Preprints

1. Noemi David, Filippo Santambrogio. New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations. 2023. ⟨hal-04174960⟩ 

2. Noemi David, Alpár R. Mészáros, Filippo Santambrogio.Improved convergence rates for the Hele-Shaw limit in the presence of confining potentials. 2024. arxiv

3.  Noemi David, Filippo Santambrogio, Markus Schmidtchen. Uniform regularity estimates for nonlinear diffusion-advection equations in the hard-congestion limit. 2024. arxiv.

Journal Publications

1. Noemi David and Benoît Perthame. Free boundary limit of a tumor growth model with nutrient. Journal de Mathématiques Pures et Appliquées, 155:62-82, 2021, JMPA

2. Noemi David and Xinran Ruan. An asymptotic preserving scheme for a tumor growth model of porous medium type, ESAIM: Mathematical Modelling and Numerical Analysis, 56:121–150, 2022, ESAIM:M2AN

3. Noemi David and Markus Schmidtchen. On the Incompressible Limit of a Tumour Growth Model with Convective Effects, Published Online first in CPAM, 2022.

4. Noemi David, Tomasz Dębiec and Benoît Perthame. Convergence rate for the incompressible limit of nonlinear diffusion-advection equations, Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 2022, AIHPC

5. Noemi David. Phenotypic heterogeneity in a model of tumor growth: existence of solutions and incompressible limit. 2022, CPDE

6. Giorgia Ciavolella and Noemi David and Alexandre Poulain. Interface conditions for a model of tumour invasion through a membrane, 2021, To Appear in Interfaces and Free Boundaries, arxiv

7. Noemi David, Tomasz Dębiec, Mainak Mandal, Markus Schmidtchen, A degenerate cross-diffusion system as the inviscid limit of a nonlocal tissue growth model. 2023, To Appear in SIMA, arxiv