Seminar talk, 25 February 2015: Difference between revisions
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In the case of polytropic gas motion, we calculate classes of explicit solutions possessing the linear connection with zero torsion. | In the case of polytropic gas motion, we calculate classes of explicit solutions possessing the linear connection with zero torsion. | ||
| video = http://video.gdeq. | | video = http://video.gdeq.net/GDEq-seminar-20150225-Valery_Yumaguzhin.mkv | ||
| slides = [[Media:Yumaguzhin_V._Differential_invariants_on_solutions_of_equations_of_adiabatic_gas_motion__(presentation_at_the_Krasil'shchik's_IUM_Seminar,_25_February_2015).pdf|Yumaguzhin V. Differential invariants on solutions of equations of adiabatic gas motion (presentation at the Krasil'shchik's IUM Seminar, 25 February 2015).pdf]] | | slides = [[Media:Yumaguzhin_V._Differential_invariants_on_solutions_of_equations_of_adiabatic_gas_motion__(presentation_at_the_Krasil'shchik's_IUM_Seminar,_25_February_2015).pdf|Yumaguzhin V. Differential invariants on solutions of equations of adiabatic gas motion (presentation at the Krasil'shchik's IUM Seminar, 25 February 2015).pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7984-97-74 | | 79YY-MM-DD = 7984-97-74 | ||
}} | }} | ||
Revision as of 10:55, 28 February 2015
Speaker: Valery Yumaguzhin
Title: Differential invariants on solutions of equations of adiabatic gas motion
Abstract:
The talk will discuss the system of equations of adiabatic gas motion in -dimensional space, .
Characteristic covectors of this system generate a geometric structure on every solution of this system. This structure consists of a hyperplane and a non degenerate cone in every cotangent space to a solution. These hyperplane and cone intersect in zero point only.
We construct differential invariants of this structure: a vector field, a metric, and a linear connection with torsion in general position.
In the case of polytropic gas motion, we calculate classes of explicit solutions possessing the linear connection with zero torsion.
Video
Slides: Yumaguzhin V. Differential invariants on solutions of equations of adiabatic gas motion (presentation at the Krasil'shchik's IUM Seminar, 25 February 2015).pdf