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math.AP2024
Chemotaxis and Reactions in Anomalous Diffusion Dynamics
Crystianne L. De Andrade, Alexander A. Kiselev
Chemotaxis and reactions are fundamental processes in biology, often intricately intertwined. Chemotaxis, in particular, can be crucial in maintaining and accelerating a reaction.…
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…