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SUMMARY:Uniqueness of the solution to the 2D Vlasov-Navier-Stokes system -
  Ayman Moussa\, Sorbonne Université (Paris)
DTSTART:20181119T150000Z
DTEND:20181119T160000Z
UID:TALK109633@talks.cam.ac.uk
CONTACT:Ivan Moyano
DESCRIPTION:We prove a  uniqueness result  for  weak  solutions  to the Vl
 asov-Navier-Stokes system in two dimensions\, both in the whole space and 
 in the periodic case\, under a  mild  decay  condition  on  the  initial  
 distribution  function\n. The  main  result  is achieved by combining meth
 ods from optimal  transportation (introduced in this\ncontext by G. Loeper
 ) with the use of Hardy’s maximal function\, in order to obtain some fin
 e Wasserstein-like estimates for the difference of two solutions of the Vl
 asov equation. This is joint work with D. Han-Kwan\, E. Miot and I. Moyano
 .
LOCATION:CMS\, MR13
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