Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Geometric approach on the global conservative solutions of the Camassa–Holm equation
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2019 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, E-ISSN 1879-1662, Vol. 142, p. 137-150Article in journal (Refereed) Published
Abstract [en]

In this paper we construct global weak conservative solutions of the Camassa–Holm (CH)equation on the periodic domain. We first express the equation in Lagrangian flow variable η and then transform it using the change of variables ρ=η x . The new variable removes the singularity of the CH equation, and we obtain both global weak conservative solutions and global spatial smoothness of the Lagrangian trajectories of the CH equation. This work is motivated by J. Lenells who proved similar results for the Hunter–Saxton equation using the geometric interpretation.

Place, publisher, year, edition, pages
Elsevier B.V. , 2019. Vol. 142, p. 137-150
Keywords [en]
Camassa–Holm equation, Global smoothness of Lagrangian trajectories, Global weak conservative solution
National Category
Geometry
Identifiers
URN: urn:nbn:se:kth:diva-252482DOI: 10.1016/j.geomphys.2019.04.003ISI: 000472701500010Scopus ID: 2-s2.0-85064859558OAI: oai:DiVA.org:kth-252482DiVA, id: diva2:1337227
Note

QC 20190712

Available from: 2019-07-12 Created: 2019-07-12 Last updated: 2019-07-12Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records BETA

Lee, Jae Min

Search in DiVA

By author/editor
Lee, Jae Min
By organisation
Mathematics (Dept.)
In the same journal
Journal of Geometry and Physics
Geometry

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 7 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf