Exact solutions to the equations of perfect gases through Lie group analysis and substitution principles |
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Authors: | Francesco Oliveri Maria Paola Speciale |
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Institution: | Department of Mathematics, University of Messina, Contrada Papardo, Salita Sperone 31, 98166 Sant’Agata, Messina, Italy |
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Abstract: | In this paper we consider the equations that govern the motion of perfect gases. We explicitly characterize some classes of steady solutions in two and three space dimensions, by introducing invertible point transformations suggested by Lie group analysis; moreover, by using various transformations known as substitution principles, new steady and unsteady solutions are constructed. |
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Keywords: | Perfect gases Substitution principles Lie group analysis Exact solutions |
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