DMV-strong uniqueness principle for the compressible Navier-Stokes system with potential temperature transport
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866911705496289280 |
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| author | Lukáčová-Medvid'ová, Mária Schömer, Andreas |
| author_facet | Lukáčová-Medvid'ová, Mária Schömer, Andreas |
| contents | We establish a DMV-strong uniqueness result for the compressible Navier-Stokes system with potential temperature transport. The concept of generalized, the so-called dissipative measure-valued (DMV), solutions was proposed in [7], where their global-in-time existence was proved. Here we show that strong solutions are stable in the class of DMV solutions. More precisely, a DMV solution coincides with a strong solution emanating from the same initial data as long as the strong solution exists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_12812 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | DMV-strong uniqueness principle for the compressible Navier-Stokes system with potential temperature transport Lukáčová-Medvid'ová, Mária Schömer, Andreas Analysis of PDEs Numerical Analysis We establish a DMV-strong uniqueness result for the compressible Navier-Stokes system with potential temperature transport. The concept of generalized, the so-called dissipative measure-valued (DMV), solutions was proposed in [7], where their global-in-time existence was proved. Here we show that strong solutions are stable in the class of DMV solutions. More precisely, a DMV solution coincides with a strong solution emanating from the same initial data as long as the strong solution exists. |
| title | DMV-strong uniqueness principle for the compressible Navier-Stokes system with potential temperature transport |
| topic | Analysis of PDEs Numerical Analysis |
| url | https://arxiv.org/abs/2106.12812 |