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 .
Si dimostra l'hölderianità di equazioni degenerate, che descrivono il moto di un fluido incomprimibile non- newtoniano in due dimensioni, sotto condizioni usuali di monotonia e di andamento all'infinito di ordine ().
@article{BUMI_2007_8_10B_2_317_0, author = {Jorg Wolf}, 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 dell'Unione Matematica Italiana}, volume = {10-A}, year = {2007}, pages = {317-340}, zbl = {1140.76007}, mrnumber = {2339444}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_2_317_0} }
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 dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 317-340. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_2_317_0/
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