On type I blow up for the Navier--Stokes equations near the boundary
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 47, Tome 477 (2018), pp. 136-149
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For suitable weak solutions to the Navier–Stokes equations a new sufficient condition for the uniform boundeness of the scale invariant energy functionals near a boundary point is established.
@article{ZNSL_2018_477_a8,
author = {M. Chernobay},
title = {On type {I} blow up for the {Navier--Stokes} equations near the boundary},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {136--149},
publisher = {mathdoc},
volume = {477},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_477_a8/}
}
M. Chernobay. On type I blow up for the Navier--Stokes equations near the boundary. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 47, Tome 477 (2018), pp. 136-149. http://geodesic.mathdoc.fr/item/ZNSL_2018_477_a8/