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.
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
Keywords: non-Newtonian fluids; shear dependent viscosity; regularity; Hölder continuity of gradients
@article{CMUC_1997_38_4_a6,
author = {Kaplick\'y, Petr and M\'alek, Josef and Star\'a, Jana},
title = {Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {681--695},
year = {1997},
volume = {38},
number = {4},
mrnumber = {1603694},
zbl = {0946.76006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1997_38_4_a6/}
}
TY - JOUR AU - Kaplický, Petr AU - Málek, Josef AU - Stará, Jana TI - Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem JO - Commentationes Mathematicae Universitatis Carolinae PY - 1997 SP - 681 EP - 695 VL - 38 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_1997_38_4_a6/ LA - en ID - CMUC_1997_38_4_a6 ER -
%0 Journal Article %A Kaplický, Petr %A Málek, Josef %A Stará, Jana %T Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem %J Commentationes Mathematicae Universitatis Carolinae %D 1997 %P 681-695 %V 38 %N 4 %U http://geodesic.mathdoc.fr/item/CMUC_1997_38_4_a6/ %G en %F CMUC_1997_38_4_a6
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/