Stability of planar rarefaction waves in the vanishing dissipation limit of the Navier-Stokes-Fourier system
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913316713005056 |
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| author | Feireisl, Eduard Neves, Wladimir |
| author_facet | Feireisl, Eduard Neves, Wladimir |
| contents | We consider the vanishing dissipation limit of the compressible Navier-Stokes-Fourier system, where the initial data approach a profile generating a planar rarefaction wave for the limit Euler system. We show that the associated weak solutions converge unconditionally to the planar rarefaction wave strongly in the energy norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10604 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of planar rarefaction waves in the vanishing dissipation limit of the Navier-Stokes-Fourier system Feireisl, Eduard Neves, Wladimir Analysis of PDEs 35Q35, 76N10, 76N06 We consider the vanishing dissipation limit of the compressible Navier-Stokes-Fourier system, where the initial data approach a profile generating a planar rarefaction wave for the limit Euler system. We show that the associated weak solutions converge unconditionally to the planar rarefaction wave strongly in the energy norm. |
| title | Stability of planar rarefaction waves in the vanishing dissipation limit of the Navier-Stokes-Fourier system |
| topic | Analysis of PDEs 35Q35, 76N10, 76N06 |
| url | https://arxiv.org/abs/2404.10604 |