Zero Viscosity Limit of Steady Compressible Shear Flow with Navier-Slip Boundary
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913381315772416 |
|---|---|
| author | Li, Wenbin Zhou, Chunhui |
| author_facet | Li, Wenbin Zhou, Chunhui |
| contents | We investigate the existence and the zero viscosity limit of steady compressible shear flow with Navier-slip boundary condition in the absence of any external force in a two-dimension domain $Ω=(0,L)\times(0,2)$. More precisely, under the assumption that the Mach number $η<\va^{\f12+}$ and $L\ll1$, we prove the existence of smooth solutions to steady compressible Naiver-Stokes equations near plane Poiseuille-Couette flow as well as the convergence of the solutions obtained above to the solutions of steady incompressible Euler equations when the viscous $\va$ tends to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04700 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Zero Viscosity Limit of Steady Compressible Shear Flow with Navier-Slip Boundary Li, Wenbin Zhou, Chunhui Analysis of PDEs We investigate the existence and the zero viscosity limit of steady compressible shear flow with Navier-slip boundary condition in the absence of any external force in a two-dimension domain $Ω=(0,L)\times(0,2)$. More precisely, under the assumption that the Mach number $η<\va^{\f12+}$ and $L\ll1$, we prove the existence of smooth solutions to steady compressible Naiver-Stokes equations near plane Poiseuille-Couette flow as well as the convergence of the solutions obtained above to the solutions of steady incompressible Euler equations when the viscous $\va$ tends to zero. |
| title | Zero Viscosity Limit of Steady Compressible Shear Flow with Navier-Slip Boundary |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.04700 |