Title:Hamiltonian Evolution Equations of inductionless MagnetohydrodynamicsAuthor(s):Andreas Siuka, Markus Schöberl, Kurt SchlacherAbstract:The objective of this contribution is to find a coordinate independent Hamiltonian representation of the governing equations of inductionless Magnetohydrodynamics, where we are interested in analysing the relevant energy flows in a purely geometric fashion also taking dissipative effects into account. We especially treat the boundary conditions in an extraordinary manner and we define control inputs which may act on the system boundary. Finally, the Port-Controlled Hamiltonian system representation, well-known in the lumped parameter case, is also reflected in the infinite dimensional case which is crucial particularly with regard to control theoretic aspects.Booktitle:19th International Symposium on Mathematical Theory of Networks & Systems (MTNS), Budapest, 2010Page Reference:page 1889 - 1896, 8 page(s)Publishing:7/2010