Jets, Lifts and Dynamics

Details Jets, Lifts and Dynamics Jets, Lifts and Dynamics

2010-11-03

arxiv.org/abs/1011.0832v1

Physics

Mathematical Physics

Scientific paper

We show that complete cotangent lifts of vector fields, their decomposition into vertical representative and holonomic part provide a geometrical framework underlying Eulerian equations of continuum mechanics. We discuss Euler equations for ideal incompressible fluid and Vlasov equations of plasma dynamics in connection with the lifts of divergence-free and Hamiltonian vector fields, respectively. As a further application, we obtain kinetic equations of particles moving with the flow of contact vector fields both from Lie-Poisson reductions and with the techniques of present framework.

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