@article{10902/29548,
year = {2020},
url = {https://hdl.handle.net/10902/29548},
abstract = {In this work we study the nonlocal transport equation derived recently by Steinerberger when studying how the distribution of roots of a polynomial behaves under iterated differentation of the function. In particular, we study the well-posedness of the equation, establish some qualitative properties of the solution and give conditions ensuring the global existence of both weak and strong solutions. Finally, we present a link between the equation obtained by Steinerberger and a one-dimensional model of the surface quasi-geostrophic equation used by Chae, Córdoba, Córdoba & Fontelos.},
organization = {R. G-B has been funded by the grant MTM2017-89976-P from the Spanish government.},
publisher = {International Press},
publisher = {Communications in Mathematical Sciences, 2020, 18(6), 1643-1660},
title = {On a nonlocal differential equation describing roots of polynomials under differentiation},
author = {Granero Belinchón, Rafael},
}