In this paper, we present a review of featured works in the field of hydrodynamics with the
main aim to clarify the ways of understanding the algorithms for solving the Navier–Stokes …

The present review analyzes classes of exact solutions for the convection and thermal
diffusion equations in the Boussinesq approximation. The exact integration of the Oberbeck …

Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and
applying methods of generalized and functional separation of variables used to find exact …

A new class of exact solutions of nonlinear and linearized Navier–Stokes equations has
been proposed, which generalize the well-known family of exact solutions in which the …

This paper describes an overdetermined system of equations that describe three-
dimensional layered unsteady flows of a. viscous incompressible fluid at a. constant …

A new exact solution is obtained for the Oberbeck-Boussinesq equations describing the
steady-state layered (shear) Marangoni convection of a binary viscous incompressible fluid …

The paper considers an exact solution to the equations of thermal diffusion of a viscous
incompressible fluid in the Boussinesq approximation with neglect of the Dufour effect for a …

A new exact solution of the Oberbeck–Boussinesq equations has been presented which
describes the steady-state Marangoni convection of a vertical swirling liquid in the shear …

A new exact solution to the problem of Marangoni layered convection is obtained. This
solution describes a layered steady-state flow of a viscous incompressible fluid at varying …

This article discusses the solvability of an overdetermined system of heat convection
equations in the Boussinesq approximation. The Oberbeck-Boussinesq system of equations …