当前位置: X-MOL 学术Nonlinear Anal. Real World Appl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Asymptotic behavior of strong solutions of a simplified energy-transport model with general conductivity
Nonlinear Analysis: Real World Applications ( IF 1.8 ) Pub Date : 2020-11-17 , DOI: 10.1016/j.nonrwa.2020.103261
Yong-Ho Kim , Sungjin Ra , Se-Chol Kim

In this paper we study a simplified transient energy-transport model in semiconductors with a general conductivity and the Dirichlet boundary conditions on an interval. By using a new iterative scheme, we prove the global existence and uniqueness of strong solutions provided that the variation of the temperature is small. Also, the existence and stability of stationary solutions are proved if the temperature is large.



中文翻译:

具有一般电导率的简化能量传输模型的强解的渐近行为

在本文中,我们研究了具有一般电导率和区间上Dirichlet边界条件的半导体中的简化瞬态能量传输模型。通过使用新的迭代方案,我们证明了强解决方案的全局存在性和唯一性,前提是温度的变化很小。同样,如果温度很高,则证明了固定解的存在性和稳定性。

更新日期:2020-11-18
down
wechat
bug