Separable motions for self-gravitating hyperelastic matter
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909634753724416 |
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| author | Jang, Juhi Leslie, Trevor M. |
| author_facet | Jang, Juhi Leslie, Trevor M. |
| contents | In this paper, we prove the existence of separable solutions to the equations of motion for self-gravitating hyperelastic matter, under an appropriate class of constitutive assumptions on the strain-energy function. Our framework includes both global-in-time solutions which expand and also solutions which collapse to a point in finite time. Other authors have constructed expanding solutions in similar settings, but to the best of our knowledge, the collapsing solutions we construct are completely new. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02278 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Separable motions for self-gravitating hyperelastic matter Jang, Juhi Leslie, Trevor M. Analysis of PDEs In this paper, we prove the existence of separable solutions to the equations of motion for self-gravitating hyperelastic matter, under an appropriate class of constitutive assumptions on the strain-energy function. Our framework includes both global-in-time solutions which expand and also solutions which collapse to a point in finite time. Other authors have constructed expanding solutions in similar settings, but to the best of our knowledge, the collapsing solutions we construct are completely new. |
| title | Separable motions for self-gravitating hyperelastic matter |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.02278 |