caa a22 4500 475740440 CHVBK 20180406123458.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1007/BF02674554 doi (NATIONALLICENCE)springer-10.1007/BF02674554 Mamontov A. M. A. Lavrent'ev Hydrodynamics Institute, Siberian Division of the Russian Academy of Sciences, USSR aut Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids [Elektronische Daten] [A. Mamontov] The present paper is devoted to the problem of global existence of sufficiently regular solutions to two- and three-dimensional equations of a compressible non-Newtonian fluid. In the case of the potential stress tensor, we develop a technique for deriving energy identities that do not contain derivatives of density. On the basis of these identities, in the case of sufficiently rapidly increasing potentials, we obtain an extended system ofa priori estimates for the equations mentioned above. We also study the related problem of estimating solutions to the nonlinear elliptic system generated by the stress tensor. Kluwer Academic/Plenum Publishers, 2000 global regularity nationallicence regular solution nationallicence multidimensional equations of compressible non-Newtonian fluids nationallicence potential stress tensor nationallicence energy identity nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/3(2000-09-01), 312-325 0001-4346 68:3<312 2000 68 11006 https://doi.org/10.1007/BF02674554 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02674554 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mamontov A. M. A. Lavrent'ev Hydrodynamics Institute, Siberian Division of the Russian Academy of Sciences, USSR aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/3(2000-09-01), 312-325 0001-4346 68:3<312 2000 68 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 475740440 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer