Insight in thermally radiative cilia-driven flow of electrically conducting non-Newtonian Jeffrey fluid under the influence of induced magnetic field

F Ishtiaq, R Ellahi, MM Bhatti, SZ Alamri - Mathematics, 2022 - mdpi.com
This paper investigates the mobility of cilia in a non-uniform tapered channel in the presence
of an induced magnetic field and heat transfer. Thermal radiation effects are included in the …

Heat and mass transfer analysis of MHD Jeffrey fluid over a vertical plate with CPC fractional derivative

S Abbas, M Nazar, ZU Nisa, M Amjad, SME Din… - Symmetry, 2022 - mdpi.com
Free convection flow of non-Newtonian fluids over flat, heated surfaces is an important
natural phenomenon that also occurs in human-made engineering processes under various …

Strong solutions of the incompressible Navier–Stokes–Voigt model

ES Baranovskii - Mathematics, 2020 - mdpi.com
This paper deals with an initial-boundary value problem for the Navier–Stokes–Voigt
equations describing unsteady flows of an incompressible non-Newtonian fluid. We give the …

Analytical solutions of upper convected Maxwell fluid with exponential dependence of viscosity under the influence of pressure

C Fetecau, D Vieru, T Abbas, R Ellahi - Mathematics, 2021 - mdpi.com
Some unsteady motions of incompressible upper-convected Maxwell (UCM) fluids with
exponential dependence of viscosity on the pressure are analytically studied. The fluid …

Model for aqueous polymer solutions with damping term: Solvability and vanishing relaxation limit

ES Baranovskii, MA Artemov - Polymers, 2022 - mdpi.com
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 …

Solvability of the Boussinesq approximation for water polymer solutions

MA Artemov, ES Baranovskii - Mathematics, 2019 - mdpi.com
We consider nonlinear Boussinesq-type equations that model the heat transfer and steady
viscous flows of weakly concentrated water solutions of polymers in a bounded three …

Symmetric and non-symmetric flows of Burgers' fluids through porous media between parallel plates

C Fetecau, D Vieru - Symmetry, 2021 - mdpi.com
Unidirectional unsteady flows of the incompressible Burgers' fluids between two infinite
horizontal parallel plates are analytically studied when the magnetic and porous effects are …

Well-Posedness for Nonlinear Parabolic Stochastic Differential Equations with Nonlinear Robin Conditions

M Mohammed - Symmetry, 2022 - mdpi.com
In this paper, we present the existence and uniqueness of strong probabilistic solutions for
nonlinear parabolic Stochastic Partial Differential Equations (SPDEs) with nonlinear Robin …

The Navier–Stokes–Voigt equations with position-dependent slip boundary conditions

ES Baranovskii - Zeitschrift für angewandte Mathematik und Physik, 2023 - Springer
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 …

Multiplicative Control Problem for the Stationary Mass Transfer Model with Variable Coefficients

ES Baranovskii, RV Brizitskii, ZY Saritskaia - Applied Mathematics & …, 2024 - Springer
The global existence of a weak solution of a mixed boundary value problem for the
stationary mass transfer equations with variable coefficients is proved. The maximum and …