Self-similar problems of the compression of an ideal gas and its dispersion from a point

DOI10.1016/J.JAPPMATHMECH.2015.09.004zbMath1432.76225OpenAlexW2213023758MaRDI QIDQ2011429

Kh. F. Valiyev, A. N. Kraĭko

Publication date: 7 December 2019

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2015.09.004

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Self-similar solutions to PDEs (35C06)

Related Items (6)

Exact solutions of the equations of two-phase dynamics. Collapse of gas and particles in space ⋮ Ideal gas outflow from a cylindrical or spherical source into a vacuum ⋮ Reflection of a rarefaction wave from the center of symmetry: theoretical analysis of the flow features and calculation by the method of characteristics ⋮ A model of the big bang and universe expansion in general relativity with spread of a gas mass from a point to empty space ⋮ On the theory of axisymmetric conical flows and their one-dimensional unsteady analogues ⋮ The dispersion of an ideal gas from a point into a void. A new model of the Big Bang and the expansion of the Universe

Cites Work

• The spherical centered compression wave
• On unlimited cumulation in one-dimensional unsteady compression of an ideal gas.
• Nonself-similar flow with a shock wave reflected from the center of symmetry and new self-similar solutions with two reflected shocks

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