Weak-Strong Uniqueness for a Rigid Body Immersed in an Inviscid Compressible Fluid
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917310399250432 |
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| author | Li, Qianfeng Wiedemann, Emil |
| author_facet | Li, Qianfeng Wiedemann, Emil |
| contents | We consider the coupled motion of a free rigid body immersed in an inviscid compressible isentropic fluid. By means of a vanishing viscosity limit, we obtain the local-in-time existence of a dissipative measure-valued solution to the model. Moreover, we establish the weak-strong uniqueness property of the obtained measure-valued solution. To our knowledge, this is the first mathematical result on compressible inviscid fluid-structure interaction. The key novel technique is the construction of a suitable approximation of the test function in the weak formulation of the inviscid system, as the space of test functions depends on the viscosity parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03151 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weak-Strong Uniqueness for a Rigid Body Immersed in an Inviscid Compressible Fluid Li, Qianfeng Wiedemann, Emil Analysis of PDEs We consider the coupled motion of a free rigid body immersed in an inviscid compressible isentropic fluid. By means of a vanishing viscosity limit, we obtain the local-in-time existence of a dissipative measure-valued solution to the model. Moreover, we establish the weak-strong uniqueness property of the obtained measure-valued solution. To our knowledge, this is the first mathematical result on compressible inviscid fluid-structure interaction. The key novel technique is the construction of a suitable approximation of the test function in the weak formulation of the inviscid system, as the space of test functions depends on the viscosity parameter. |
| title | Weak-Strong Uniqueness for a Rigid Body Immersed in an Inviscid Compressible Fluid |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.03151 |