Theoretical Analysis of Boundary Value Problems for Generalized Boussinesq Model of Mass Transfer with Variable Coefficients

A boundary value problem is formulated for a stationary model of mass transfer, which generalizes the Boussinesq approximation in case when coefficients equations can depend on concentration substance or spatial variables. The global existence weak solution this proved. Some fundamental properties its solutions are established. In particular, validity maximum principle substance’s has been Sufficient conditions input data under consideration, ensure local strong from space H2, and that conditional uniqueness with additional property smoothness