Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two
In this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application, we show that the presence of a small obstacl...
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| Format: | Article |
| Publication date: | 2024 |
| Country: | España |
| Institution: | Universidad de Cantabria (UC) |
| Repository: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Language: | English |
| OAI Identifier: | oai:repositorio.unican.es:10902/39345 |
| Online Access: | https://hdl.handle.net/10902/39345 |
| Access Level: | Open access |
| Keyword: | Fluid mechanics Compressible Navier–Stokes Homogenization Obstacle problem |
| Summary: | In this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application, we show that the presence of a small obstacle does not influence the dynamics of a viscous compressible fluid in dimension two. |
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