Title of article
Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas
Author/Authors
Giuseppe Al?، نويسنده , , ANSGAR JUNGEL، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
23
From page
663
To page
685
Abstract
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.
Keywords
Thermodynamical energy , plasmas , hydrodynamic model , Global existence of smooth solutions , Exponential stability of steadystates , Long-time behavior of solutions
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2003
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
750449
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