This book primarily concerns quasilinear and semilinear elliptic and parabolic partial
differential equations, inequalities, and systems. The exposition leads the reader through the …

In the present paper, we shall consider a nonlinear thermoconvection problem consisting of
a coupled system of nonlinear partial differential equations due to temperature dependent …

The Boussinesq system coupled by an energy dissipation brings new challenges in the
study of global existence of solutions, for instance, this system does not have scale …

This paper is concerned with the equations of non‐stationary motion in 3D of heat‐
conducting incompressible viscous fluids with temperature‐dependent viscosity. The …

We devise 3-field and 4-field finite element approximations of a system describing the
steady state of an incompressible heat-conducting fluid with implicit non-Newtonian …

In this paper, we study the existence and uniqueness of solutions to the initial‐boundary‐
value problem for time‐dependent flows of heat‐conducting incompressible fluids through …

This paper presents results on solvability of multidimensional systems of equations of
thermoviscoelasticity. Both compressible and incompressible continua are considered. The …

This paper deals with a boundary value problem (BVP) describing the 3D steady non-
isothermal flow of a micropolar fluid (with couple stresses) in a bounded vessel. The …

We study an initial-boundary-value problem for time-dependent flows of heat-conducting
viscous incompressible fluids in channel-like domains on a time interval (0, T). For the …

The study of heat and mass transfer in a Hele-Shaw cell rotating around a perpendicular
axis has various advanced technological applications. These include the design of …