Vanishing Viscosity Limit for the Compressible Navier-Stokes Equations with Non-Linear Density Dependent Viscosities
Abstract
Abstract In a three-dimensional bounded domain $$\Omega $$ 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.
Fields of Study & Subjects
Navier-Stokes equation solutions
Gas Dynamics and Kinetic Theory
Computational Fluid Dynamics and Aerodynamics
Publication details
- Journal / source
- Journal of Mathematical Fluid Mechanics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 28
- Issue
- 3
- Publication date
- 8 June 2026
- Language
- EN