View source for Druzhkov K. On the relation between symplectic structures and variational principles in continuum mechanics (abstract)

{{MeetingTalk
| speaker = Konstantin Druzhkov
| title = On the relation between symplectic structures and variational principles in continuum mechanics
| abstract = The relation between symplectic structures and variational principles of equations in an extended Kovalevskaya form is considered.

It is shown that each symplectic structure of a system of equations in an extended Kovalevskaya form determines a variational principle.

A canonical way to derive variational principle from a symplectic structure is obtained.

The relation between variational principles in Eulerian and Lagrangian variables is discussed.

It is shown that if a system of equations in Lagrangian variables is an Euler-Lagrange system of equations, then the corresponding variational principle has no analogues in Eulerian variables.
| video = https://video.gdeq.net/AMV-conf-20211214-Konstantin_Druzhkov.mp4
| slides = [[Media:DruzhkovAMVconf2021slides.pdf|DruzhkovAMVconf2021slides.pdf]]
| references = 
| event = [[Diffieties, Cohomological Physics, and Other Animals]], 13-17 December 2021, Moscow.<br>''Alexandre Vinogradov Memorial Conference.''
| 79YY-MM-DD = 7978-87-85
}}