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SUMMARY:On the incompressible limit for tumour growth models including con
 vective effects - Noemi David (Sorbonne Université\, Università di Bolog
 na)
DTSTART:20220511T120000Z
DTEND:20220511T130000Z
UID:TALK174002@talks.cam.ac.uk
DESCRIPTION:Both compressible and incompressible porous medium models are 
 used in the literature to describe the mechanical properties of living tis
 sues. These two classes of models can be related using a stiff pressure la
 w. In the incompressible (or stiff) limit\, compressible models generate f
 ree-boundary problems of Hele-Shaw type. In this talk\, I will present the
  stiff limit of a model including the advective effects caused\, for insta
 nce\, by the presence of nutrients or attractive chemicals. The convergenc
 e rate is then computed in a negative Sobolev norm.
LOCATION:Seminar Room 2\, Newton Institute
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