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| Main Author: | |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1912.04054 |
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| _version_ | 1866929638255624192 |
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| author | Raske, David |
| author_facet | Raske, David |
| contents | In this paper we prove large-time existence and uniqueness of high regularity weak solutions to some initial/boundary value problems involving a nonlinear fourth order wave equation. These sorts of problems arise naturally in the study of vibrations in beams that are hinged at both ends. The method used to prove large-time existence is the Galerkin approximation method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_04054 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Hinged beam dynamics Raske, David Analysis of PDEs 35L35 In this paper we prove large-time existence and uniqueness of high regularity weak solutions to some initial/boundary value problems involving a nonlinear fourth order wave equation. These sorts of problems arise naturally in the study of vibrations in beams that are hinged at both ends. The method used to prove large-time existence is the Galerkin approximation method. |
| title | Hinged beam dynamics |
| topic | Analysis of PDEs 35L35 |
| url | https://arxiv.org/abs/1912.04054 |