Uniqueness of Weak Solutions to One-Dimensional Doubly Degenerate Cross-Diffusion System
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_ | 1866909454573764608 |
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| author | Chen, Xiuqing Du, Bang |
| author_facet | Chen, Xiuqing Du, Bang |
| contents | The uniqueness of global weak solutions to one-dimensional doubly degenerate cross-diffusion system is shown. The equations model the evolution of feeding bacterial populations in a malnourished environment. The key idea of the proof is applying anti-derivative of the sum of weak solutions to the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06821 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniqueness of Weak Solutions to One-Dimensional Doubly Degenerate Cross-Diffusion System Chen, Xiuqing Du, Bang Analysis of PDEs The uniqueness of global weak solutions to one-dimensional doubly degenerate cross-diffusion system is shown. The equations model the evolution of feeding bacterial populations in a malnourished environment. The key idea of the proof is applying anti-derivative of the sum of weak solutions to the system. |
| title | Uniqueness of Weak Solutions to One-Dimensional Doubly Degenerate Cross-Diffusion System |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.06821 |