The governing equations of a dusty gas with cylindrical or spherical symmetry are considered. Using the commuting properties of the invariance groups of the system, we are able to characterize appropriate `canonicala variables allowing to reduce the equations to autonomous form. In this way, we characterize particular exact solutions and the propagation of weak discontinuities is considered in such non-constant states.
Wave features and group analysis for an axi-symmetric model of a dusty gas
CONFORTO, Fiammetta
2000-01-01
Abstract
The governing equations of a dusty gas with cylindrical or spherical symmetry are considered. Using the commuting properties of the invariance groups of the system, we are able to characterize appropriate `canonicala variables allowing to reduce the equations to autonomous form. In this way, we characterize particular exact solutions and the propagation of weak discontinuities is considered in such non-constant states.File in questo prodotto:
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