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.

4. Noemi David, Matt Jacobs, Inwon Kim. On the singular limit of Brinkman's law to Darcy's law.  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