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 …
solutions in the full quantum hydrodynamic model, which can be used to analyze the thermal …
Quantum semiconductor models
We give an overview of analytic investigations of quantum semiconductor models, where we
focus our attention on two classes of models: quantum drift diffusion models, and quantum …
focus our attention on two classes of models: quantum drift diffusion models, and quantum …
[PDF][PDF] Semiclassical limit in a simplified quantum energy-transport model for semiconductors
The semiclassical limit in a quantum energy-transport model for semiconductors is proved.
The system consists of a nonlinear parabolic fourth-order equation for the electron density …
The system consists of a nonlinear parabolic fourth-order equation for the electron density …
[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 …
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 …
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
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Semiclassical Limit of Quantum Semiconductor Models
H Yan, L Chen - … Problems: Theory, Numerics and Applications (In 2 …, 2012 - World Scientific
In this contributed paper, we first briefly review some macroscopic quantum semiconductor
models and then focus on the semiclassical limit problem of the quantum drift diffusion …
models and then focus on the semiclassical limit problem of the quantum drift diffusion …
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 …
Page 1 Chin. Ann. Math. 32B(2), 2011, 265–278 DOI: 10.1007/s11401-011-0632-9 Chinese …