Geodesic
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

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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},
     publisher = {mathdoc},
     volume = {Ser. 8, 10B},
     number = {2},
     year = {2007},
     zbl = {1140.76007},
     mrnumber = {2339444},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a3/}
}
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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/