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math.AP2011★ 4 cited
A variational representation of weak solutions for the pressureless Euler-Poisson equations
Eitan Tadmor, Dongming Wei
We derive an explicit formula for global weak solutions of the one dimensional system of pressure-less Euler-Poisson equations. Our variational formulation is an extension of the w…
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.AP2006★ 3 cited
On the global regularity of sub-critical Euler-Poisson equations with pressure
Eitan Tadmor, Dongming Wei
We prove that the one-dimensional Euler-Poisson system driven by the Poisson forcing together with the usual γ-law pressure, γ ≥ 1, admits global solutions for a la…