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A field theory two-body problem in acoustics
by
Michael T. Heitzman
University of Missouri
Coauthors: Carmen Chicone
An acoustic model is developed to illustrate a scheme for obtaining effective equations of motion for sources in field theories, where finite propagation speeds lead to radiation reaction and runaway solutions. The model is a hybrid system of PDEs for fluid pressure and velocity fields, coupled to ODEs for pistons that bound the fluid at each end. Elimination of the fields yields neutral functional differential equations for the pistons. Effective equations of motion are obtained by reduction to an inertial manifold, and may be approximated by expansion, truncation, and reduction to a slow manifold of a singular perturbation problem.
Date received: September 20, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caww-42.