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DTSTART;TZID=America/Los_Angeles:20221024T161500
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CREATED:20220929T220052Z
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SUMMARY:Applied Math Seminar: Susan Friedlander (USC)
DESCRIPTION:Title: Kolmogorov\, Onsager and a Dyadic Model for Turbulence \nAbstract: We will briefly review Kolmogorov’s ( 41) theory of homogeneous turbulence\nand Onsager’s ( 49 ) conjecture that in 3-dimensional turbulent flows energy\ndissipation might exist even in the limit of vanishing viscosity. \nAlthough over the past 70 years there is a vast body of literature related to this subject\,\nat present there is no rigorous mathematical proof that the solutions to the Navier-Stokes\nequations yield Kolmogorov’s laws. For this reason various models have been introduced\nthat are more tractable but capture some of the essential features of the Navier-Stokes\nequations themselves. We will discuss one such dyadic model for turbulent energy cascades.\nWe will describe how results can be used to prove this dyadic model is consistent with\nKolmogorov’s theory and Onsager’s conjecture. \nAspects of the work are joint with Alexey Cheskidov\, Nathan Glatt-Holtz\, Roman Shvydkoy\, and Vlad Vicol.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-susan-friedlander-usc/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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