Abstract
Degond and Markowich discussed the existence and uniqueness of a steady-state solution in the subsonic case for the one-dimensional hydrodynamic model of semiconductors. In the present paper, we reconsider the existence and uniqueness of a globally smooth subsonic steady-state solution, and prove its stability for small perturbation. The proof method we adopt in this paper is based on elementary energy estimates.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 359-378 |
| Number of pages | 20 |
| Journal | Royal Society of Edinburgh - Proceedings A |
| Volume | 132 |
| Issue number | 2 |
| State | Published - Dec 1 2002 |
ASJC Scopus subject areas
- Mathematics(all)