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RESEARCH PRODUCT

Stationary semiconductor equations

Pekka NeittaanmäkiMichal Křížek

subject

PhysicsNonlinear systemPartial differential equationElliptic typeMathematical analysisMobile chargeSemiconductor equationsSemiconductor device

description

The behaviour of a semiconductor device is usually modelled by three coupled nonlinear partial differential equations of elliptic type. Such a system for the transport of mobile charge carriers was first introduced by Van Roosbroeck [Van Roosbroeck] in 1950. Nowadays there are many models which differ in their choice of unknowns, scales, various types of nonlinearities etc. (see, e.g., [Brezzi], [Groger], [Markowich], [Markowich, Ringhofer, Schmeiser], [Mock, 1972], [Polak, den Heijer, Schilders, Markowich], [Pospisek], [Pospisek, Segeth, Silhan], [Selberherr], [Sze], [Zlamal, 1986]).

yearjournalcountryeditionlanguage
1996-01-01
https://doi.org/10.1007/978-94-015-8672-6_10