Generalized Whitham Flow and Its Applications

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

  • Lynn Heller

Research Organisations

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Details

Original languageEnglish
Title of host publicationMinimal Surfaces: Integrable Systems and Visualisation
Subtitle of host publicationm:iv Workshops, 2016–19
EditorsTim Hoffmann, Martin Kilian, Katrin Leschke, Francisco Martin
Pages131-146
Number of pages16
ISBN (electronic)978-3-030-68541-6
Publication statusPublished - 7 May 2021
EventWorkshop Series of Minimal Surfaces: Integrable Systems and Visualisation, 2016-19 - Cork, Ireland
Duration: 27 Mar 201729 Mar 2017

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume349
ISSN (Print)2194-1009
ISSN (electronic)2194-1017

Abstract

The generalized Whitham flow [12] is a technique to interpolate between (symmetric) solutions of differential equations on surfaces with differing topology by introducing boundary conditions. This is a survey article on applications of the flow to the harmonic maps and self-duality equations over Riemann surfaces. We also discuss conjectures arising from the long time existence of such a flow.

Keywords

    Computational geometry, Graph theory, Hamilton cycles

ASJC Scopus subject areas

Cite this

Generalized Whitham Flow and Its Applications. / Heller, Lynn.
Minimal Surfaces: Integrable Systems and Visualisation : m:iv Workshops, 2016–19. ed. / Tim Hoffmann; Martin Kilian; Katrin Leschke; Francisco Martin. 2021. p. 131-146 (Springer Proceedings in Mathematics and Statistics; Vol. 349).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Heller, L 2021, Generalized Whitham Flow and Its Applications. in T Hoffmann, M Kilian, K Leschke & F Martin (eds), Minimal Surfaces: Integrable Systems and Visualisation : m:iv Workshops, 2016–19. Springer Proceedings in Mathematics and Statistics, vol. 349, pp. 131-146, Workshop Series of Minimal Surfaces: Integrable Systems and Visualisation, 2016-19, Cork, Ireland, 27 Mar 2017. https://doi.org/10.1007/978-3-030-68541-6_8
Heller, L. (2021). Generalized Whitham Flow and Its Applications. In T. Hoffmann, M. Kilian, K. Leschke, & F. Martin (Eds.), Minimal Surfaces: Integrable Systems and Visualisation : m:iv Workshops, 2016–19 (pp. 131-146). (Springer Proceedings in Mathematics and Statistics; Vol. 349). https://doi.org/10.1007/978-3-030-68541-6_8
Heller L. Generalized Whitham Flow and Its Applications. In Hoffmann T, Kilian M, Leschke K, Martin F, editors, Minimal Surfaces: Integrable Systems and Visualisation : m:iv Workshops, 2016–19. 2021. p. 131-146. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-030-68541-6_8
Heller, Lynn. / Generalized Whitham Flow and Its Applications. Minimal Surfaces: Integrable Systems and Visualisation : m:iv Workshops, 2016–19. editor / Tim Hoffmann ; Martin Kilian ; Katrin Leschke ; Francisco Martin. 2021. pp. 131-146 (Springer Proceedings in Mathematics and Statistics).
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