The Pressureless Euler-Navier-Stokes System
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916754712690688 |
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| author | Lemarié, Valentin |
| author_facet | Lemarié, Valentin |
| contents | In this paper, we study the well-posedness of the pressureless Euler-Navier-Stokes system in $\mathbb{R}^d$ (with $d\geq 2$) in the critical regularity setting for a density close to $0$. We prove a global existence result for small data for this system, and then give optimal time decay estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_17577 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Pressureless Euler-Navier-Stokes System Lemarié, Valentin Analysis of PDEs In this paper, we study the well-posedness of the pressureless Euler-Navier-Stokes system in $\mathbb{R}^d$ (with $d\geq 2$) in the critical regularity setting for a density close to $0$. We prove a global existence result for small data for this system, and then give optimal time decay estimates. |
| title | The Pressureless Euler-Navier-Stokes System |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.17577 |