Special Session 26: 

STRONG SOLUTIONS OF THE NAVIER-STOKES EQUATIONS WITH VARIOUS TYPES OF BOUNDARY CONDITIONS

Petr Kucera
Czech Academy of Sciences
Czech Rep
Co-Author(s):    
Abstract:
We solve systems of the Navier-Stokes equations with various types of boundary conditions, e.g., no-slip boundary conditions, boundary conditions of Navier`s type and Navier`s boundary conditions. We study some properties of strong solutions to these systems, e.g., regularity, local in time existence of strong solutions and robustness. We present criterion for local in time existence of strong solutions to the system of the Navier-Stokes equations with Navier`s boundary conditions.