Urban, Zbynek and Krupka, Demeter (2015) Variational theory on Grassmann fibrations: Examples. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (1). pp. 153-170. ISSN 0866-0174
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Abstract
Simple examples of variational functionals on Grassmann fibrations are analysed on the basis of the Hilbert form. The Lagrange, Euler-Lagrange, and Noether classes, characterizing the functionals, their extremals and invariance properties are discussed. The relationship of equations for extremals and conservation law equations is established; in the examples the system of Euler-Lagrange equations turns out to be equivalent with the system of conservation law equations.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 06 Feb 2024 10:48 |
| Last Modified: | 06 Feb 2024 10:48 |
| URI: | http://real.mtak.hu/id/eprint/187668 |
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