145 citations · 309 across the 27 of their papers we have counts for
4 papers · 2 filters
The Flow of Polynomial Roots Under Differentiation
Alexander Kiselev, Changhui Tan
The question about the behavior of gaps between zeros of polynomials under differentiation is classical and goes back to Marcel Riesz. In this paper, we analyze a nonlocal nonlinea…
Eulerian dynamics in multi-dimensions with radial symmetry
Changhui Tan
We study the global wellposedness of pressure-less Eulerian dynamics in multi-dimensions, with radially symmetric data. Compared with the 1D system, a major difference in multi-dim…
On the global classical solution to compressible Euler system with singular velocity alignment
Li Chen, Changhui Tan, Lining Tong
We consider a compressible Euler system with singular velocity alignment, known as the Euler-alignment system, describing the flocking behaviors of large animal groups. We establis…
Global regularity for a 1D Euler-alignment system with misalignment
Qianyun Miao, Changhui Tan, Liutang Xue
We study one-dimensional Eulerian dynamics with nonlocal alignment interactions, featuring strong short-range alignment, and long-range misalignment. Compared with the well-studied…