Zero Viscosity Limit of Steady Compressible Shear Flow with Navier-Slip Boundary
| Autor: | Li, Wenbin, Zhou, Chunhui |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 $\Omega=(0,L)\times(0,2)$. More precisely, under the assumption that the Mach number $\eta<\va^{\f12+}$ 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. Comment: 40 pages |
| Databáze: | arXiv |
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