Evolution of multiple closed knotted curves in space

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F24%3A00379752" target="_blank" >RIV/68407700:21340/24:00379752 - isvavai.cz</a>
Result on the web
<a href="http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/2162" target="_blank" >http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/2162</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Evolution of multiple closed knotted curves in space
Original language description
We investigate a system of geometric evolution equations describing a curvature driven motion of a family of 3D curves in the normal and binormal directions. We explore the direct Lagrangian approach for treating the geometric flow of such interacting curves. Using the abstract theory of nonlinear analytic semi-flows, we are able to prove local existence, uniqueness, and continuation of classical Holder smooth solutions to the governing system of non-linear parabolic equations modelling $n$ evolving curves with mutual nonlocal interactions. We present several computational studies of the flow that combine the normal or binormal velocity and considering nonlocal interaction.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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