Premium
The asymptotic behaviour of global smooth solutions to the multi‐dimensional hydrodynamic model for semiconductors
Author(s) -
Hsiao Ling,
Ju Qiangchang,
Wang Shu
Publication year - 2003
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.410
Subject(s) - mathematics , stationary solution , initial value problem , cauchy problem , exponential growth , exponential stability , cauchy distribution , semiconductor , mathematical analysis , physics , nonlinear system , quantum mechanics
We establish the global existence of smooth solutions to the Cauchy problem for the multi‐dimensional hydrodynamic model for semiconductors, provided that the initial data are perturbations of a given stationary solutions, and prove that the resulting evolutionary solution converges asymptotically in time to the stationary solution exponentially fast. Copyright © 2003 John Wiley & Sons, Ltd.