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math.AP2025
Sharp uniform-in-diffusivity mixing rates for passive scalars in parallel shear flows
Dallas Albritton, Rajendra Beekie
We consider the advection-diffusion equation describing the evolution of a passive scalar in a background shear flow. We prove the optimal uniform-in-diffusivity mixing rate $\| f…
math.AP2025
Vanishing viscosity non-unique solutions to the forced 2D Euler Equations
Dallas Albritton, Maria Colombo, Giulia Mescolini
The forced 2D Euler equations exhibit non-unique solutions with vorticity in , , whereas the corresponding Navier-Stokes solutions are unique. We investigate whether th…
math.AP2025
Rods in flows: the PDE theory of immersed elastic filaments
Dallas Albritton, Laurel Ohm
We investigate a family of curve evolution equations approximating the motion of a Kirchhoff rod immersed in a low Reynolds number fluid. The rod is modeled as a framed curve whose…