249 citations · 684 across the 32 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
math.AP2021
On the dynamics of the roots of polynomials under differentiation
Thomas Alazard, Omar Lazar, Quoc-Hung Nguyen
This article is devoted to the study of a nonlinear and nonlocal parabolic equation introduced by Stefan Steinerberger to study the roots of polynomials under differentiation; it a…
math.AP2021
Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem
Thomas Alazard, Quoc-Hung Nguyen
We exhibit a new decomposition of the nonlinearity for the Muskat equation and use it to commute Fourier multipliers with the equation. This allows to study solutions with critical…