Geodesic
On a~bounded shear flow in half-space
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 41, Tome 385 (2010), pp. 200-205

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In this paper we describe a simple shear flow in half-space which has interesting properties from the point of view of boundary regularity. It is a solution with bounded velocity field to both the homogeneous Stokes system and the Navier–Stokes equation, and satisfies the homogeneous initial and boundary conditions. The gradient of the solution can become unbounded near the boundary. The example significantly simplifies an earlier construction by K. Kang, and shows that the boundary estimates obtained in [3] are sharp. Bibl. 4 titles. 
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     author = {G. Seregin and V. Sverak},
     title = {On a~bounded shear flow in half-space},
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     pages = {200--205},
     publisher = {mathdoc},
     volume = {385},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_385_a8/}
}
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G. Seregin; V. Sverak. On a~bounded shear flow in half-space. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 41, Tome 385 (2010), pp. 200-205. http://geodesic.mathdoc.fr/item/ZNSL_2010_385_a8/