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UID:5826@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20221213T110000
DTEND;TZID=Europe/Paris:20221213T120000
DTSTAMP:20241120T200228Z
URL:https://www.i2m.univ-amu.fr/evenements/seminaire-analyse-appliquee-noe
 mi-david-tba/
SUMMARY:Noemi David (Laboratoire Jacques-Louis Lions\, Sorbonne Université
 ): Incompressible limit and rate of convergence for tumor growth models wi
 th drift
DESCRIPTION:Noemi David: Both compressible and incompressible porous medium
  models have been used in the literature to describe the mechanical aspect
 s of living tissues. Using a stiff pressure law\, it is possible to build 
 a link between these two different representations. In the incompressible 
 limit\, compressible models generate free boundary problems of Hele-Shaw t
 ype where saturation holds in the moving domain. In this talk\, I will pre
 sent the study of the incompressible limit for advection-porous medium equ
 ations motivated by tumor development. The derivation of the pressure equa
 tion in the stiff limit was an open problem for which the strong compactne
 ss of the pressure gradient is needed. To establish it\, we use two new id
 eas: an L3 -version of the celebrated Aronson-Bénilan estimate and a shar
 p uniform L4 -bound on the pressure gradient. Moreover\, we provide an est
 imate of the convergence rate at the incompressible limit in a Sobolev neg
 ative norm.\n\nhttps://hyperbo2022.sciencesconf.org/
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/09/Noemi_David.png
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=39 Rue Joliot Curie\, 13013
  Marseille\, France\, Campus Château-Gombert\, ;X-APPLE-RADIUS=100;X-TITL
 E=I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage):geo:0,
 0
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DTSTART:20221030T020000
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