Jacobi equation for field theories and a geometric variational description of dissipation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914140135620608 |
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| author | de Diego, David Martin Mosadegh, Najma |
| author_facet | de Diego, David Martin Mosadegh, Najma |
| contents | In this paper we give a geometric description of the Jacobi equations associated to a first-order Lagrangian field theory using a prolongation of the Lagrangian $L$ on a $k$-cosymplectic formulation. Moreover, using an appropriate modification of the prolonged Lagrangian, we obtain a variational formulation of field theories with dissipation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03800 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Jacobi equation for field theories and a geometric variational description of dissipation de Diego, David Martin Mosadegh, Najma Mathematical Physics Differential Geometry 53D42, 70S05 In this paper we give a geometric description of the Jacobi equations associated to a first-order Lagrangian field theory using a prolongation of the Lagrangian $L$ on a $k$-cosymplectic formulation. Moreover, using an appropriate modification of the prolonged Lagrangian, we obtain a variational formulation of field theories with dissipation. |
| title | Jacobi equation for field theories and a geometric variational description of dissipation |
| topic | Mathematical Physics Differential Geometry 53D42, 70S05 |
| url | https://arxiv.org/abs/2511.03800 |