Geodesic
Modified gradient fastest descent method for solving linearized non-stationary Navier-Stokes equations
Ufa mathematical journal, Tome 5 (2013) no. 4, pp. 58-74 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Navier-Stokes equations, gradient method, regularization, apriori estimates. 
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I. I. Golichev. Modified gradient fastest descent method for solving linearized non-stationary Navier-Stokes equations. Ufa mathematical journal, Tome 5 (2013) no. 4, pp. 58-74. http://geodesic.mathdoc.fr/item/UFA_2013_5_4_a5/

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