RT Book, Section T1 Conservation laws as part of Lagrangian reduction. Application to image evolution A1 Castrillón López, Marco A2 Nielsen, F. A2 Barbaresco, F. AB This note collects a series of results into a single formulation. Namely, it is proved that, when reduction is performed to a symmetric Lagrangian, the reduced variational equations can be split into two parts, one of them is exactly the Noether theorem. Conservation laws enter into reduction as part of the new variational equations. We give a short description of this situation in the case of evolution of circles in the plane. PB Springer YR 2023 FD 2023-08-01 LK https://hdl.handle.net/20.500.14352/87663 UL https://hdl.handle.net/20.500.14352/87663 LA eng DS Docta Complutense RD 10 abr 2025