Title :
Geometric aspects of first order field theories in piezoelectricity and magnetohydrodynamics
Author :
Schöberl, M. ; Siuka, A. ; Schlacher, K.
Author_Institution :
Inst. of Autom. Control & Control Syst. Technol., Johannes Kepler Univ. Linz, Linz, Austria
Abstract :
This paper deals with geometric properties of first order Hamiltonian systems in field theory. We focus on the physical system properties, especially on energy flows as well as on an adequate formulation of input and output maps including differential operators. The proposed machinery is demonstrated on modeling of piezoelectric structures and magnetohydrodynamical systems.
Keywords :
geometry; magnetohydrodynamics; piezoelectric materials; piezoelectricity; energy flows; first-order Hamiltonian systems; first-order field theories; geometric aspects; machinery; magnetohydrodynamical systems; physical system properties; piezoelectric structures; piezoelectricity; Computational modeling; Control systems; Electric potential; Equations; Magnetohydrodynamics; Mathematical model; Postal services;
Conference_Titel :
Electromagnetics in Advanced Applications (ICEAA), 2010 International Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
978-1-4244-7366-3
DOI :
10.1109/ICEAA.2010.5652131
