4 citations · 12 across the 9 of their papers we have counts for
9 papers · 1 filter
Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment
McKenzie Black, Changhui Tan
We consider the compressible Euler system with a family of nonlinear velocity alignments. The system is a nonlinear extension of the Euler-alignment system in collective dynamics.…
Sharp critical thresholds for a class of nonlocal traffic flow models
Thomas Hamori, Changhui Tan
We study a class of traffic flow models with nonlocal look-ahead interactions. The global regularity of solutions depend on the initial data. We obtain sharp critical threshold con…
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…