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1.
The existence and semiclassical limit of the solution to one-dimensional transient quantum drift-diffusion model in semiconductor
simulation are discussed. Besides the proof of existence of the weak solution, it is also obtained that the semiclassical
limit of this solution solves the classical drift-diffusion model. The key estimates rest on the entropy inequalities derived
from separation of quantum quasi-Fermi level. 相似文献
2.
Existence of global weak solutions for Navier‐Stokes‐Poisson equations with quantum effect and convergence to incompressible Navier‐Stokes equations
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In this paper, we consider a three dimensional quantum Navier‐Stokes‐Poisson equations. Existence of global weak solutions is obtained, and convergence toward the classical solution of the incompressible Navier‐Stokes equation is rigorously proven for well prepared initial data. Furthermore, the associated convergence rates are also obtained. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
3.
The Semiclassical Limit in the Quantum Drift-Diffusion Equations with Isentropic Pressure 总被引:3,自引:1,他引:2
The semiclassical limit in the transient quantum drift-diffusion equations with isentropic pressure in one space dimension is rigorously proved. The equations are supplemented with homogeneous Neumann boundary conditions. It is shown that the semiclassical limit of this solution solves the classical drift-diffusion model. In the meanwhile, the global existence of weak solutions is proved. 相似文献
4.
The low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data is rigorously justified in the whole space R3. First, the uniform-in-Mach-number estimates of the solutions in a Sobolev space are established on a finite time interval independent of the Mach number. Then the low Mach number limit is proved by combining these uniform estimate with a theorem due to Métivier and Schochet (2001) [45] for the Euler equations that gives the local energy decay of the acoustic wave equations. 相似文献
5.
Changsheng Dou Song Jiang Qiangchang Ju 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2013,64(6):1661-1678
We study the compressible magnetohydrodynamic equations in a bounded smooth domain in ${{\mathbb{R}}^2}$ with perfectly conducting boundary, and prove the global existence and uniqueness of smooth solutions around a rest state. Moreover, the low Mach limit of the solutions is verified for all time, provided that the initial data are well prepared. 相似文献
6.
This paper is concerned with the incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary
conditions. It is rigorously shown that the weak solutions of the compressible magnetohydrodynamic equations converge to the
strong solution of the viscous or inviscid incompressible magnetohydrodynamic equations as long as the latter exists both
for the well-prepared initial data and general initial data. Furthermore, the convergence rates are also obtained in the case
of the well-prepared initial data. 相似文献
7.
在一维空间中分析带有Dirichlet边界条件的半导体简化能量输运稳态方程组,在某些条件下证明了其古典解的存在性.证明基于对电子密度的漂移扩散型方程的仔细变形和Schauder不动点定理. 相似文献
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The quasineutral limit of the two-fluid Euler–Poisson system (one for ions and another for electrons) in a bounded domain of is rigorously proved by investigating the existence and the stability of boundary layers. The non-penetration boundary condition for velocities and Dirichlet boundary condition for electric potential are considered. 相似文献