Elliptic and Parabolic Equations - Abstract

Kučera, Petr

Note on Navier--Stokes equations with non-Dirichlet boundary conditions

We solve a system of the Navier--Stokes equations for incompressible heat conducting fluid with mixed boundary conditions (of the Dirichlet or non-Dirichlet type on different parts of the boundary). We suppose that the viscosity of the fluid depends on the temperature.