2 citations · 2 across the 1 of their papers we have counts for
2 papers
math.PR2022★ 2 cited
Derivation of the fractional porous medium equation from a microscopic dynamics
Pedro Cardoso, Renato De Paula, Patrícia Gonçalves
In this article we derive the fractional porous medium equation for any power of the fractional Laplacian as the hydrodynamic limit of a microscopic dynamics of random particles wi…
math.AP2021
Energy estimates and convergence of weak solutions of the porous medium equation
Renato De Paula, Patrícia Gonçalves, Adriana Neumann
We study the convergence of the weak solution of the porous medium equation with a type of Robin boundary conditions, by tuning a parameter either to zero or to infinity. The conve…