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SUMMARY:Eitan Tadmor (University of Maryland\, College Park)
DTSTART:20210329T134000Z
DTEND:20210329T151000Z
DTSTAMP:20260405T174758Z
UID:NSCM/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/23/">Em
 ergent behavior in swarming hydrodynamics</a>\nby Eitan Tadmor (University
  of Maryland\, College Park) as part of Nečas Seminar on Continuum Mechan
 ics\n\n\nAbstract\nI will discuss recent developments in our study of swar
 ming \ndynamics.\nA main question of interest is the emergent behavior whi
 ch we \ncharacterize by\nspectral analysis\, covering different classes of
  long-range and \nshort-range  communication kernels.\nThese include examp
 les of metric-based and topologically-based kernels\, \nand kernels derive
 d from a unified paradigm of anticipation.\nIn the canonical case of metri
 c-based short-range kernels\, we derive \nlower-bounds on the spectral gap
 \,\nindependent of thermal equilibrium (no closure for the pressure)\, whi
 ch \nyield an emergent behavior of non-vacuous smooth solutions.\nThe latt
 er  are known to exist in one- and two space dimensions and we \nsettle th
 e question of existence for arbitrary dimension.\n
LOCATION:https://researchseminars.org/talk/NSCM/23/
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