A class of exact solutions to the governing model of the three-dimensional motion of an adiabatic fluid is obtained by means of a reduction approach. These solutions are expressed in terms of Riemann invariants associated to an auxiliary 2x2 hyperbolic system and, involving arbitrary functions, they can be used for studying nonlinear wave interaction. In the process appropriate model pressure-density-entropy laws are determined in order the reduction procedure in point to be consistent.
Wave solutions to the multidimensional flow of an adiabatic fluid
CURRO', Carmela;FUSCO, Domenico
2001-01-01
Abstract
A class of exact solutions to the governing model of the three-dimensional motion of an adiabatic fluid is obtained by means of a reduction approach. These solutions are expressed in terms of Riemann invariants associated to an auxiliary 2x2 hyperbolic system and, involving arbitrary functions, they can be used for studying nonlinear wave interaction. In the process appropriate model pressure-density-entropy laws are determined in order the reduction procedure in point to be consistent.File in questo prodotto:
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