Convergence to stationary states of solutions of the transient drift diffusion equations for semiconductor devices with prescribed currents

Article type: Research Article

Authors: Jochmann, Frank

Affiliations: Mathematisch‐naturwissenschaftliche Fakultät II, Humboldt Universität Berlin, Unter den Linden 6, 10099 Berlin, Germany

Abstract: The transient drift diffusion equations describing the charge transport in semiconductors coupled with Maxwell’s equations are considered. The asymptotic behavior of the solutions is investigated. In particular it is shown that they converge for t\rightarrow\infty to solutions of the stationary drift diffusion equations provided that the currents corresponding to the stationary states are sufficiently small.

Keywords: Drift diffusion equations, Maxwell’s equations, global boundedness, asymptotic behavior

Journal: Asymptotic Analysis, vol. 18, no. 1-2, pp. 67-109, 1998