On Diffusion and Transport Acting on Parameterized Moving Closed Curves in Space
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00388521" target="_blank" >RIV/68407700:21340/25:00388521 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/mma.70102" target="_blank" >https://doi.org/10.1002/mma.70102</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.70102" target="_blank" >10.1002/mma.70102</a>
Alternative languages
Result language
angličtina
Original language name
On Diffusion and Transport Acting on Parameterized Moving Closed Curves in Space
Original language description
We investigate the motion of closed smooth curves that evolve in space . The governing evolutionary equation for the evolution of the curve is accompanied by a parabolic equation for the scalar quantity evaluated over the evolving curve. We apply the direct Lagrangian approach to describe the flow of 3D curves, resulting in a system of degenerate parabolic equations. We prove the local existence and uniqueness of classical Hölder smooth solutions to the governing system of nonlinear parabolic equations. A numerical discretization scheme is constructed using the method of flowing finite volumes. We present several numerical examples of the evolution of curves in 3D with a scalar quantity. We consider the flow of curves with zero torsion evolving in rotating and parallel planes. Next, we present examples of the evolution of curves with initially knotted and unknotted curves.
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
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA25-18265S" target="_blank" >GA25-18265S: Computational models of hydraulic fracturing in geothermal energy production</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Methods in the Applied Sciences
ISSN
0170-4214
e-ISSN
1099-1476
Volume of the periodical
48
Issue of the periodical within the volume
18
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
16480-16494
UT code for WoS article
001564087100001
EID of the result in the Scopus database
2-s2.0-105015341806