2 papers
math.AP2025
Improved convergence rates for the Hele-Shaw limit in the presence of confining potentials
Noemi David, Alpár R. Mészáros, Filippo Santambrogio
Nowadays a vast literature is available on the Hele-Shaw or incompressible limit for nonlinear degenerate diffusion equations. This problem has attracted a lot of attention due to…
math.AP2024
Uniform regularity estimates for nonlinear diffusion-advection equations in the hard-congestion limit
Noemi David, Filippo Santambrogio, Markus Schmidtchen
We present regularity results for nonlinear drift-diffusion equations of porous medium type (together with their incompressible limit). We relax the assumptions imposed on the drif…