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 …

The De Gruyter Studies in Mathematical Physics are devoted to the publication of
monographs and high-level texts in mathematical physics. They cover topics and methods in …

A new class of exact solutions has been obtained for three-dimensional equations of themal
diffusion in a viscous incompressible liquid. This class enables the description of the …

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 …

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 …

A new exact solution of the equations of free convection has been constructed in the
framework of the Oberbeck–Boussinesq approximation of the Navier–Stokes equations. The …

This paper describes full solutions of the energy and Navier–Stokes equations in the
approximate form of Boussinesq. The advective fluid layer flowing within parallel horizontal …

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 …

Получен новый класс точных решений трехмерных уравнений термодиффузии вязкой
несжимае мой жидкости. Данный класс позволяет описывать распределение …

The flows of two fluids (or of a liquid and gas) filled with infinite horizontal layers with a
thermocapillary interface are considered. Study of flows caused by impact of various forces …