On q-Gaussian Gasdynamic and Magnetogasdynamic Systems. Integrable Hamiltonian Reductions
by
Colin Rogers(Australian Research Council Centre of Excellence for Mathematics & Statistics of Complex Systems)
→
Europe/Rome
Aula 8 (Dipartimento di Fisica - Ed. E. Fermi)
Aula 8
Dipartimento di Fisica - Ed. E. Fermi
Description
Integrable substructure in gasdynamic and magnetogasdynamics systems is investigated via a general elliptic vortex ansatz. Certain universal and Hamiltonian aspects of the admitted representations are uncovered. Thermodynamically consistent relations are obtained for which the systems with a q-Gaussian density distribution admit reduction to integrable systems of Dyson-type in 3+1-dimensions and to integrable systems of Ermakov-Ray-Reid type in 2+1-dimensions. In the latter case, in the conduct! ing context, the Ermakov components of this nonlinear system describe the time-evolution of the semi-axes of the elliptic cylinder within which the magnetogasdynamics motion is confined.
