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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.03039 |
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| _version_ | 1866916115545849856 |
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| author | Jiménez, V. M. |
| author_facet | Jiménez, V. M. |
| contents | In Continuum Mechanic a simple material body $\mathcal{B}$ is represeted by a three-dimensional differentiable manifold and the configuration space is given by the space of embeddings $Emb \left( \mathcal{B} , \mathbb{R}^{n} \right)$. We use the topology of infinite-dimensional manifold of this space, to present the first variation formula for Lagrangian mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03039 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Notes on Lagrangian continuum mechanics Jiménez, V. M. Mathematical Physics 70H03, 37N15 In Continuum Mechanic a simple material body $\mathcal{B}$ is represeted by a three-dimensional differentiable manifold and the configuration space is given by the space of embeddings $Emb \left( \mathcal{B} , \mathbb{R}^{n} \right)$. We use the topology of infinite-dimensional manifold of this space, to present the first variation formula for Lagrangian mechanics. |
| title | Notes on Lagrangian continuum mechanics |
| topic | Mathematical Physics 70H03, 37N15 |
| url | https://arxiv.org/abs/2402.03039 |