Regularity to stationary weak solutions in the theory of generalized Newtonian fluids with energy transfer
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Tome 271 (2000), pp. 122-150
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In this work we prove regularity results for weak solutions to some stationary problems arising in the theory of generalized Newtonian fluids with energy transfer. Namely, we prove that these solutions are strong. In two-dimensional case we prove the Hölder continuity of the first gradient of solutions.
@article{ZNSL_2000_271_a8,
author = {L. Consiglieri and T. N. Shilkin},
title = {Regularity to stationary weak solutions in the theory of generalized {Newtonian} fluids with energy transfer},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {122--150},
publisher = {mathdoc},
volume = {271},
year = {2000},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a8/}
}
TY - JOUR AU - L. Consiglieri AU - T. N. Shilkin TI - Regularity to stationary weak solutions in the theory of generalized Newtonian fluids with energy transfer JO - Zapiski Nauchnykh Seminarov POMI PY - 2000 SP - 122 EP - 150 VL - 271 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a8/ LA - en ID - ZNSL_2000_271_a8 ER -
%0 Journal Article %A L. Consiglieri %A T. N. Shilkin %T Regularity to stationary weak solutions in the theory of generalized Newtonian fluids with energy transfer %J Zapiski Nauchnykh Seminarov POMI %D 2000 %P 122-150 %V 271 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a8/ %G en %F ZNSL_2000_271_a8
L. Consiglieri; T. N. Shilkin. Regularity to stationary weak solutions in the theory of generalized Newtonian fluids with energy transfer. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Tome 271 (2000), pp. 122-150. http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a8/