Finite time singularities of smooth solutions for the 2D incompressible porous media (IPM) equation with a smooth source
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915150001340416 |
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| author | Córdoba, Diego Martínez-Zoroa, Luis |
| author_facet | Córdoba, Diego Martínez-Zoroa, Luis |
| contents | We establish the existence of smooth, finite-energy solutions to the 2D incompressible porous media equation (IPM), with a compactly supported uniformly smooth source, which develop singularities in finite time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22920 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite time singularities of smooth solutions for the 2D incompressible porous media (IPM) equation with a smooth source Córdoba, Diego Martínez-Zoroa, Luis Analysis of PDEs We establish the existence of smooth, finite-energy solutions to the 2D incompressible porous media equation (IPM), with a compactly supported uniformly smooth source, which develop singularities in finite time. |
| title | Finite time singularities of smooth solutions for the 2D incompressible porous media (IPM) equation with a smooth source |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.22920 |