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SUMMARY:Klas Modin (Chalmers and GU)
DTSTART:20240129T121500Z
DTEND:20240129T130000Z
DTSTAMP:20260417T004752Z
UID:cam/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/26/">The
  reversibility paradox in matrix hydrodynamics</a>\nby Klas Modin (Chalmer
 s and GU) as part of CAM seminar\n\nLecture held in MV:L14.\n\nAbstract\nS
 ome time ago\, Milo Viviani and myself unveiled numerical simulations of i
 ncompressible 2-D hydrodynamics on the sphere indicating a connection betw
 een the long-time behavior of 2-D Euler equations and integrability condit
 ions for "blob dynamics". After presenting these results\, I was asked an 
 insightful question:\n\nThe phase space underlying the model in the simula
 tions is compact. Because the dynamics in the model is also Hamiltonian\, 
 we have Poincaré recurrence. But the dynamics in the simulations\, leadin
 g to blob formations\, seem contractive. Isn't the mechanism for blob form
 ations instead induced by fictitious dissipation\, introduced via the nume
 rical time-discretization?\n\nI didn’t have a good answer at the time\, 
 but the question stayed with me. Today I have an answer\, which is the sub
 ject of this talk.\n
LOCATION:https://researchseminars.org/talk/cam/26/
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