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Summer School 2024 - Low dimensional Topology
42 videos

Summer School 2024 - Low dimensional Topology

Summer School 2023 - New trends in mathematical fluid dynamics
31 videos

Summer School 2023 - New trends in mathematical fluid dynamics

Emergent phenomena in many-body quantum systems / Phénomènes émergents des systèmes quantiques a plusieurs corps
5 videos

Emergent phenomena in many-body quantum systems / Phénomènes émergents des systèmes quantiques a plusieurs corps

History of mathematics, Philosophy of mathematics, and mathematics: which interactions? / Histoire des mathématiques, Philosophie des mathématiques, et mathématiques: quelles interactions?
4 videos

History of mathematics, Philosophy of mathematics, and mathematics: which interactions? / Histoire des mathématiques, Philosophie des mathématiques, et mathématiques: quelles interactions?

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Summer School 2023 - New trends in mathematical fluid dynamics

Collection Summer School 2023 - New trends in mathematical fluid dynamics

Organizer(s) Scientific Committee: Anne-Laure Dalibard, Isabelle Gallagher and Frédéric Rousset / Organizing Committee: Thierry Gallay, David Gérard-Varet, Christophe Lacave, David Lannes and Evelyne Miot
Date(s) 05/06/2023 - 16/06/2023
linked URL https://if-summer2023.sciencesconf.org/
00:00:00 / 00:00:00
13 31

On the incompressible limit for porous medium models of tumor growth

By Noemi David

Both compressible and incompressible models of porous medium type have been used in the literature to describe the mechanical aspects of living tissues. Using a stiff pressure law, it is possible to bridge the gap between these two different representations. In the incompressible limit, density-based models generate free boundary problems of Hele-Shaw type where saturation holds in the moving domain. I will present some results for advection-porous medium equations motivated by tumor growth. The main novelty consists in establishing the limit pressure equation for which it is crucial to prove the strong compactness of the pressure gradient. Then, I will discuss the convergence rate of solutions of the compressible model to solutions of the Hele-Shaw problem.

Information about the video

  • Date of recording 08/06/2023
  • Date of publication 09/12/2025
  • Institution Institut Fourier
  • Licence CC BY NC ND
  • Language English
  • Format MP4

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