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math.AP2026
Boundary layers and vanishing diffusivity in run-and-tumble models
Dallas Albritton, Laurel Ohm, Timur Yastrzhembskiy
A notable feature of confined active matter systems is the tendency for motile particles to accumulate near solid boundaries. In various linear models with no-flux boundary conditi…
math.AP2026
Forward self-similar solutions to the 2D Navier--Stokes equations
Dallas Albritton, Julien Guillod, Mikhail Korobkov +1
We construct self-similar solutions to the 2D Navier--Stokes equations evolving from arbitrarily large --homogeneous initial data and present numerical evidence for their non-u…