التفاصيل البيبلوغرافية
| العنوان: |
A second-order elastic flow for path planning in ℝ2. |
| المؤلفون: |
Lin, Chun-Chi1 (AUTHOR) chunlin@ntnu.edu.tw, Lue, Yang-Kai2 (AUTHOR) luf961@gmail.com, Tran, Dung The1 (AUTHOR) tranthedung56@gmail.com |
| المصدر: |
Communications in Contemporary Mathematics. May2024, Vol. 26 Issue 4, p1-34. 34p. |
| مصطلحات موضوعية: |
*CLASSICAL solutions (Mathematics), *INTERPOLATION, *SPLINES |
| مستخلص: |
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] |
| قاعدة البيانات: |
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