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SUMMARY:Tudor Ratiu (EPFL & Shanghai Jiao Tong University - Switzerland an
 d China)
DTSTART:20220121T160000Z
DTEND:20220121T170000Z
DTSTAMP:20260423T041527Z
UID:GEOTOP-A/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEOTOP-A/11/
 ">The Geometry of Fluid Dynamics</a>\nby Tudor Ratiu (EPFL & Shanghai Jiao
  Tong University - Switzerland and China) as part of GEOTOP-A seminar\n\n\
 nAbstract\nFluid motion has a remarkable geometric structure generated by 
 Poisson structures on the Hamiltonian and variational structures on the La
 grangian side. I will briefly review the standard results for ideal incomp
 ressible homogeneous flows and then show how this is extended to fluids wi
 th advected quantities. A much more elaborate extension happens for the Er
 ingen model of liquid crystals because these fluids have internal structur
 e. Then I will introduce a momentum map with values in differential charac
 ters that captures topological information\, something the classical momen
 tum map cannot do. This has consequences in hydrodynamics\, specifically f
 or Clebsch variables\, since it permits to deal with solutions whose helic
 ity is integer valued.\n
LOCATION:https://researchseminars.org/talk/GEOTOP-A/11/
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