Stationary flows for viscous heat-conductive fluid in a perturbed half-space
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929550229766144 |
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| author | Li, Mingjie Suzuki, Masahiro Zhang, Katherine Zhiyuan |
| author_facet | Li, Mingjie Suzuki, Masahiro Zhang, Katherine Zhiyuan |
| contents | We consider the non-isentropic compressible Navier-Stokes equation in a perturbed half space with an outflow boundary condition as well as the supersonic condition. This equation models a compressible viscous, heat-conductive, and Newtonian polytropic fluid. We show the unique existence of stationary solutions for the perturbed half-space. The stationary solution constructed in this paper depends on all directions and has multidirectional flow. We also prove the asymptotic stability of this stationary solution. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_14511 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stationary flows for viscous heat-conductive fluid in a perturbed half-space Li, Mingjie Suzuki, Masahiro Zhang, Katherine Zhiyuan Analysis of PDEs We consider the non-isentropic compressible Navier-Stokes equation in a perturbed half space with an outflow boundary condition as well as the supersonic condition. This equation models a compressible viscous, heat-conductive, and Newtonian polytropic fluid. We show the unique existence of stationary solutions for the perturbed half-space. The stationary solution constructed in this paper depends on all directions and has multidirectional flow. We also prove the asymptotic stability of this stationary solution. |
| title | Stationary flows for viscous heat-conductive fluid in a perturbed half-space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.14511 |