4 citations · 10 across the 11 of their papers we have counts for
5 papers · 1 filter
On geometric estimates for some problems arising from modeling pull-in voltage in MEMS
Durvudkhan Suragan, Dongming Wei
In this paper for all we prove that the pull-in voltage of the -MEMS (micro-electro mechanical systems) problems on a smooth bounded domain of is…
On the solvability of the Brinkman-Forchheimer-extended Darcy equation
Piotr Skrzypacz, Dongming Wei
The nonlinear Brinkman-Forchheimer-extended Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. The results concerning the existence an…
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…
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…
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…