The asymptotic behaviour of global smooth solutions to the multi‐dimensional hydrodynamic model for semiconductors | Zendy

Hsiao Ling | Zendy; Ju Qiangchang | Zendy; Wang Shu | Zendy

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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.

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