Publikation:

Local asymptotics for nonlocal convective Cahn-Hilliard equations with W1,1 kernel and singular potential

Lade...
Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2021

Autor:innen

Davoli, Elisa
Scarpa, Luca

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

Differential Equations. Elsevier. 2021, 289, pp. 35-58. ISSN 0012-2661. eISSN 1608-3083. Available under: doi: 10.1016/j.jde.2021.04.016

Zusammenfassung

We prove existence of solutions and study the nonlocal-to-local asymptotics for nonlocal, convective, Cahn-Hilliard equations in the case of a W1,1 convolution kernel and under homogeneous Neumann conditions. Any type of potential, possibly also of double-obstacle or logarithmic type, is included. Additionally, we highlight variants and extensions to the setting of periodic boundary conditions and viscosity contributions, as well as connections with the general theory of evolutionary convergence of gradient flows.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Nonlocal Cahn-Hilliard equation, Convection, Well-posedness, Nonlocal-to-local convergence, -kernel

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690DAVOLI, Elisa, Luca SCARPA, Lara TRUSSARDI, 2021. Local asymptotics for nonlocal convective Cahn-Hilliard equations with W1,1 kernel and singular potential. In: Differential Equations. Elsevier. 2021, 289, pp. 35-58. ISSN 0012-2661. eISSN 1608-3083. Available under: doi: 10.1016/j.jde.2021.04.016
BibTex
@article{Davoli2021Local-55527,
  year={2021},
  doi={10.1016/j.jde.2021.04.016},
  title={Local asymptotics for nonlocal convective Cahn-Hilliard equations with W<sup>1,1</sup> kernel and singular potential},
  volume={289},
  issn={0012-2661},
  journal={Differential Equations},
  pages={35--58},
  author={Davoli, Elisa and Scarpa, Luca and Trussardi, Lara}
}
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/123456789/55527">
    <dc:creator>Scarpa, Luca</dc:creator>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:rights>terms-of-use</dc:rights>
    <dc:creator>Trussardi, Lara</dc:creator>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/55527"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Scarpa, Luca</dc:contributor>
    <dc:language>eng</dc:language>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-11-12T12:08:13Z</dcterms:available>
    <dc:creator>Davoli, Elisa</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:title>Local asymptotics for nonlocal convective Cahn-Hilliard equations with W&lt;sup&gt;1,1&lt;/sup&gt; kernel and singular potential</dcterms:title>
    <dc:contributor>Trussardi, Lara</dc:contributor>
    <dcterms:issued>2021</dcterms:issued>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-11-12T12:08:13Z</dc:date>
    <dcterms:abstract xml:lang="eng">We prove existence of solutions and study the nonlocal-to-local asymptotics for nonlocal, convective, Cahn-Hilliard equations in the case of a W&lt;sup&gt;1,1&lt;/sup&gt; convolution kernel and under homogeneous Neumann conditions. Any type of potential, possibly also of double-obstacle or logarithmic type, is included. Additionally, we highlight variants and extensions to the setting of periodic boundary conditions and viscosity contributions, as well as connections with the general theory of evolutionary convergence of gradient flows.</dcterms:abstract>
    <dc:contributor>Davoli, Elisa</dc:contributor>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Ja
Diese Publikation teilen