Back to Search
Start Over
A second-order elastic flow for path planning in ℝ2.
- Source :
-
Communications in Contemporary Mathematics . May2024, Vol. 26 Issue 4, p1-34. 34p. - Publication Year :
- 2024
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CLASSICAL solutions (Mathematics)
*INTERPOLATION
*SPLINES
Subjects
Details
- Language :
- English
- ISSN :
- 02191997
- Volume :
- 26
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Communications in Contemporary Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 176558083
- Full Text :
- https://doi.org/10.1142/S0219199722500808