145 citations · 309 across the 27 of their papers we have counts for
4 papers · 1 filter
Singularity formation for a fluid mechanics model with nonlocal velocity
Changhui Tan
We study a 1D fluid mechanics model with nonlocal velocity. The equation can be viewed as a fractional porous medium flow, a 1D model of the quasi-geostrophic equation, and also a…
Global regularity for 1D Eulerian dynamics with singular interaction forces
Alexander Kiselev, Changhui Tan
The Euler-Poisson-Alignment (EPA) system appears in mathematical biology and is used to model, in a hydrodynamic limit, a set agents interacting through mutual attraction/repulsion…
An asymptotic preserving scheme for kinetic models with singular limit
Alina Chertock, Changhui Tan, Bokai Yan
We propose a new class of asymptotic preserving schemes to solve kinetic equations with mono-kinetic singular limit. The main idea to deal with the singularity is to transform the…
Global regularity for the fractional Euler alignment system
Tam Do, Alexander Kiselev, Lenya Ryzhik +1
We study a pressureless Euler system with a nonlinear density-dependent alignment term, originating in the Cucker-Smale swarming models. The alignment term is dissipative in the se…