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DTSTAMP:20251028T082420
DTSTART;TZID=America/Detroit:20261112T160000
DTEND;TZID=America/Detroit:20261112T170000
SUMMARY:Lecture / Discussion:2026 Van Eenan Lectures: Ronnie Sircar
DESCRIPTION:TBA
UID:141176-21888406@events.umich.edu
URL:https://events.umich.edu/event/141176
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20261104T142759
DTSTART;TZID=America/Detroit:20261112T160000
DTEND;TZID=America/Detroit:20261112T170000
SUMMARY:Workshop / Seminar:DE Seminar: Wave Turbulence for Oscillator Chains
DESCRIPTION:In this talk\, we discuss the wave turbulence properties of the Fermi-Pasta-Ulam-Tsingou (FPUT) system for coupled harmonic oscillators. While it was initially predicted that the system should exhibit thermalization\, numerical experiments showed quasi-periodic behavior\, giving rise to the so-called ``FPUT paradox\". Here\, we demonstrate thermalization in a weakly nonlinear regime for the $\beta$-FPUT by deriving the kinetic equation. Some notable aspects of the derivation are the time constraints imposed by the 1D nature of the system\, the impact of non-resonant terms in the nonlinearity\, and the need for a time-dependent phase renormalization in the system to remove divergent interactions.
UID:154283-21917503@events.umich.edu
URL:https://events.umich.edu/event/154283
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Differential Equations Seminar - Department Of Mathematics,Mathematics
LOCATION:East Hall - 4088
CONTACT:
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