Seminar talk, 3 November 2021: Difference between revisions
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{{ | {{Talk2 | ||
| | | speaker1 = Anna Duyunova | ||
| speaker2 = Sergey Tychkov | |||
| title = The Euler system on a space curve | | title = The Euler system on a space curve | ||
| 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. | | 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. | Joint work with Valentin Lychagin. | ||
| video = | | video = https://video.gdeq.org/GDEq-zoom-seminar-20211103-Anna_Duyunova.mp4 | ||
| slides = | | slides = [[Media:slide-curve.pdf|slide-curve.pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7978-88-96 | | 79YY-MM-DD = 7978-88-96 | ||
}} | }} | ||
Latest revision as of 08:40, 4 January 2025
Speakers: Anna Duyunova and Sergey Tychkov
Title: The Euler system on a space curve
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.
Video
Slides: slide-curve.pdf