52 citations · 73 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Design and stability of a family of deployable structures
Thomas Lessinnes, Alain Goriely
A large family of deployable filamentary structures can be built by connecting two elastic rods along their length. The resulting structure has interesting shapes that can be stabi…
Geometric conditions for the positive definiteness of the second variation in one-dimensional problems
Thomas Lessinnes, Alain Goriely
Given a functional for a one-dimensional physical system, a classical problem is to minimize it by finding stationary solutions and then checking the positive definiteness of the s…
Energy transfers in shell models for MHD turbulence
T. Lessinnes, M. K. Verma, D. Carati
A systematic procedure to derive shell models for MHD turbulence is proposed. It takes into account the conservation of ideal quadratic invariants such as the total energy, the cro…