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 …

In this semianalytical research, we present a new ansatz in solving the Störmer problem with
numerical findings in graphical representations of solutions where dynamics of the charged …

We study a boundary value problem for a mathematical model describing the nonisothermal
steady-state flow of a viscous fluid in a 3D (or 2D) bounded domain with locally Lipschitz …

In this paper, we investigate the solvability of a boundary value problem for a heat and mass
transfer model with the spatially averaged Rayleigh function. The considered model …

The purpose of the research is the study of a nonconstant gradient constrained problem for
nonlinear monotone operators. In particular, we study a stationary variational inequality …

In this paper, the electrokinetic energy conversion (EKEC) efficiency, streaming potential of
viscoelastic fluids in microtubes under an external transversal magnetic field, and an axial …

The present investigation analyzes the transient multilayer electro-osmotic flow through an
annular microchannel with hydrophobic walls. The fluids are considered immiscible and …

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 …

A new Weber-type integral transform and its inverse are defined for the representation of a
function f (r, t),(r, t)∈[R, 1]×[0,∞) that satisfies the Dirichlet and Robin-type boundary …

In this article, we investigate an optimal control problem for the coupled system of partial
differential equations describing the steady-state flow of a corotational-type Oldroyd fluid …