25 citations · 119 across the 42 of their papers we have counts for
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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…
math.AP2019★ 9 cited
On equivalence of third order linear differential operators on two-dimensional manifolds
Valentin Lychagin, Valeriy Yumaguzhin
We study differential invariants of the third order linear differential operators and use them to find conditions for equivalence of differential operators acting in line bundles o…