Global large strong solutions to the compressible Navier-Stokes equations with density-dependent viscosities, case I: isentropic flows
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909281603813376 |
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| author | Huang, Xiangdi Li, Jiaxu Zhang, Rong |
| author_facet | Huang, Xiangdi Li, Jiaxu Zhang, Rong |
| contents | In this paper, we consider the Cauchy problem for the three-dimensional barotropic compressible Navier-Stokes equations with density-dependent viscosities. By considering the system as an elliptic-dominated structure and defining suitable energy functionals, after the elaborate index analysis, we establish the global existence of strong solutions as long as the initial data is large enough. This is a big contrast to the classical results where the initial data is a small perturbation of some resting states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04305 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global large strong solutions to the compressible Navier-Stokes equations with density-dependent viscosities, case I: isentropic flows Huang, Xiangdi Li, Jiaxu Zhang, Rong Analysis of PDEs 35Q30, 76N10 In this paper, we consider the Cauchy problem for the three-dimensional barotropic compressible Navier-Stokes equations with density-dependent viscosities. By considering the system as an elliptic-dominated structure and defining suitable energy functionals, after the elaborate index analysis, we establish the global existence of strong solutions as long as the initial data is large enough. This is a big contrast to the classical results where the initial data is a small perturbation of some resting states. |
| title | Global large strong solutions to the compressible Navier-Stokes equations with density-dependent viscosities, case I: isentropic flows |
| topic | Analysis of PDEs 35Q30, 76N10 |
| url | https://arxiv.org/abs/2408.04305 |