Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 4, pp. 681-695.

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We prove the existence of regular solution to a system of nonlinear equations describing the steady motions of a certain class of non-Newtonian fluids in two dimensions. The equations are completed by requirement that all functions are periodic.
Classification : 35D10, 35J65, 35Q35, 76A05, 76F10
Keywords: non-Newtonian fluids; shear dependent viscosity; regularity; Hölder continuity of gradients
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     title = {Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem},
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Kaplický, Petr; Málek, Josef; Stará, Jana. Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 4, pp. 681-695. http://geodesic.mathdoc.fr/item/CMUC_1997__38_4_a6/