Stabilní tekutiny ve vnějších oblastech

This thesis deals with Stokes and Navier-Stokes descriptions of flow of steady fluids in exterior domain and mainly focuses on presenting Liouville-like results for both cases. Firstly, we introduce the concept of weak derivative and spaces of appropriate functions. Following that, we talk about Stokes flow of incompressible fluids in R2 . We define a notion of a weak solution and we prove the Stokes paradox for generalized solutions in two-dimensional case, which is the main focus of this thesis. In the final chapter we then investigate the Navier- Stokes formulation where we again derive a notion of a weak solution. Last but not least, we present the Liouville property for generalized solution to the Navier-Stokes equations in R3 obeying certain restrictions