In this paper, we study the n-dimensional (n\geq1) bipolar hydrodynamic model for
semiconductors in the form of Euler–Poisson equations. In the 1-D case, when the difference …

In this paper, we study the one-dimensional unipolar hydrodynamic model for
semiconductors in the form of Euler–Poisson equations. In the case when the state …

For a bipolar hydrodynamic model of semiconductors in the form of Euler–Poisson
equations with Dirichlet or Neumann boundary conditions, in this paper we first heuristically …

In this study, we consider the high dimensional unipolar hydrodynamic model for
semiconductors in the form of Euler–Poisson equations. Based on the results that we have …

In this paper we study the Cauchy problem for 1-D Euler–Poisson system, which represents
a physically relevant hydrodynamic model but also a challenging case for a bipolar …

In this paper, the global existence of smooth solutions for the three-dimensional bipolar
hydrodynamic model is studied when the initial data are close to a constant state. The L2 …

In this paper, we study the one-dimensional Euler–Poisson equations of bipolar
hydrodynamic model for semiconductor device with time-dependent damping effect− J (1+ t) …

Abstract In our previous work [17], it is shown that any L∞ weak entropy solution of damped
compressible Euler equation converges to the Barrenblatt's solution with finite mass in L 1 …

We shall investigate the asymptotic behavior of solutions to the Cauchy problem for the three-
dimensional quantum Navier–Stokes–Poisson system. We first establish the stationary …

An asymptotic preserving (AP) and energy stable scheme for the Euler-Poisson (EP) system
under the quasineutral scaling is designed and analysed. Appropriate stabilisation terms are …