A Liouville type theorem is proven for the steady-state Navier-Stokes equations. It follows from the corresponding theorem on the Stokes equations with the drift. The drift is supposed to belong to a certain Morrey space.
@incollection{JEDP_2016____A9_0,
author = {Gregory Seregin},
title = {A {Liouville} type theorem for steady-state {Navier-Stokes} equations},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
note = {talk:9},
pages = {1--5},
publisher = {Groupement de recherche 2434 du CNRS},
year = {2016},
doi = {10.5802/jedp.650},
language = {en},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.650/}
}
TY - JOUR AU - Gregory Seregin TI - A Liouville type theorem for steady-state Navier-Stokes equations JO - Journées équations aux dérivées partielles N1 - talk:9 PY - 2016 SP - 1 EP - 5 PB - Groupement de recherche 2434 du CNRS UR - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.650/ DO - 10.5802/jedp.650 LA - en ID - JEDP_2016____A9_0 ER -
%0 Journal Article %A Gregory Seregin %T A Liouville type theorem for steady-state Navier-Stokes equations %J Journées équations aux dérivées partielles %Z talk:9 %D 2016 %P 1-5 %I Groupement de recherche 2434 du CNRS %U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.650/ %R 10.5802/jedp.650 %G en %F JEDP_2016____A9_0
Gregory Seregin. A Liouville type theorem for steady-state Navier-Stokes equations. Journées équations aux dérivées partielles (2016), Exposé no. 9, 5 p. doi : 10.5802/jedp.650. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.650/
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