Interior $C^{1,\alpha}$-Regularity of Weak Solutions to the Equations of Stationary Motions of Certain Non-Newtonian Fluids in Two Dimensions
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 317-340
In the present work we prove the interior Hölder continuity of the gradient matrix of any weak solution of equations, which describes the motion of non-Newtonian fluid in two dimensions, restricting ourself to the shear thinning case $1 q 2$.
@article{BUMI_2007_8_10B_2_a3,
author = {Wolf, Jorg},
title = {Interior $C^{1,\alpha}${-Regularity} of {Weak} {Solutions} to the {Equations} of {Stationary} {Motions} of {Certain} {Non-Newtonian} {Fluids} in {Two} {Dimensions}},
journal = {Bollettino della Unione matematica italiana},
pages = {317--340},
year = {2007},
volume = {Ser. 8, 10B},
number = {2},
zbl = {1140.76007},
mrnumber = {2339444},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a3/}
}
TY - JOUR
AU - Wolf, Jorg
TI - Interior $C^{1,\alpha}$-Regularity of Weak Solutions to the Equations of Stationary Motions of Certain Non-Newtonian Fluids in Two Dimensions
JO - Bollettino della Unione matematica italiana
PY - 2007
SP - 317
EP - 340
VL - 10B
IS - 2
UR - http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a3/
LA - en
ID - BUMI_2007_8_10B_2_a3
ER -
%0 Journal Article
%A Wolf, Jorg
%T Interior $C^{1,\alpha}$-Regularity of Weak Solutions to the Equations of Stationary Motions of Certain Non-Newtonian Fluids in Two Dimensions
%J Bollettino della Unione matematica italiana
%D 2007
%P 317-340
%V 10B
%N 2
%U http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a3/
%G en
%F BUMI_2007_8_10B_2_a3
Wolf, Jorg. Interior $C^{1,\alpha}$-Regularity of Weak Solutions to the Equations of Stationary Motions of Certain Non-Newtonian Fluids in Two Dimensions. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 317-340. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a3/