Abstract:
We introduce a regularization of
Navier-Stokes equations, whose solution coincides with the solution to the system of
Navier-Stokes equations if the latter exists. The regularized
nonlinear system is reduced to solving a sequence of
linearized systems. To solve the latter system, we employ the
gradient method. We construct and justify a modified method of
fastest descent, which may be employed under
restrictions on the control and an unbounded Lebesgue set.
Fulltext:
PDF file (454 kB)
