A note on the long time behavior for the Drift-Diffusion-Poisson system
Ben Abdallah, Naoufel ; Méhats, Florian ; Vauchelet, Nicolas
HAL, hal-00378933 / Harvested from HAL
Text on HAL
In this note we analyze the long time behavior of a drift-diffusion-Poisson system with a symmetric definite positive diffusion matrix, subject to Dirichlet boundary conditions. This system models the transport of electrons in semiconductor or plasma devices. By using a quadratic relative entropy obtained by keeping the lowest order term of the logarithmic relative entropy, we prove the exponential convergence to the equilibrium.
Publié le : 2004-07-05
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00378933,
     author = {Ben Abdallah, Naoufel and M\'ehats, Florian and Vauchelet, Nicolas},
     title = {A note on the long time behavior for the Drift-Diffusion-Poisson system},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00378933}
}

Ben Abdallah, Naoufel; Méhats, Florian; Vauchelet, Nicolas. A note on the long time behavior for the Drift-Diffusion-Poisson system. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00378933/