Seminar talk, 16 December 2009: Difference between revisions
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In the talk the above claim will be demostrated with examples of the system of adiabatic gas dynamics equations in <math>n</math>-dimensinal space (<math>n=1,2,3</math>) and the Khokhlov-Zabolotskaya equation. | In the talk the above claim will be demostrated with examples of the system of adiabatic gas dynamics equations in <math>n</math>-dimensinal space (<math>n=1,2,3</math>) and the Khokhlov-Zabolotskaya equation. | ||
The talk is based on joint works of the speaker with [[Valentin Lychagin]] | The talk is based on joint works of the speaker with [[Valentin Lychagin]]. | ||
| slides = | | slides = | ||
| references = | | references = | ||
| 79YY-MM-DD = 7990-87-83 | | 79YY-MM-DD = 7990-87-83 | ||
}} | }} | ||
Revision as of 13:37, 5 December 2009
Speaker: Valery Yumaguzhin
Title: Structural differential invariants of natural bundles. Part 2. Geometric structures on solutions of nonlinear differential equations
Abstract:
Many of the nonlinear differential equations give rise to nontrivial geometric structures on their solutions viewed as manifolds. Differential invariants of these structures can be used in studying the solutions themselves.
In the talk the above claim will be demostrated with examples of the system of adiabatic gas dynamics equations in -dimensinal space () and the Khokhlov-Zabolotskaya equation.
The talk is based on joint works of the speaker with Valentin Lychagin.