145 citations · 167 across the 3 of their papers we have counts for
3 papers
math.AP2016★ 14 cited
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…
math.AP2014★ 8 cited
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…
math.AP2014★ 145 cited
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…