uu.seUppsala University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • 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
Fixed points of a destabilized Kuramoto-Sivashinsky equation
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied Mathematics and Statistics.
2015 (English)In: Applied Mathematics and Computation, ISSN 0096-3003, E-ISSN 1873-5649, Vol. 266, 339-349 p.Article in journal (Refereed) Published
Abstract [en]

We consider the family of destabilized Kuramoto-Sivashinsky equations in one spatial dimension u(t) + nu u(xxx) + beta u(xx) + gamma uu(x) - alpha u for alpha, nu >= 0 and beta, gamma is an element of R. For certain parameter values, shock like stationary solutions have been numerically observed. In this work we verify the existence of several such solutions using the framework of self consistent bounds and validated numerics. Published by Elsevier Inc.

Place, publisher, year, edition, pages
2015. Vol. 266, 339-349 p.
Keyword [en]
Kuramoto-Sivashinsky equations, Boundary value problem, Galerkin projection, Self consistent bounds, Rigorous computations, Interval arithmetic
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-261933DOI: 10.1016/j.amc.2015.05.082ISI: 000359300100028OAI: oai:DiVA.org:uu-261933DiVA: diva2:855904
Funder
Swedish Research Council, 2008-7510
Available from: 2015-09-22 Created: 2015-09-07 Last updated: 2017-12-01Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Tucker, Warwick

Search in DiVA

By author/editor
Tucker, Warwick
By organisation
Applied Mathematics and Statistics
In the same journal
Applied Mathematics and Computation
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 757 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • 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