Seminar talk, 25 February 2015: Difference between revisions
Created page with "{{Talk | speaker = Valery Yumaguzhin | title = Differential invariants on solutions of equations of adiabatic gas motion | abstract = | slides = | references = | 79YY-MM-DD..." |
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| speaker = Valery Yumaguzhin | | speaker = Valery Yumaguzhin | ||
| title = Differential invariants on solutions of equations of adiabatic gas motion | | title = Differential invariants on solutions of equations of adiabatic gas motion | ||
| abstract = | | abstract = The talk will discuss the system of equations of adiabatic gas motion in n-dimensional space, n=1,2,3 | ||
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. | |||
| slides = | | slides = | ||
| references = | | references = | ||
| 79YY-MM-DD = 7984-97-74 | | 79YY-MM-DD = 7984-97-74 | ||
}} | }} | ||
Revision as of 12:40, 8 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 n-dimensional space, n=1,2,3
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.