145 citations · 167 across the 7 of their papers we have counts for
4 papers · 1 filter
Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment
Xiang Bai, Qianyun Miao, Changhui Tan +1
In this paper, we study the Cauchy problem of the compressible Euler system with strongly singular velocity alignment. We prove the existence and uniqueness of global solutions in…
Finite time blow up in the hyperbolic Boussinesq system
Alexander Kiselev, Changhui Tan
In recent work of Luo and Hou, a new scenario for finite time blow up in solutions of 3D Euler equation has been proposed. The scenario involves a ring of hyperbolic points of the…
Critical thresholds in 1D Euler equations with nonlocal forces
José A. Carrillo, Young-Pil Choi, Eitan Tadmor +1
We study the critical thresholds for the compressible pressureless Euler equations with pairwise attractive or repulsive interaction forces and non-local alignment forces in veloci…
Critical thresholds in flocking hydrodynamics\\with nonlocal alignment
Eitan Tadmor, Changhui Tan
We study the large-time behavior of Eulerian systems augmented with non-local alignment. Such systems arise as hydrodynamic descriptions of agent-based models for self-organized dy…