Geodesic
Inheritance of Generic Singularities of Solutions of a Linear Wave Equation by Solutions of Isoentropic Gas Motion Equations
Matematičeskie zametki, Tome 112 (2022) no. 4, pp. 625-640.

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It is shown that the catastrophe germs of smooth mappings determining the three generic (in the sense of mathematical catastrophe theory) singularities of solutions of systems of equations for a one-dimensional isoentropic gas coincide with the germs corresponding to similar singularities of solutions of a linear wave equation with constant coefficients. The conjecture is put forth that such an inheritance for generic singularities of solutions of systems of equations for a isoentropic gas must also take place in spatially multidimensional cases.
Keywords: catastrophe theory, gas dynamics equations, shallow water equations. 
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B. I. Suleimanov; A. M. Shavlukov. Inheritance of Generic Singularities of Solutions of a Linear Wave Equation by Solutions of Isoentropic Gas Motion Equations. Matematičeskie zametki, Tome 112 (2022) no. 4, pp. 625-640. http://geodesic.mathdoc.fr/item/MZM_2022_112_4_a10/

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