Exact solutions to the equations of ideal gas dynamics by means of the substitution principle

DOI10.1016/S0020-7462(97)00037-1zbMath0906.76078MaRDI QIDQ1390102

Maria Paola Speciale, Francesco Olivieri

Publication date: 14 July 1998

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

zbMATH Keywords

invariancethree-dimensional unsteady flowsgeneralized stretching groupgeneralized time translation solutionsinviscid thermally non-conducting fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Geometric theory, characteristics, transformations in context of PDEs (35A30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (8)

A consistent approach to approximate Lie symmetries of differential equations ⋮ Similarity reduction and closed form solutions for a model derived from two-layer fluids ⋮ Reduction of balance laws in \((3+1)\)-dimensions to autonomous conservation laws by means of equivalence transformations ⋮ Construction of autonomous conservation laws ⋮ Approximate analysis of a nonlinear dissipative model ⋮ Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method ⋮ Reduction of balance laws to conservation laws by means of equivalence transformations ⋮ Analysis of \((3 + 1)\)-dimensional unsteady gas flow using optimal system of Lie symmetries

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