4 citations · 4 across the 3 of their papers we have counts for
5 papers · 1 filter
Global Regularity of the 4D Restricted Euler Equations
Hailiang Liu, Eitan Tadmor, Dongming Wei
We are concerned with the critical threshold phenomena in the Restricted Euler (RE) equations. Using the spectral and trace dynamics we identify the critical thresholds for 3D and…
From particle to kinetic and hydrodynamic descriptions of flocking
Seung-Yeal Ha, Eitan Tadmor
We discuss the Cucker-Smale's (C-S) particle model for flocking, deriving precise conditions for flocking to occur when pairwise interactions are sufficiently strong long range. We…
Long time existence of smooth solutions for the rapidly rotating shallow-water and Euler equations
Bin Cheng, Eitan Tadmor
We study the stabilizing effect of rotational forcing in the nonlinear setting of two-dimensional shallow-water and more general models of compressible Euler equations. In [H. Liu…
Critical Thresholds in 2D Restricted Euler-Poisson Equations
Hailiang Liu, Eitan Tadmor
We provide a complete description of the critical threshold phenomena for the two-dimensional localized Euler-Poisson equations, introduced by the authors in [Liu & Tadmor, Comm. M…
Critical Thresholds in Euler-Poisson Equations
Shlomo Engelberg, Hailiang Liu, Eitan Tadmor
We present a preliminary study of a new phenomena associated with the Euler-Poisson equations -- the so called critical threshold phenomena, where the answer to questions of global…