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UID:news439@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20181219T170101
DTSTART;TZID=Europe/Zurich:20160309T141500
SUMMARY:Seminar Analysis: Christian Zillinger (Universität Bonn)
DESCRIPTION:The Euler equations of fluid dynamics are time-reversible equat
 ions and possess many conserved quantities\, including the kinetic energy 
 and entropy. Furthermore\, as shown by Arnold\, they even have the structu
 re of an infinite-dimensional Hamiltonian system. Despite these facts\, in
  experiments one observes a damping phenomenon for small velocity perturba
 tions to monotone shear flows\, where the perturbations decay with algebra
 ic rates. In this talk\, I discuss the underlying phase-mixing mechanism o
 f linear inviscid damping\, its mathematical challenges and how to establi
 sh decay with optimal rates for a general class of monotone shear flows. H
 ere\, a particular focus will be on the setting of a channel with impermea
 ble walls\, where boundary effects asymptotically result in the formation 
 of singularities. 
X-ALT-DESC:\nThe Euler equations of fluid dynamics are time-reversible equa
 tions and possess many conserved quantities\, including the kinetic energy
  and entropy. Furthermore\, as shown by Arnold\, they even have the struct
 ure of an infinite-dimensional Hamiltonian system. Despite these facts\, i
 n experiments one observes a damping phenomenon for small velocity perturb
 ations to monotone shear flows\, where the perturbations decay with algebr
 aic rates. In this talk\, I discuss the underlying phase-mixing mechanism 
 of linear inviscid damping\, its mathematical challenges and how to establ
 ish decay with optimal rates for a general class of monotone shear flows. 
 Here\, a particular focus will be on the setting of a channel with imperme
 able walls\, where boundary effects asymptotically result in the formation
  of singularities.&nbsp\;
DTEND;TZID=Europe/Zurich:20160309T151500
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