We present a new exact solution of the thermal diffusion equations for steady-state shear
flows of a binary fluid. Shear fluid flows are used in modeling and simulating large-scale …

We study an optimal control problem for the mathematical model that describes steady non-
isothermal creeping flows of an incompressible fluid through a locally Lipschitz bounded …

We consider the problem of the optimal start control for two-dimensional Boussinesq
equations describing non-isothermal flows of a viscous fluid in a bounded domain. Using the …

The article proposes several classes of exact solutions to the Oberbeck–Boussinesq
equations to describe convective flows of micropolar fluids. The possibility of using families …

We analyze an optimal boundary control problem for heat convection equations in a three‐
dimensional domain, with mixed boundary conditions. We prove the existence of optimal …

Certain classes of optimal boundary control problems for the Boussinesq equations with
variable density are studied. Controls for the velocity vector and temperature are applied on …

We study a distributed optimal control problem for a three-dimensional Navier-Stokes-α
model. We prove the solvability of the optimal control, derive first-order necessary optimality …

Herein, we mainly employ the fixed point theorem and Lax-Milgram theorem in functional
analysis to prove the existence and uniqueness of generalized and mixed finite element …

Рассматривается задача оптимального стартового управления для двумерных
уравнений Буссинеска, описывающих неизотермические течения вязкой жидкости в …

We study a mathematical model describing steady creeping flows of a non-uniformly heated
incompressible fluid through a bounded 3D domain with locally Lipschitz boundary. The …