3 papers
math-ph2026
Optimal Control of Incompressible Ideal Flows with Obstacle Avoidance
Alexandre Anahory Simoes, Anthony Bloch, Leonardo Colombo
It was shown in \cite{bloch2000optimal} that an optimal control formulation for incompressible ideal fluid flow yields Euler's equations. In this paper, we consider a variational o…
math-ph2025
Variational Dissipative Mechanics on Lie Algebroids
Alexandre Anahory Simoes, Leonardo Colombo
We formulate a Herglotz-type variational principle on a Lie algebroid and derive the corresponding Euler--Lagrange--Herglotz equations for a Lagrangian depending on an additional s…
math.DG2024
Mechanical Hamiltonization of unreduced -simple Chaplygin systems
Alexandre Anahory Simoes, Juan Carlos Marrero, David MartÃn de Diego
In this paper, we prove that the trajectories of unreduced -simple Chaplygin kinetic systems are reparametrizations of horizontal geodesics with respect to a modified Riemannia…