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math.AP2021
Singularities in one-dimensional Euler flows
Mikhail Roop
In this paper, a system of one-dimensional gas dynamics equations is considered. This system is a particular case of Jacobi type systems and has a natural representation in terms o…
math.AP2020
Singularities in Euler flows: multivalued solutions, shock waves, and phase transitions
Valentin Lychagin, Mikhail Roop
In this paper, we analyze various types of critical phenomena in one-dimensional gas flows described by Euler equations. We give a geometrical interpretation of thermodynamics with…