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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:MEchanics GAthering -MEGA- Seminar: Talk1 - How non-normality affe
 cts turbulent trajectories\; Talk2 - Fully nonlinear invariant solutions u
 nderlying patterns of Jupiter’s atmosphere
DTSTART:20181115T161500
DTEND:20181115T173000
DTSTAMP:20260528T062137Z
UID:244279a18945a1975af1d64894ec8b6403ae4248e8d5bdfa7165a2f9
CATEGORIES:Conferences - Seminars
DESCRIPTION:Mirko Farano and Ayse Yesil\, ECPS\, EPFL\nHow non-normalit
 y affects turbulent trajectories by Mirko Farano\, ECPS\, EPFL\nAbstract
  In any dynamical systems\, energy growth is usually associated to the pr
 esence of unstable modes. However\, transient energy growth can also be ob
 served along stable modes. This is due to the non-normality. Non-normality
  is a property of a dynamical system to exhibit energy amplification for a
  short time scale\, although the starting point is a stable equilibrium. T
 his is due to the non-orthogonality of the eigenmodes of the linearized op
 erator around the starting point. Navier-Stokes equations which are the go
 verning equations of the fluid motion belong to this category\, i.e. non s
 elf-adjoint systems. We describe the turbulent flow dynamic using a dynami
 cal system approach. For this system transition to turbulence can also be 
 understood by looking at the most amplified modes. Nevertheless the role o
 f the non-normality has not been extensively investigated in the turbulent
  regime\, where trajectories are believed to walk along dynamical connecti
 ons between equilibria. We investigate the possibility that these connecti
 ons are thus affected by the non-normality\, and diverge from homo/hetero-
 clinic connections which are currently believed to lead the dynamics.\n\nF
 ully nonlinear invariant solutions underlying patterns of Jupiter’s atmo
 sphere by Ayse Yesil\, ECPS\, EPFL\nAbstract As far as we know\, Jupit
 er has always had belts on its atmosphere. They have been there since we f
 irst looked up in the sky with our telescopes. However\, it is still a mys
 tery how these long living structures emerged under the tremendously turbu
 lent atmospheric conditions of the gas giant. With a nonlinear mathematica
 l model\, whose main assumption is supported by NASA’s current mission J
 uno\, I am searching for the possible mechanisms that underly the formatio
 n of these coherent structures. Particularly\, I will discuss the time-inv
 ariant solutions of the Busse’s annulus equations in the parameter regim
 e where the system is capable of supporting multiple belt structures.
LOCATION:MED 2 2423 https://plan.epfl.ch/?room=MED22423
STATUS:CONFIRMED
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