Comparing motion of curves and hypersurfaces in $mathbb{R}^m$

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00334789" target="_blank" >RIV/68407700:21340/19:00334789 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.3934/dcdsb.2019032" target="_blank" >https://doi.org/10.3934/dcdsb.2019032</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdsb.2019032" target="_blank" >10.3934/dcdsb.2019032</a>

Result language
angličtina
Original language name
Comparing motion of curves and hypersurfaces in $mathbb{R}^m$
Original language description
This article aims to contribute to the understanding of the curvature flow of curves in a higher-dimensional space. Evolution of curves in R^m by their curvature is compared to the motion of hypersurfaces with constrained normal velocity. The special case of shrinking hyperspheres is further analyzed both theoretically and numerically by means of a semi-discrete scheme with discretization based on osculating circles. Computational examples of evolving spherical curves are provided along with the measurement of the experimental order of convergence.
Czech name
—
Czech description
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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

Project
<a href="/en/project/NV15-27178A" target="_blank" >NV15-27178A: Quantitative mapping of the myocardium and flow dynamics using MRI in patients with non-ischemic cardiac disease - methodology improvement</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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