论文标题

具有密度粘度的可压缩Navier-Stokes方程的无粘性极限

Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity

论文作者

Bisconti, Luca, Caggio, Matteo

论文摘要

我们考虑了可压缩的Navier-Stokes系统,描述了限制在三维有限域$ω$的密度粘度的压缩流体的运动。当粘度和阻尼系数倾向于零时,我们显示了弱溶液与可压缩液压系统对可压缩欧拉系统的强溶液的收敛性。

We consider the compressible Navier-Stokes system describing the motion of a barotropic fluid with density dependent viscosity confined in a three-dimensional bounded domain $Ω$. We show the convergence of the weak solution to the compressible Navier-Stokes system to the strong solution to the compressible Euler system when the viscosity and the damping coefficients tend to zero.

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