Care tutte, cari tutti, la prossima settimana, nell’ambito del ciclo Seminari di Analisi, avremo il piacere di ospitare Giulia Bevilacqua (Università Ca' Foscari, Venezia), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=698ec366dd82ea23a82021df> dal titolo “The incompressible limit in tumor growth models: from Aronson–Bénilan estimate to free boundary regularity.” Il seminario si terrà giovedì 19 febbraio alle ore 17, in Sala Riunioni. Trovate l’abstract qui sotto. A presto, Ilaria ----------------------------------- Dear all, next week, as part of the Analysis Seminar Series, we will have the pleasure of hosting Giulia Bevilacqua (Università Ca' Foscari, Venezia), who will give a seminar<https://www.dm.unipi.it/seminario/?id=698ec366dd82ea23a82021df> entitled “The incompressible limit in tumor growth models: from Aronson–Bénilan estimate to free boundary regularity.” The seminar will take place on Thursday, February 19 at 5 pm, in Sala Riunioni. You will find the abstract below. See you soon, Ilaria ----------------------------------- Speaker: Giulia Bevilacqua (Università Ca' Foscari, Venezia) Title: The incompressible limit in tumor growth models: from Aronson–Bénilan estimate to free boundary regularity Abstract: We discuss recent results on incompressible limits and free boundary problems arising in tumor growth modeling. We first revisit classical bounds for the pressure field in the porous medium equation, extending the Aronson-Bénilan estimate. Then, we focus on the geometric free boundary limit in a specific setting, where the tumor is constrained within a bounded domain, part of which is inaccessible and acts as an obstacle. We investigate the existence of viscosity solutions and analyze the regularity of the associated free boundary. This talk is based on two papers obtained, respectively, in collaboration with B. Perthame (LJLL) & M. Schmidtchen (TUM) and M. Carducci (SNS).