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SUMMARY:Luis Silvestre (University of Chicago)
DTSTART:20200611T150000Z
DTEND:20200611T155000Z
DTSTAMP:20260423T035721Z
UID:IMS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/27/">Reg
 ularity estimates for the Boltzmann equation without cutoff</a>\nby Luis S
 ilvestre (University of Chicago) as part of PDE seminar via Zoom\n\n\nAbst
 ract\nWe study the regularization effect of the inhomogeneous Boltzmann eq
 uation without cutoff. We obtain a priori estimates for all derivatives of
  the solution depending only on bounds of the hydrodynamic quantities: mas
 s density\, energy density and entropy density. As a consequence\, a class
 ical solution to the equation may fail to exists after certain time T only
  if at least one of these hydrodynamic quantities blows up. Our analysis a
 pplies to the case of moderately soft and hard potentials. We use methods 
 that originated in the study of nonlocal elliptic equations: a weak Harnac
 k inequality in the style of De Giorgi\, and a Schauder-type estimate.\n\n
 Here is the poster of this talk: www.dropbox.com/s/gxyo8whzqnvco3h/The%201
 0th%20PDE%20Seminar.png?dl=0\n\nPlease visit our website to get more infor
 mation: nguyenquochung1241.wixsite.com/qhung/post/pde-seminar-via-zoom\n
LOCATION:https://researchseminars.org/talk/IMS/27/
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