Communicated by B
Motion planning for the heat equation
✍ Scribed by Béatrice Laroche; Philippe Martin; Pierre Rouchon
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 211 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1049-8923
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📜 SIMILAR VOLUMES
## Abstract The general structure of equations of motion for test particles is considered with the help of a Lagrangian principle postulating a minimal coupling between internal and external variables. As an example the case of the Lorentz group as the basic internal group is considered in more det
We prove the following results: 1. A unique smooth solution exists for a short time for the heat equation associated with the Möbius energy of loops in a euclidean space, starting with any simple smooth loop. 2. A critical loop of the energy is smooth if it has cube-integrable curvature. Combining