Solvability of non-stationary equations of three-dimensional motion of a multicomponent viscous incompressible fluid
Solvability of non-stationary equations of three-dimensional motion of a multicomponent viscous incompressible fluid
(Russian, English abstract)
Siberian Electronic Mathematical Reports, 23, 2, pp. 877-889 (2026)
Abstract:
An initial-boundary value problem for three-dimensional equations of the dynamics of incompressible multicomponent media is considered. A local existence and uniqueness theorem for a time-strong solution is proved without restrictions on the structure of the viscosity matrix, except for the standard properties of symmetry and positivity.
Keywords: mixture of viscous fluids, incompressible viscous fluid, initial-boundary value problem, existence and uniqueness theorem.