Stability of the stationary solution of the Cauchy problem to a semiconductor full hydrodynamic model with recombination-generation rate. (English) Zbl 1332.35035
Summary: We study the Cauchy problem of a 1-D full hydrodynamic model for semiconductors where the energy equations are included. In the case of recombination-generation effects between electrons and holes being taken into consideration, the existence and uniqueness of a subsonic stationary solution of the related system are established. The convergence of the global smooth solution to the stationary solution exponentially is proved as time tends to infinity.
MSC:
| 35B35 | Stability in context of PDEs |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 82D37 | Statistical mechanics of semiconductors |
References:
| [1] | C. Zhu, Stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species,, J. Differential Equations, 166, 1 (2000) · Zbl 0974.35123 · doi:10.1006/jdeq.2000.3799 |
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