Area preserving geodesic curvature driven flow of closed curves on a surface
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00316901" target="_blank" >RIV/68407700:21340/17:00316901 - isvavai.cz</a>
Result on the web
<a href="http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14025" target="_blank" >http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14025</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdsb.2017148" target="_blank" >10.3934/dcdsb.2017148</a>
Alternative languages
Result language
angličtina
Original language name
Area preserving geodesic curvature driven flow of closed curves on a surface
Original language description
We investigate a non-local geometric flow preserving surface area enclosed by a curve on a given surface evolved in the normal direction by the geodesic curvature and the external force. We show how such a flow of surface curves can be projected into a flow of planar curves with the non-local normal velocity. We prove that the surface area preserving flow decreases the length of the evolved surface curves. Local existence and continuation of classical smooth solutions to the governing system of partial differential equations is analysed as well. Furthermore, we propose a numerical method of flowing finite volume for spatial discretization in combination with the Runge-Kutta method for solving the resulting system. Several computational examples demonstrate variety of evolution of surface curves and the order of convergence.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Discrete and Continuous Dynamical Systems - B
ISSN
1531-3492
e-ISSN
1553-524X
Volume of the periodical
22
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
3671-3689
UT code for WoS article
000409969500004
EID of the result in the Scopus database
2-s2.0-85028714703