We consider an optimal control problem for non-isothermal steady flows of low-concentrated
aqueous polymer solutions in a bounded 3D domain. In this problem, the state functions are …

Riga surface can be utilized to reduce the pressure drag and the friction of the submarine by
stopping the separation of the boundary layer as well as by moderating turbulence …

A boundary value problem is formulated for a stationary model of mass transfer, which
generalizes the Boussinesq approximation in the case when the coefficients in the model …

This paper deals with a 3D mathematical model for the non-isothermal steady-state flow of
an incompressible fluid with temperature-dependent viscosity in a pipeline network. Using …

This article examines a natural convection viscous unsteady fluid flowing on an oscillating
infinite inclined plate. The Newtonian heating effect, slip effect on the boundary wall, and …

The solvability of optimal control problems is proved on both weak and strong solutions of a
boundary value problem for the nonlinear reaction–diffusion–convection equation with …

New exact solutions to the three-dimensional Navier–Stokes equations, which take into
account energy dissipation in the equation of heat transfer in a moving fluid, are presented …

We consider the new boundary value problem for the generalized Boussinesq model of heat
transfer under the inhomogeneous Dirichlet boundary condition for the velocity and under …

The global solvability of the boundary value problem for the nonlinear mass transfer
equations is proved under inhomogeneous Dirichlet boundary conditions for the velocity …

We prove the existence of continuous weak solutions of the nonlinear equations describing
steady-state flows of second-grade fluids in a bounded three-dimensional domain under the …