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 $\Omega$. 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.
Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity / Luca Bisconti; Matteo Caggio. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 390:(2024), pp. 370-425. [10.1016/j.jde.2024.01.045]
Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity
Luca Bisconti;
2024
Abstract
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 $\Omega$. 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.File | Dimensione | Formato | |
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