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.
@article{118966, author = {Petr Kaplick\'y and Josef M\'alek and Jana Star\'a}, title = {Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {38}, year = {1997}, pages = {681-695}, zbl = {0946.76006}, mrnumber = {1603694}, language = {en}, url = {http://dml.mathdoc.fr/item/118966} }
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) pp. 681-695. http://gdmltest.u-ga.fr/item/118966/
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