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

Alì, Giuseppe; Jüngel, Ansgar

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

Files

preprint_173.pdf(322.4 KB)

Date

2002

Authors

Alì, Giuseppe

Jüngel, Ansgar

Series

Konstanzer Schriften in Mathematik und Informatik; 173

Publication type

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 690

ALÌ, 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@unpublished{Ali2002Globa-5994,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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