A second-order elastic flow for path planning in R2

Chun Chi Lin, Yang Kai Lue*, Dung The Tran

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

We provide an approach of elastic flow with dynamic conditions at the knot points to resolve the path planning problem in the plane. The elastic flow is set up by a second-order semilinear parabolic system with nonlocal lower-order terms. We prove the existence of classical global solutions to the elastic flow, whose asymptotic limits provide classical solutions to the path planning problem.

原文英語
文章編號2250080
期刊Communications in Contemporary Mathematics
DOIs
出版狀態接受/付印 - 2023

ASJC Scopus subject areas

  • 一般數學
  • 應用數學

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