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DTSTART:19810329T020000
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BEGIN:VEVENT
UID:news2037@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20260508T151421
DTSTART;TZID=Europe/Zurich:20260522T171500
SUMMARY:BZ Seminar in Analysis: Keefer Rowan (EPFL)
DESCRIPTION:The Obukhov--Corrsin spectrum predicts the distribution of Four
 ier mass for a passive scalar field advected by a "turbulent" velocity fie
 ld with spatial regularity C^\\alpha_x for \\alpha \\in (0\,1) and subject
  to a time-stationary forcing. We prove the Obukhov--Corrsin spectrum hold
 s after summing over geometric annuli in Fourier space -- up to logarithmi
 c corrections -- as a consequence of a sharp anomalous regularization resu
 lt. We then prove this anomalous regularization for a broad class of Kraic
 hnan-type models. The proof of anomalous regularization relies on a Fourie
 r space \\ell^p energy equality and a weighted lattice Poincaré inequalit
 y.
X-ALT-DESC:<p>The Obukhov--Corrsin spectrum predicts the distribution of Fo
 urier mass for a passive scalar field advected by a "turbulent" velocity f
 ield with spatial regularity C^\\alpha_x for \\alpha \\in (0\,1) and subje
 ct to a time-stationary forcing. We prove the Obukhov--Corrsin spectrum ho
 lds after summing over geometric annuli in Fourier space -- up to logarith
 mic corrections -- as a consequence of a sharp anomalous regularization re
 sult. We then prove this anomalous regularization for a broad class of Kra
 ichnan-type models. The proof of anomalous regularization relies on a Four
 ier space \\ell^p energy equality and a weighted lattice Poincaré inequal
 ity.</p>
DTEND;TZID=Europe/Zurich:20260522T181500
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