Jiří Neustupa
MÚ AV ČR, Praha

A weak solution of the non-steady Navier-Stokes equations in domains with moving boundaries
Abstract: 1. A weak formulation of the problem with no-slip or slip boundary conditions.
2. Necessary conditions for the existence of a weak solution in the case when two parts of the boundary strike themselves.
3. The time-discretization of the initial-boundary value problem, construction of Rothe aproximations.
4. Convergence of the approximations, existence of a weak solution.
5. Examples of some concrete geometries.