52 citations · 73 across the 7 of their papers we have counts for
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math.DS2026
The two momenta of an elastic rod: a Hamiltonian picture on framed Lie groups
Thomas Lessinnes
The equilibrium equations of elastic rods can be obtained by balancing forces and moments, or by rendering a potential energy stationary. For complex filaments the energy route ask…
math.DS2020
Relative Equilibria of Magnetic Micro-Swimmers
Pauline Ruegg-Reymond, Thomas Lessinnes
We revisit the dynamics of a permanent-magnetic rigid body submitted to a spatially-uniform steadily-rotating magnetic field in Stokes flow. We propose an analytical parameterisati…
math.DS2018★ 1 cited
Asymptotic Dynamics of Magnetic Micro-Swimmers
Pauline Rüegg-Reymond, Thomas Lessinnes
Micro-swimmers put into motion by a rotating magnetic field have provided interesting challenges both in engineering and in mathematical modelling. We study here the dynamics of a…