11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Steady Prandtl Layer ExpansionYan Guo, Brown University11th Floor Lecture Hall
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11:30 - 12:15Scattering Effect of the Boltzmann Transport Equation in All Space - Dispersion vs DissipationIrene Gamba, University of Texas at Austin11th Floor Lecture Hall
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12:30 - 12:40Group Photo11th Floor Lecture Hall
12:40 - 2:15Break for Lunch / Free Time
2:15 - 3:00Loss of regularity for transport equations with rough velocitiesAnna Mazzucato, Penn State University11th Floor Lecture Hall
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3:15 - 4:00Steady Water Waves of Large Amplitude with Stagnation and EddiesWalter Strauss, Brown University11th Floor Lecture Hall
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4:00 - 5:00Poster Session and Coffee/Tea Break11th Floor Collaborative Space

Thursday January 26, 2017
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Recent results on the 3D quasi-geostrophic equationAlexis Vasseur, The University of Texas at Austin11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Evolution Equations and Randomized Initial DataGigliola Staffilani, Massachusetts Institute of Technology11th Floor Lecture Hall
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11:30 - 12:15TBDMarta Lewicka, University of Pittsburg11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time
2:30 - 3:15TBDEdriss Titi, Texas A&M University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45TBDNathan Glatt-Holtz, Virginia Tech University11th Floor Lecture Hall
5:00 - 5:45Particle Laden Flow from Theory to ExperimentAndrea Bertozzi, UCLA11th Floor Lecture Hall
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6:30 - 9:00Conference BanquetTBD

Friday January 27, 2017
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Optimal wall-to-wall transport by incompressible flowsCharles Doering, University of Michigan11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15On the Cauchy problem for vortex ringsVladimir Sverak, University of Minnesota11th Floor Lecture Hall
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11:30 - 12:15Newton, Euler, Navier and GreenSusan Friedlander, University of Southern California11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time