On the correspondence between the variational principles in the Eulerian and Lagrangian descriptions

DOI10.1134/S1061920821040014zbMath1479.35012arXiv2110.04235OpenAlexW4200554180MaRDI QIDQ825079

N. E. Zubov

Publication date: 17 December 2021

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.04235

zbMATH Keywords

nonlocal variablessymplectic and Hamiltonian structures

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Unnamed Item
• Variational principles of continuum mechanics. I: Fundamentals
• Extendable symplectic structures and the inverse problem of the calculus of variations for systems of equations written in generalized Kovalevskaya form
• Symmetries, Conservation Laws, Invariant Solutions and Difference Schemes of the One-dimensional Green-Naghdi Equations
• Presymplectic current and the inverse problem of the calculus of variations

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