Name
Title | ||
|---|---|---|
Asymptotic Convergence to Stationary Waves for Unipolar Hydrodynamic Model of Semiconductors |
Abstract | ||
|---|---|---|
In this paper, we study the one-dimensional unipolar hydrodynamic model for semiconductors in the form of Euler-Poisson equations. In the case when the state constants on the current density and the electric field are nonzero (switch-on case), the stability of stationary waves of one-dimensional isentropic Euler-Poisson equations for the unipolar hydrodynamic model has been open. In order to overcome this difficulty, we first analyze the behaviors of the solutions at x = +/-infinity, and observe what are the exact gaps between the original solutions and the stationary solutions in L-2-space; then we technically construct some new correction functions to delete these gaps. Finally, based on the energy methods, we prove that the solutions of one-dimensional isentropic Euler-Poisson equations for the unipolar hydrodynamic model decay exponentially fast to the stationary solutions. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1137/100793025 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
Euler-Poisson,unipolar hydrodynamic model,semiconductor,nonlinear damping,asymptotic behavior,convergence rates | Statistical physics,Current density,Isentropic process,Convergence (routing),Mathematical optimization,Electric field,Mathematical analysis,Standing wave,Asymptotic analysis,Semiconductor,Physics | Journal |
Volume | Issue | ISSN |
43 | 1 | 0036-1410 |
Citations | PageRank | References |
2 | 0.74 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Feimin Huang | 1 | 11 | 7.68 |
| Ming Mei | 2 | 17 | 6.53 |
| Yong Wang | 3 | 7 | 3.48 |
| Huimin Yu | 4 | 2 | 1.08 |