3 papers
math.AP2008
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…
math.AP2002
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…
math.AP2001
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…