Geodesic
Solutions to a nonlinear drift-diffusion model for semiconductors
Electronic journal of differential equations, Tome 1999 (1999)
A nonlinear drift-diffusion model for semiconductors is analyzed to show the existence of non-vacuum global solutions and stationary solutions. The long time behavior of the solutions is studied by establishing the existence of an absorbing set and a compact attractor of the dynamical system. Parallel results on vacuum solutions are also obtained under weaker conditions on model parameters.
Classification : 35K57, 35K55, 35J60, 78A35
Keywords: drift-diffusion model, semiconductors, nonlinear diffusion, degenerated parabolic and elliptic equations, attractors 
@article{EJDE_1999__1999__a76,
     author = {Fang,  Weifu and Ito,  Kazufumi},
     title = {Solutions to a nonlinear drift-diffusion model for semiconductors},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0921.35081},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a76/}
}
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%A Ito,  Kazufumi
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Fang,  Weifu; Ito,  Kazufumi. Solutions to a nonlinear drift-diffusion model for semiconductors. Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a76/