Entropy in Exact 2D Navier–Stokes and 3D Burgers Gas Flows
Abstract
Two exact solutions are constructed for viscous compressible gas dynamics in two and three dimensions. The first is a steady vortex, with explicit solutions for the full Navier-Stokes system of velocity, density, temperature and pressure. In contrast, the second is a time-dependent radial solution to the 3D vector Burgers' equation, with a constant injection rate from a spherical interior surface. That solution is shock-like at low Reynolds numbers. In both cases, expressions are given for the local density of entropy production.
Fields of Study & Subjects
Fluid Dynamics and Turbulent Flows
Navier-Stokes equation solutions
Fluid dynamics and aerodynamics studies
Publication details
- Journal / source
- Entropy
- Volume
- 28
- Issue
- 2
- Pages
- 178–178
- Publication date
- 3 February 2026
- Language
- EN