4 citations · 4 across the 2 of their papers we have counts for
2 papers
math.AP2018
On the global solvability of porous media equations with general (spatially dependent) advection terms
N. M. L. Diehl, L. Fabris, P. R. Zingano
We show that advection-diffusion equations with porous media type diffusion and integrable initial data are globally solvable under very mild conditions. Some generalizations and r…
math.AP2017★ 4 cited
Decay Estimates for Solutions of Porous Medium Equations with Advection
Nicolau Matiel Lunardi Diehl, Lucineia Fabris, Juliana Sartori Ziebell
In this paper, we show that bounded weak solutions of the Cauchy problem for general degenerate parabolic equations of the form \begin{equation} \notag u_t \,+\; \mbox{div}\,f(x,t,…