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math.AP2021★ 1 cited
Convergence rate for the incompressible limit of nonlinear diffusion-advection equations
Noemi David, Tomasz Dębiec, Benoît Perthame
The incompressible limit of nonlinear diffusion equations of porous medium type has attracted a lot of attention in recent years, due to its ability to link the weak formulation of…
math.AP2021
On the Incompressible Limit for a Tumour Growth Model incorporating Convective Effects
Noemi David, Markus Schmidtchen
In this work we study a tissue growth model with applications to tumour growth. The model is based on that of Perthame, Quirós, and Vázquez proposed in 2014 but incorporates the ad…
math.AP2020
Free boundary limit of tumor growth model with nutrient
Noemi David, Benoît Perthame
Both compressible and incompressible porous medium models are used in the literature to describe the mechanical properties of living tissues. These two classes of models can be rel…