Spectral analysis for travelling waves in compressible two-phase fluids of Navier–Stokes–Allen–Cahn type
| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Kotschote, Matthias |
| Year of publication: | 2017 |
| Published in: | Journal of Evolution Equations ; 17 (2017), 1. - pp. 359-385. - ISSN 1424-3199. - eISSN 1424-3202 |
| DOI (citable link): | https://dx.doi.org/10.1007/s00028-016-0380-0 |
| Summary: |
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.
|
| Subject (DDC): | 510 Mathematics |
| Bibliography of Konstanz: | Yes |
Cite This
Files in this item
| Files | Size | Format | View |
|---|---|---|---|
|
There are no files associated with this item. |
|||
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
@article{Kotschote2017-03Spect-38903, title={Spectral analysis for travelling waves in compressible two-phase fluids of Navier–Stokes–Allen–Cahn type}, year={2017}, doi={10.1007/s00028-016-0380-0}, number={1}, volume={17}, issn={1424-3199}, journal={Journal of Evolution Equations}, pages={359--385}, author={Kotschote, Matthias} }
<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/rdf/resource/123456789/38903"> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-05-16T09:35:34Z</dc:date> <dc:creator>Kotschote, Matthias</dc:creator> <dc:language>eng</dc:language> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/38903"/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <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> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <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:issued>2017-03</dcterms:issued> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-05-16T09:35:34Z</dcterms:available> </rdf:Description> </rdf:RDF>
This item appears in the following Collection(s)
Search KOPS
Browse
My Account
