Weak-strong uniqueness and low Mach number limit for a viscous compressible fluid around a rotating body
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911742305501184 |
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| author | Eiter, Thomas Nečasová, Šárka Oschmann, Florian |
| author_facet | Eiter, Thomas Nečasová, Šárka Oschmann, Florian |
| contents | We study the flow of an isothermal compressible Newtonian fluid around a body that performs a (time-independent) rigid motion. We derive a weak-strong uniqueness principle, and show that in the low Mach number limit, the governing equation is well approximated by the Navier-Stokes equations for incompressible rotating flow. Both results are based on the derivation of a relative energy inequality for weak solutions to this exterior-domain problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_02517 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weak-strong uniqueness and low Mach number limit for a viscous compressible fluid around a rotating body Eiter, Thomas Nečasová, Šárka Oschmann, Florian Analysis of PDEs 76N06, 76N10, 76U05, 76D05 We study the flow of an isothermal compressible Newtonian fluid around a body that performs a (time-independent) rigid motion. We derive a weak-strong uniqueness principle, and show that in the low Mach number limit, the governing equation is well approximated by the Navier-Stokes equations for incompressible rotating flow. Both results are based on the derivation of a relative energy inequality for weak solutions to this exterior-domain problem. |
| title | Weak-strong uniqueness and low Mach number limit for a viscous compressible fluid around a rotating body |
| topic | Analysis of PDEs 76N06, 76N10, 76U05, 76D05 |
| url | https://arxiv.org/abs/2606.02517 |