Variational formulations for nonlinear wave propagation and unsteady transonic flow

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Abstract

A variational principle developed recently for constrained vector fields is applied to nonlinear waves and to unsteady, transonic flow. The mathematical conditions on the admissible functional form of the speed of propagation is compatible with physical considerations for the first systems and the treatment of the mixed derivative is indicative for a proper way to discretize the second for numerical calculations. The variational formulation provides a framework for stability analysis and finite element approximations for the nonlinear systems considered.

Original languageEnglish
Pages (from-to)1037-1043
Number of pages7
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume28
Issue number6
DOIs
StatePublished - Nov 1977

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