On the Fredholm property for the steady Navier--Stokes equations in weighted H\"older spaces
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 5, pp. 659-662
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We prove that the steady Navier–Stokes equations induce a Fredholm non-linear map on the scale of Hölder spaces weighted at the infinity.
Keywords:
steady Navier–Stokes Equations, non-linear Fredholm operators, weighted Hölder spaces.
@article{JSFU_2018_11_5_a14,
author = {Andrei A. Parfenov and Alexander A. Shlapunov},
title = {On the {Fredholm} property for the steady {Navier--Stokes} equations in weighted {H\"older} spaces},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {659--662},
publisher = {mathdoc},
volume = {11},
number = {5},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_5_a14/}
}
TY - JOUR AU - Andrei A. Parfenov AU - Alexander A. Shlapunov TI - On the Fredholm property for the steady Navier--Stokes equations in weighted H\"older spaces JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2018 SP - 659 EP - 662 VL - 11 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2018_11_5_a14/ LA - en ID - JSFU_2018_11_5_a14 ER -
%0 Journal Article %A Andrei A. Parfenov %A Alexander A. Shlapunov %T On the Fredholm property for the steady Navier--Stokes equations in weighted H\"older spaces %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2018 %P 659-662 %V 11 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2018_11_5_a14/ %G en %F JSFU_2018_11_5_a14
Andrei A. Parfenov; Alexander A. Shlapunov. On the Fredholm property for the steady Navier--Stokes equations in weighted H\"older spaces. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 5, pp. 659-662. http://geodesic.mathdoc.fr/item/JSFU_2018_11_5_a14/