Global Smooth Solutions to the Multi-dimensional Hydrodynamic Model for Two-carrier Plasmas

2002
Alì, Giuseppe
Jüngel, Ansgar
Series
Konstanzer Schriften in Mathematik und Informatik; 173
Preprint
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.
Subject (DDC)
004 Computer Science
Cite This
ISO 690ALÌ, Giuseppe, Ansgar JÜNGEL, 2002. Global Smooth Solutions to the Multi-dimensional Hydrodynamic Model for Two-carrier Plasmas
BibTex
@unpublished{Ali2002Globa-5994,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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