3 citations · 3 across the 2 of their papers we have counts for
4 papers · 1 filter
Reaction enhancement by flux-limited chemotaxis
Jing An, Alexander Kiselev, Yao Yao
Chemotaxis plays a crucial role in a variety of processes in biology and ecology. Quite often it acts to improve efficiency of biological reactions; one example is the immune syste…
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.…
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…
Diffusion and Mixing in Fluid Flow
P. Constantin, A. Kiselev, L. Ryzhik +1
We study enhancement of diffusive mixing on a compact Riemannian manifold by a fast incompressible flow. Our main result is a sharp description of the class of flows that make the…