Geodesic
Liouville theorem for 2D Navier–Stokes equations in half space
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 44, Tome 425 (2014), pp. 137-148 
G. Seregin. Liouville theorem for 2D Navier–Stokes equations in half space. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 44, Tome 425 (2014), pp. 137-148. http://geodesic.mathdoc.fr/item/ZNSL_2014_425_a8/
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     author = {G. Seregin},
     title = {Liouville theorem for {2D} {Navier{\textendash}Stokes} equations in half space},
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     year = {2014},
     volume = {425},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_425_a8/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A Liouville type theorem for mild bounded ancient solutions to the Navier–Stokes system in a half plane has been proven provided that a certain scale invariant quantity is bounded.

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