Existence of radially symmetric stationary solutions for viscous and Heat-conductive ideal Gas
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908436797587456 |
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| author | Hashimoto, Itsukoo Matsumura, Akitaka |
| author_facet | Hashimoto, Itsukoo Matsumura, Akitaka |
| contents | We consider the existence of radially symmetric stationary solutions of the compressible viscous and heat-conductive polytropic ideal fluid on the unbounded exterior domain of a sphere where the boundary and far-field conditions are prescribed. The unique existence of the stationary solution is shown for both inflow and outflow problems in a suitably small neighborhood of the far-field state. Estimates of the algebraic decay rate toward the far field state are also obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04234 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of radially symmetric stationary solutions for viscous and Heat-conductive ideal Gas Hashimoto, Itsukoo Matsumura, Akitaka Analysis of PDEs 35Q30, 76N10 G.1.8 We consider the existence of radially symmetric stationary solutions of the compressible viscous and heat-conductive polytropic ideal fluid on the unbounded exterior domain of a sphere where the boundary and far-field conditions are prescribed. The unique existence of the stationary solution is shown for both inflow and outflow problems in a suitably small neighborhood of the far-field state. Estimates of the algebraic decay rate toward the far field state are also obtained. |
| title | Existence of radially symmetric stationary solutions for viscous and Heat-conductive ideal Gas |
| topic | Analysis of PDEs 35Q30, 76N10 G.1.8 |
| url | https://arxiv.org/abs/2507.04234 |