Details
Original language | English |
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Title of host publication | Minimal Surfaces: Integrable Systems and Visualisation |
Subtitle of host publication | m:iv Workshops, 2016–19 |
Editors | Tim Hoffmann, Martin Kilian, Katrin Leschke, Francisco Martin |
Pages | 131-146 |
Number of pages | 16 |
ISBN (electronic) | 978-3-030-68541-6 |
Publication status | Published - 7 May 2021 |
Event | Workshop Series of Minimal Surfaces: Integrable Systems and Visualisation, 2016-19 - Cork, Ireland Duration: 27 Mar 2017 → 29 Mar 2017 |
Publication series
Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 349 |
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
- Mathematics(all)
- General Mathematics
Cite this
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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 proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Generalized Whitham Flow and Its Applications
AU - Heller, Lynn
PY - 2021/5/7
Y1 - 2021/5/7
N2 - 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.
AB - 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.
KW - Computational geometry
KW - Graph theory
KW - Hamilton cycles
UR - http://www.scopus.com/inward/record.url?scp=85111166375&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-68541-6_8
DO - 10.1007/978-3-030-68541-6_8
M3 - Conference contribution
AN - SCOPUS:85111166375
SN - 9783030685409
T3 - Springer Proceedings in Mathematics and Statistics
SP - 131
EP - 146
BT - Minimal Surfaces: Integrable Systems and Visualisation
A2 - Hoffmann, Tim
A2 - Kilian, Martin
A2 - Leschke, Katrin
A2 - Martin, Francisco
T2 - Workshop Series of Minimal Surfaces: Integrable Systems and Visualisation, 2016-19
Y2 - 27 March 2017 through 29 March 2017
ER -