Stability of Superposition of Viscous Contact Wave and Rarefaction Waves for Compressible Navier-Stokes System with Degenerate Heat-Conductivity and Large-Data
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915659521196032 |
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| author | Liu, Manyu |
| author_facet | Liu, Manyu |
| contents | This paper is concerned with the large-time behavior of solutions for the compressible Navier-Stokes system with degenerate heat-conductivity describing the one-dimensional motion of a viscous heat-conducting perfect polytropic gas. We proved that for the one-dimensional compressible system with temperature-dependent heat conductivity, the combination of viscous contact wave with rarefaction waves for the non-isentropic polytropic gas is asymptotically stable under large initial perturbation, provided the strength of the combination waves is suitably small. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06861 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of Superposition of Viscous Contact Wave and Rarefaction Waves for Compressible Navier-Stokes System with Degenerate Heat-Conductivity and Large-Data Liu, Manyu Analysis of PDEs This paper is concerned with the large-time behavior of solutions for the compressible Navier-Stokes system with degenerate heat-conductivity describing the one-dimensional motion of a viscous heat-conducting perfect polytropic gas. We proved that for the one-dimensional compressible system with temperature-dependent heat conductivity, the combination of viscous contact wave with rarefaction waves for the non-isentropic polytropic gas is asymptotically stable under large initial perturbation, provided the strength of the combination waves is suitably small. |
| title | Stability of Superposition of Viscous Contact Wave and Rarefaction Waves for Compressible Navier-Stokes System with Degenerate Heat-Conductivity and Large-Data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.06861 |