The Navier-Stokes equations are the basic equations from fluid mechanics. Their applications range from gaseous stars over atmospheric flows to blood vessels. This lecture provides the introduction to their mathematical theory including the following topics:
- Physical derivation of the Navier-Stokes equations
- Function spaces of fluid mechanics
- Existence and regularity theory for the steady Stokes equations
- Existence and regularity theory for the steady Navier-Stokes equations
- Existence theory for the unsteady Navier-Stokes equations |
