arrow
Volume 29, Issue 1
Asymptotic Behavior of the Solution to a 3-D Simplified Energy-Transport Model for Semiconductors

Chundi Liu, Yong Li & Shu Wang

J. Part. Diff. Eq., 29 (2016), pp. 71-88.

Published online: 2016-03

Export citation
  • Abstract
The well-posedness of smooth solution to a 3-Dsimplified Energy-Transport model is discussed in this paper. We prove the local existence, uniqueness, and asymptotic behavior of solution to the equations with hybrid cross-diffusion. The smooth solution convergences to a stationary solution with an exponential rate as time tends to infinity when the initial date is a small perturbation of the stationary solution.
  • AMS Subject Headings

42C40, 42C15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

liu_chundi@emails.bjut.edu.cn (Chundi Liu)

yli@bjut.edu.cn (Yong Li)

wangshu@bjut.edu.cn (Shu Wang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-29-71, author = {Liu , ChundiLi , Yong and Wang , Shu}, title = {Asymptotic Behavior of the Solution to a 3-D Simplified Energy-Transport Model for Semiconductors}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {1}, pages = {71--88}, abstract = { The well-posedness of smooth solution to a 3-Dsimplified Energy-Transport model is discussed in this paper. We prove the local existence, uniqueness, and asymptotic behavior of solution to the equations with hybrid cross-diffusion. The smooth solution convergences to a stationary solution with an exponential rate as time tends to infinity when the initial date is a small perturbation of the stationary solution.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n1.7}, url = {http://global-sci.org/intro/article_detail/jpde/5080.html} }
TY - JOUR T1 - Asymptotic Behavior of the Solution to a 3-D Simplified Energy-Transport Model for Semiconductors AU - Liu , Chundi AU - Li , Yong AU - Wang , Shu JO - Journal of Partial Differential Equations VL - 1 SP - 71 EP - 88 PY - 2016 DA - 2016/03 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n1.7 UR - https://global-sci.org/intro/article_detail/jpde/5080.html KW - Energy-Transport model KW - Gagliardo-Nirenberg inequality KW - asymptotic behavior AB - The well-posedness of smooth solution to a 3-Dsimplified Energy-Transport model is discussed in this paper. We prove the local existence, uniqueness, and asymptotic behavior of solution to the equations with hybrid cross-diffusion. The smooth solution convergences to a stationary solution with an exponential rate as time tends to infinity when the initial date is a small perturbation of the stationary solution.
ChundiLiu, Yong Li & Shu Wang. (2019). Asymptotic Behavior of the Solution to a 3-D Simplified Energy-Transport Model for Semiconductors. Journal of Partial Differential Equations. 29 (1). 71-88. doi:10.4208/jpde.v29.n1.7
Copy to clipboard
The citation has been copied to your clipboard