Unfolding a Hidden Lagrangian Structure of a Class of Evolution Equations
It is shown that a simple modification of the standard Lagrangian underlying the dynamics of Newtonian lattices enables one to infer the hidden Lagrangian structure of certain classes of first order in time evolution equations which lack the conventional Lagrangian structure. Implication to other se...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/1/2 |
| _version_ | 1797446201378865152 |
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| author | Philip Rosenau |
| author_facet | Philip Rosenau |
| author_sort | Philip Rosenau |
| collection | DOAJ |
| description | It is shown that a simple modification of the standard Lagrangian underlying the dynamics of Newtonian lattices enables one to infer the hidden Lagrangian structure of certain classes of first order in time evolution equations which lack the conventional Lagrangian structure. Implication to other setups is outlined and exemplified. |
| first_indexed | 2024-03-09T13:36:51Z |
| format | Article |
| id | doaj.art-377fbdb1a84f4fc2b9c732f4a6691389 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T13:36:51Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-377fbdb1a84f4fc2b9c732f4a66913892023-11-30T21:10:55ZengMDPI AGAxioms2075-16802022-12-01121210.3390/axioms12010002Unfolding a Hidden Lagrangian Structure of a Class of Evolution EquationsPhilip Rosenau0School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, IsraelIt is shown that a simple modification of the standard Lagrangian underlying the dynamics of Newtonian lattices enables one to infer the hidden Lagrangian structure of certain classes of first order in time evolution equations which lack the conventional Lagrangian structure. Implication to other setups is outlined and exemplified.https://www.mdpi.com/2075-1680/12/1/2inverse variational problemLagrangiannon-linear dispersion PDE |
| spellingShingle | Philip Rosenau Unfolding a Hidden Lagrangian Structure of a Class of Evolution Equations Axioms inverse variational problem Lagrangian non-linear dispersion PDE |
| title | Unfolding a Hidden Lagrangian Structure of a Class of Evolution Equations |
| title_full | Unfolding a Hidden Lagrangian Structure of a Class of Evolution Equations |
| title_fullStr | Unfolding a Hidden Lagrangian Structure of a Class of Evolution Equations |
| title_full_unstemmed | Unfolding a Hidden Lagrangian Structure of a Class of Evolution Equations |
| title_short | Unfolding a Hidden Lagrangian Structure of a Class of Evolution Equations |
| title_sort | unfolding a hidden lagrangian structure of a class of evolution equations |
| topic | inverse variational problem Lagrangian non-linear dispersion PDE |
| url | https://www.mdpi.com/2075-1680/12/1/2 |
| work_keys_str_mv | AT philiprosenau unfoldingahiddenlagrangianstructureofaclassofevolutionequations |