Global existence and incompressible limit for the three-dimensional axisymmetric compressible Navier–Stokes equations with large bulk viscosity and large initial data
Abstract
Abstract In this paper, we study the three-dimensional axisymmetric compressible Navier–Stokes equations with slip boundary conditions in a cylindrical domain excluding the axis. We establish the global existence and exponential decay of weak, strong, and classical solutions with large initial data and vacuum, under the assumption that the bulk viscosity coefficient is sufficiently large. Moreover, we prove that as the bulk viscosity coefficient tends to infinity, the solutions of the compressible Navier–Stokes equations converge to those of the inhomogeneous incompressible Navier–Stokes equations.
Fields of Study & Subjects
Navier-Stokes equation solutions
Computational Fluid Dynamics and Aerodynamics
Gas Dynamics and Kinetic Theory
Publication details
- Journal / source
- Nonlinearity
- Volume
- 39
- Issue
- 7
- Pages
- 075002–075002
- Publication date
- 2 July 2026
- Language
- EN