Variational Inequalities for Navier–Stokes Type Operators and One-Sided Problems for Equations of Viscous Heat-Conducting Fluids

We study a class of stationary variational inequalities for Navier–Stokes type operators that can be used to represent problems with nonlinear boundary conditions for equations of motion of viscous fluids. The main result (the solvability theorem) is used for studying one-sided boundary-value problems for equations of heat convection of viscous fluids.