Relaxation-time limits of global solutions in full quantum hydrodynamic model for semiconductors

S Ra, H Hong - Applications of Mathematics, 2024 - Springer
This paper is concerned with the global well-posedness and relaxation-time limits for the
solutions in the full quantum hydrodynamic model, which can be used to analyze the thermal …

Initial time layer problem for quantum drift-diffusion model

X Chen, L Chen - Journal of mathematical analysis and applications, 2008 - Elsevier
Initial time layer problem for quantum drift-diffusion model Page 1 J. Math. Anal. Appl. 343 (2008)
64–80 www.elsevier.com/locate/jmaa Initial time layer problem for quantum drift-diffusion …

Existence theorems for the quantum drift–diffusion equations with mixed boundary conditions

X Xu - Communications in Contemporary Mathematics, 2016 - World Scientific
In this paper, we construct a weak solution to the unipolar quantum drift–diffusion equations
coupled with initial and mixed boundary conditions in up to four space dimensions. We only …

Existence and semiclassical limit for the quantum drift-diffusion model

X Xu - Annali di Matematica Pura ed Applicata, 2014 - Springer
In this paper, we construct a weak solution to the unipolar quantum drift-diffusion model in a
bounded domain with Neumann boundary conditions, thereby extending an existence result …

[HTML][HTML] Classical solutions to the one-dimensional stationary quantum drift–diffusion model

J Dong - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
The existence of classical solutions to the one-dimensional stationary quantum drift–
diffusion model for semiconductor devices is investigated. The proof is based on an …

[PDF][PDF] Solution to a multi-dimensional isentropic quantum drift-diffusion model for bipolar semiconductors

J Ri, S Ra - 2018 - digital.library.txstate.edu
We study the existence of weak solution and semiclassical limit for mixed Dirichlet-Neumann
boundary value problem of 1, 2, 3-dimensional isentropic transient quantum drift-diffusion …

[HTML][HTML] 一维半导体量子能量输运模型稳态解的唯一性

董建伟, 张又林, 程少华 - 数学杂志, 2015 - sxzz.whu.edu.cn
一维半导体量子能量输运模型稳态解的唯一性 数学杂志 2015, Vol. 35 Issue (5): 1245-1251
PDF 扩展功能 加入收藏夹 复制引文信息 加入引用管理器 Email Alert RSS 本文作者相关文章 …

The multidimensional bipolar quantum drift-diffusion model

X Chen, Y Guo - Advanced Nonlinear Studies, 2008 - degruyter.com
We investigate the bipolar quantum drift-diffusion model, a fourth order parabolic system, in
two or there space dimensions. First, we establish the global weak solution with large initial …

[HTML][HTML] On the effects of the Bohm potential on a macroscopic system of self-interacting particles

O Tse - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
We consider a nonstationary macroscopic system of self-interacting particles with an
additional potential, the so called Bohm potential. We study the existence of nonnegative …

A sixth-order parabolic system in semiconductors

X Chen, L Chen, C Sun - Chinese Annals of Mathematics, Series B, 2011 - Springer
Chinese Annals of Mathematics, Series BA Sixth-Order Parabolic System in Semiconductors
Page 1 Chin. Ann. Math. 32B(2), 2011, 265–278 DOI: 10.1007/s11401-011-0632-9 Chinese …