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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     author = {B. I. Suleimanov and A. M. Shavlukov},
     title = {Inheritance of {Generic} {Singularities} of {Solutions} of a {Linear} {Wave} {Equation} by {Solutions} of {Isoentropic} {Gas} {Motion} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {625--640},
     publisher = {mathdoc},
     volume = {112},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_4_a10/}
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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/