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SUMMARY:Benoit Perthame (Sorbonne University\, France)
DTSTART:20200702T153000Z
DTEND:20200702T163000Z
DTSTAMP:20260423T053016Z
UID:SIAM-PDE/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SIAM-PDE/2/"
 >Multiphase models  of  living tissues  and the Hele-Shaw limit</a>\nby Be
 noit Perthame (Sorbonne University\, France) as part of Seminar In the Ana
 lysis and Methods of PDE (SIAM PDE)\n\n\nAbstract\nThe mechanical modeling
   of living tissues has attracted much attention in the last decade. Appli
 cations include tissue repair  and growth models of solid tumors. These mo
 dels contain several levels of complexity\, both in terms of the biologica
 l and mechanical effects\, and therefore in their mathematical description
 . Multiphase models describe the dynamics of several types of cells\, liqu
 id\, fibers (extra-cellular matrix) and both compressible and incompressib
 le models are used in the literature.\n\nIn this talk I shall discuss the 
 analysis of multiphase models based on Darcy's assumption. The compactness
  issue leads us to use Aronson-Benilan estimate and to build new variants.
  I shall also discuss the incompressible limit in special cases and the  a
 ssociated free boundary problem.\n
LOCATION:https://researchseminars.org/talk/SIAM-PDE/2/
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