Some nonlocal problems for the modified Navier--Stokes equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 22, Tome 188 (1991), pp. 105-127

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The following nonlocal problems for three-dimensional modified Navier–Stokes equations (3) and (4) are studied: global classical solvability on the semiaxis $t\in\mathbb{R}^+$ initial boundary-value problems (3), (5) and (4), (5); global existence theorems of time periodic solutions of equations (3) and equations (4) with time periodic external force $f$.
@article{ZNSL_1991_188_a4,
     author = {A. P. Oskolkov and R. D. Shadiev},
     title = {Some nonlocal problems for the modified {Navier--Stokes} equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {105--127},
     publisher = {mathdoc},
     volume = {188},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_188_a4/}
}
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A. P. Oskolkov; R. D. Shadiev. Some nonlocal problems for the modified Navier--Stokes equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 22, Tome 188 (1991), pp. 105-127. http://geodesic.mathdoc.fr/item/ZNSL_1991_188_a4/