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

Dateien

preprint_173.pdf(322.4 KB)

Datum

2002

Autor:innen

Alì, Giuseppe

Jüngel, Ansgar

Schriftenreihe

Konstanzer Schriften in Mathematik und Informatik; 173

Publikationstyp

Preprint

Zusammenfassung

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.

Fachgebiet (DDC)

004 Informatik

Zitieren

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@unpublished{Ali2002Globa-5994,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}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/5994">
    <dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
    <dc:format>application/pdf</dc:format>
    <dcterms:issued>2002</dcterms:issued>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:08:38Z</dc:date>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/5994/1/preprint_173.pdf"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Jüngel, Ansgar</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dcterms:title>Global Smooth Solutions to the Multi-dimensional Hydrodynamic Model for Two-carrier Plasmas</dcterms:title>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:08:38Z</dcterms:available>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:creator>Jüngel, Ansgar</dc:creator>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/5994"/>
    <dc:contributor>Alì, Giuseppe</dc:contributor>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/5994/1/preprint_173.pdf"/>
    <dc:creator>Alì, Giuseppe</dc:creator>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:language>eng</dc:language>
  </rdf:Description>
</rdf:RDF>