The classical Smagorinsky model's solution is an approximation to a (resolved) mean
velocity. Since it is an eddy viscosity model, it cannot represent a flow of energy from …

The article investigates the inverse problem for a complete, inhomogeneous, higher-order
Sobolev type equation, together with the Cauchy and overdetermination conditions. This …

The main aim of this paper is to investigate the solvability of the steady-state flow model for
low-concentrated aqueous polymer solutions with a damping term in a bounded domain …

In the present paper, we study weak solvability of the optimal feedback control problem for
the inhomogeneous Voigt fluid motion model. The proof is based on the approximation …

In this paper, we consider an inverse problem of finding a coefficient of right hand side of the
following system of Kelvin–Voigt equations perturbed by an isotropic diffusion and damping …

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 study a modular Crank-Nicolson based Voigt regularization algorithm for the Navier-
Stokes equations. This algorithm adds a minimally intrusive module that not only implements …

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 …

We consider an initial-boundary value problem for the Navier–Stokes–Voigt equations with
a general position-dependent Navier-type slip boundary condition, which is formulated in …

A stationary heat transfer model generalizing the Boussinesq approximation is considered.
For the corresponding boundary value problem the property of a global existence of its weak …