2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.AP2026
A Nash stratification inequality and global regularity for a chemotaxis-fluid system on general 2D domains
Alexander Kiselev, Naji A. Sarsam
Incompressible fluid advection has been shown to facilitate singularity suppression in various differential equations, often by mixing-enhanced diffusion or by dimension-reduction…
math.AP2024★ 2 cited
Finite time blow-up in a 1D model of the incompressible porous media equation
Alexander Kiselev, Naji A. Sarsam
We derive a PDE that models the behavior of a boundary layer solution to the incompressible porous media (IPM) equation posed on the 2D periodic half-plane. This 1D IPM model is a…