Global Smooth Solutions to the Multi-dimensional Hydrodynamic Model for Two-carrier Plasmas
Global Smooth Solutions to the Multi-dimensional Hydrodynamic Model for Two-carrier Plasmas
Date
2002
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Alì, Giuseppe
Jüngel, Ansgar
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Konstanzer Schriften in Mathematik und Informatik; 173
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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.
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004 Computer Science
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ALÌ, Giuseppe, Ansgar JÜNGEL, 2002. Global Smooth Solutions to the Multi-dimensional Hydrodynamic Model for Two-carrier PlasmasBibTex
@unpublished{Ali2002Globa-5994, year={2002}, title={Global Smooth Solutions to the Multi-dimensional Hydrodynamic Model for Two-carrier Plasmas}, author={Alì, Giuseppe and Jüngel, Ansgar} }
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