scholarly journals Asymptotic stability of stationary solutions to the drift-diffusion model in the whole space

2012 ◽  
Vol 18 (4) ◽  
pp. 1097-1121 ◽  
Author(s):  
Ryo Kobayashi ◽  
Masakazu Yamamoto ◽  
Shuichi Kawashima
2001 ◽  
Vol 11 (05) ◽  
pp. 827-840 ◽  
Author(s):  
WEIFU FANG ◽  
KAZUFUMI ITO

We analyze a mathematical model for semiconductors derived from the hydrodynamic model under the massless assumption. This model augments the classical drift-diffusion model by including temperature as a dependent variable. We establish the existence of stationary solutions near the equilibrium state.


2009 ◽  
Vol 32 (6) ◽  
pp. 640-652 ◽  
Author(s):  
Ryo Kobayashi ◽  
Masaki Kurokiba ◽  
Shuichi Kawashima

2015 ◽  
Vol 122 (2) ◽  
pp. 312-336 ◽  
Author(s):  
Brandon M. Turner ◽  
Leendert van Maanen ◽  
Birte U. Forstmann

2014 ◽  
Vol 116 (19) ◽  
pp. 194504 ◽  
Author(s):  
Matthew P. Lumb ◽  
Myles A. Steiner ◽  
John F. Geisz ◽  
Robert J. Walters

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