Spectral analysis for travelling waves in compressible two-phase fluids of Navier–Stokes–Allen–Cahn type

Kotschote, Matthias

Spectral analysis for travelling waves in compressible two-phase fluids of Navier–Stokes–Allen–Cahn type

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2017

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Journal of Evolution Equations ; 17 (2017), 1. - S. 359-385. - ISSN 1424-3199. - eISSN 1424-3202

Zusammenfassung

This is the first part of two papers whose purpose is to investigate stability of travelling wave solutions to the so-called Navier–Stokes–Allen–Cahn system. This set of equations is a combination of the Navier–Stokes equations for compressible fluids supplemented with a phase field description of Allen–Cahn type. The main part of this work deals with studying the problem obtained by linearizing the NSAC system around so-called standing waves. The main results are (1) local well-posedness of the linearized equations and (2) a detailed description of the point and essential spectrum. As a by-product, we obtain analyticity of the associated semigroup.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

KOTSCHOTE, Matthias, 2017. Spectral analysis for travelling waves in compressible two-phase fluids of Navier–Stokes–Allen–Cahn type. In: Journal of Evolution Equations. 17(1), pp. 359-385. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-016-0380-0

BibTex

@article{Kotschote2017-03Spect-38903,
  year={2017},
  doi={10.1007/s00028-016-0380-0},
  title={Spectral analysis for travelling waves in compressible two-phase fluids of Navier–Stokes–Allen–Cahn type},
  number={1},
  volume={17},
  issn={1424-3199},
  journal={Journal of Evolution Equations},
  pages={359--385},
  author={Kotschote, Matthias}
}

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/123456789/38903">
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:issued>2017-03</dcterms:issued>
    <dc:contributor>Kotschote, Matthias</dc:contributor>
    <dcterms:title>Spectral analysis for travelling waves in compressible two-phase fluids of Navier–Stokes–Allen–Cahn type</dcterms:title>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-05-16T09:35:34Z</dc:date>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-05-16T09:35:34Z</dcterms:available>
    <dc:language>eng</dc:language>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/38903"/>
    <dcterms:abstract xml:lang="eng">This is the first part of two papers whose purpose is to investigate stability of travelling wave solutions to the so-called Navier–Stokes–Allen–Cahn system. This set of equations is a combination of the Navier–Stokes equations for compressible fluids supplemented with a phase field description of Allen–Cahn type. The main part of this work deals with studying the problem obtained by linearizing the NSAC system around so-called standing waves. The main results are (1) local well-posedness of the linearized equations and (2) a detailed description of the point and essential spectrum. As a by-product, we obtain analyticity of the associated semigroup.</dcterms:abstract>
    <dc:creator>Kotschote, Matthias</dc:creator>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Ja