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Cohomological geometry of differential equations
November 3, 2021 19:40, Moscow, online, for the access link please contact seminar@gdeq.org
 


The Euler system on a space curve

A. A. Duyunova, S. N. Tychkov
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MP4 88.1 Mb
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Adobe PDF 459.1 Kb

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A. A. Duyunova, S. N. Tychkov


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Abstract: We consider flows of an inviscid medium on a space curve in a constant gravitational field (the Euler system). We discuss symmetries and differential invariants of the Euler system, and give their classification based on symmetries group of the system. Using differential invariants for this system, we obtain its quotient. The solutions of the quotient equation that are constant along characteristic vector field provide some solutions of the Euler system.
Joint work with Valentin Lychagin.

Materials: slide_curve.pdf (459.1 Kb)

Language: English

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