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SUMMARY:Dimensional reduction of a multiscale model based on long time asy
mptotics
DTSTART;VALUE=DATE-TIME:20160616T101500Z
DTEND;VALUE=DATE-TIME:20160616T105000Z
DTSTAMP;VALUE=DATE-TIME:20200704T155830Z
UID:indico-contribution-2965@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marie Postel (Laboratoire Jacques-Louis Lions)\nDepe
nding on their velocity field\, some models lead to moment equations that
enable one to compute monokinetic solutions economically. We detail the ex
ample of a multiscale structured cell population model\, consisting of a s
ystem of 2D transport equations. The reduced model\, a system of 1D transp
ort equations\, is obtained by computing the moments of the 2D model with
respect to one variable. The 1D solution is defined from the solution of t
he 2D model starting from an initial condition that is a Dirac mass in the
direction removed by reduction. Long time properties of the 1D model solu
tion are obtained in connection with properties of the support of the 2D s
olution for general case initial conditions. Finite volume numerical appro
ximations of the 1D reduced model can be used to compute the moments of th
e 2D solution with proper accuracy. The numerical robustness is studied in
the scalar case\, and a full scale vector case is presented.\n\nhttps://i
ndico.math.cnrs.fr/event/939/contributions/2965/
LOCATION: Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/939/contributions/2965/
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