Weak solutions for a singular beam equation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910452812873728 |
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| author | Atlasiuk, Olena Heibig, Arnaud Petrov, Adrien |
| author_facet | Atlasiuk, Olena Heibig, Arnaud Petrov, Adrien |
| contents | This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11369 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak solutions for a singular beam equation Atlasiuk, Olena Heibig, Arnaud Petrov, Adrien Analysis of PDEs 35B45, 35Q74, 74H20, 74K10, 74M15. 35B45, 35Q74, 74H20, 74K10, 74M15. 35B45, 35Q74, 74H20, 74K10, 74M15 This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems. |
| title | Weak solutions for a singular beam equation |
| topic | Analysis of PDEs 35B45, 35Q74, 74H20, 74K10, 74M15. 35B45, 35Q74, 74H20, 74K10, 74M15. 35B45, 35Q74, 74H20, 74K10, 74M15 |
| url | https://arxiv.org/abs/2405.11369 |