Vanishing viscosity limit for the compressible Navier-Stokes equations with non-linear density dependent viscosities
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910819558621184 |
|---|---|
| author | Bisconti, Luca Caggio, Matteo Dell'Oro, Filippo |
| author_facet | Bisconti, Luca Caggio, Matteo Dell'Oro, Filippo |
| contents | In a three-dimensional bounded domain $Ω$ we consider the compressible Navier-Stokes equations for a barotropic fluid with general non-linear density dependent viscosities and no-slip boundary conditions. A nonlinear drag term is added to the momentum equation. We establish two conditional Kato-type criteria for the convergence of the weak solutions to such a system towards the strong solution of the compressible Euler system when the viscosity coefficient and the drag term parameter tend to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17478 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vanishing viscosity limit for the compressible Navier-Stokes equations with non-linear density dependent viscosities Bisconti, Luca Caggio, Matteo Dell'Oro, Filippo Analysis of PDEs In a three-dimensional bounded domain $Ω$ we consider the compressible Navier-Stokes equations for a barotropic fluid with general non-linear density dependent viscosities and no-slip boundary conditions. A nonlinear drag term is added to the momentum equation. We establish two conditional Kato-type criteria for the convergence of the weak solutions to such a system towards the strong solution of the compressible Euler system when the viscosity coefficient and the drag term parameter tend to zero. |
| title | Vanishing viscosity limit for the compressible Navier-Stokes equations with non-linear density dependent viscosities |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.17478 |