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- W2902159469 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, Cordoba, Cordoba and Fontelos." @default.
- W2902159469 created "2018-12-11" @default.
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- W2902159469 date "2018-11-30" @default.
- W2902159469 modified "2023-09-27" @default.
- W2902159469 title "On a nonlocal differential equation describing roots of polynomials under differentiation" @default.
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