Wave features and group analysis for an axi-symmetric model of a dusty gas

DOI10.1016/S0020-7462(99)00068-2zbMath1006.76097OpenAlexW2090277779MaRDI QIDQ1609352

Fiammetta Conforto

Publication date: 15 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0020-7462(99)00068-2

zbMATH Keywords

exact solutionsspherical symmetrysimilarity solutionsinvariance groupscanonical variablesgroup analysiscylindrical symmetrydusty gaspropagation of weak discontinuities

Mathematics Subject Classification ID

Dusty-gas two-phase flows (76T15) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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Nonlocal symmetries classifications and exact solution of Chaplygin gas equations ⋮ Self-similar solution of cylindrical shock wave propagation in a rotational axisymmetric mixture of a non-ideal gas and small solid particles ⋮ A self-similar solution for unsteady isothermal and adiabatic flows behind the shock wave in a dusty non-ideal rotating medium under the action of magnetic field ⋮ Similarity solution for a cylindrical shock wave in a rotational axisymmetric dusty gas with heat conduction and radiation heat flux ⋮ Spherical shock wave generated by a moving piston in mixture of a non-ideal gas and small solid particles under a gravitational field ⋮ Interaction of a characteristic shock with a weak discontinuity in a non-ideal gas ⋮ Interaction between weak discontinuities and shocks in a dusty gas ⋮ Collision of characteristic shock with weak discontinuity in non-ideal magnetogasdynamics ⋮ A self-similar solution for a strong shock wave in a mixture of a non-ideal gas and dust particles with radiation heat-flux

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