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SUMMARY:An asymptotic preserving scheme for a kinetic equation describing 
 propagation phenomena - Hélène Hivert (ENS Lyon)
DTSTART:20170213T150000Z
DTEND:20170213T160000Z
UID:TALK69537@talks.cam.ac.uk
CONTACT:Ariane Trescases
DESCRIPTION:The run-and-tumble motion of bacteria such as E. Coli can be r
 epresented by a kinetic equation considered with an hyperbolic scaling\, a
 nd a Hopf-Cole transformation that makes the problem become non-linear. It
  has been proved that the asymptotic model is a Hamilton-Jacobi equation\,
  in which the Hamiltonian is implicitely defined.\nStiff terms appear in t
 he kinetic equation when getting close to the asymptotic. From a numerical
  point of view\, it may make the resolution of the equation hard\, unless 
 an appropriate strategy is used. Asymptotic Preserving (AP) schemes are de
 signed to deal with these difficulties\, since they are stable along the t
 ransition from the mesoscopic to the macroscopic scale.\nI will present an
  AP scheme for this nonlinear kinetic equation\, which is based on a forma
 l asymptotic analysis of the problem\, and on a adaptation of an AP strate
 gy designed for a linear kinetic equation.
LOCATION:CMS\, MR13
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