Powered by OpenAIRE graph
Found an issue? Give us feedback
downloadFull-Text
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Archivio Istituziona...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Archivio Istituzionale della Ricerca - Politecnico di Bari
Article . 2020
License: CC BY
Full-Text: https://iris.poliba.it/bitstream/11589/205652/1/CoclitediRuvoCM.pdf
Data sources: Archivio Istituzionale della Ricerca - Politecnico di Bari
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Article . 2020
Data sources: ZENODO
Contemporary Mathematics
Article . 2020 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.37256/cm...
Article
Data sources: Microsoft Academic Graph
 View all 3 versions
Claim

Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One

descriptionPublicationkeyboard_double_arrow_right Article 29 Sep 2020 Italy Publisher:Universal Wiser Publisher Pte. LtdJournal:Contemporary Mathematics (issn: 2705-1064, eissn: 2705-1056, Copyright policy )
Authors: Coclite, Giuseppe Maria; di Ruvo, Lorenzo;

doi: 10.37256/cm.152020502

handle: 11589/205652

Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One

Abstract

The Rosenau-Korteweg-de Vries equation describes the wave-wave and wave-wall interactions. In this paper, we prove that, as the diffusion parameter is near zero, it coincides with the Korteweg-de Vries equation. The proof relies on deriving suitable a priori estimates together with an application of the Aubin-Lions Lemma.

Country
Italy
Related Organizations
Keywords

Existence; uniqueness; stability; rosenau-korteweg-de vries-equation; korteweg-de vries equation

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 6
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Top 10%
Green