Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:190

Article

Alì, G ; Jüngel, A

关键词: hydrodynamic model;    global existence of smooth solutions;    exponential stability of steady states;    long-time behavior of solutions;    plasmas;    thermodynamical energy;   

DOI  :  10.1016/S0022-0396(02)00157-2

来源: Elsevier

【 摘 要 】

The existence of global smooth solutions to the multi-dimensional hydrodynamic model for plasmas of electrons and positively charged ions is shown under the assumption that the initial densities are close to a constant. The model consists of the conservation laws for the particle densities and the current densities, coupled to the Poisson equation for the electrostatic potential. Furthermore, it is proved that the particle densities converge exponentially fast to the (constant) steady state. The proof uses a higher-order energy method inspired from extended thermodynamics. (C) 2002 Elsevier Science (USA). All rights reserved.

【 授权许可】

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