@article{SEMR_2012_9_a30,
author = {E. S. Baranovskii},
title = {Solvability of the {Stationary} {Optimal} {Control} {Problem} for {Motion} {Equations} of {Second} {Grade} {Fluids}},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {554--560},
year = {2012},
volume = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SEMR_2012_9_a30/}
}
TY - JOUR AU - E. S. Baranovskii TI - Solvability of the Stationary Optimal Control Problem for Motion Equations of Second Grade Fluids JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2012 SP - 554 EP - 560 VL - 9 UR - http://geodesic.mathdoc.fr/item/SEMR_2012_9_a30/ LA - ru ID - SEMR_2012_9_a30 ER -
E. S. Baranovskii. Solvability of the Stationary Optimal Control Problem for Motion Equations of Second Grade Fluids. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 554-560. http://geodesic.mathdoc.fr/item/SEMR_2012_9_a30/
[1] R. S. Rivlin, J. L. Ericksen, “Stress deformation relations for isotropic materials”, J. Rational Mech. Anal., 4 (1955), 322–425 | MR
[2] D. Cioranescu, E. H. Ouazar, “Existence and uniqueness for fluids of second grade”, Research Notes in Mathematics, 109, 1984, 308–340 | MR
[3] V. Coscia, G. P. Galdi, “Existence, uniqueness, and stability of regular steady motions of a second grade fluid”, Int. J. Non-Linear Mech., 29 (1994), 493–506 | DOI | MR | Zbl
[4] C. le Roux, “Existence and uniqueness of the flow of second-grade fluids with slip boundary conditions”, Arch. Rational Mech. Anal., 148 (1999), 309–356 | DOI | MR | Zbl
[5] R. V. Goldshtein, V. A. Gorodtsov, Mekhanika sploshnykh sred, v. I, Nauka. Fizmatlit, Moskva, 2000
[6] J. E. Dunn, R. L. Fosdick, “Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade”, Arch. Rational Mech. Anal., 56 (1974), 191–252 | DOI | MR | Zbl
[7] R. A. Adams, J. J. F. Fournier, Sobolev spaces, 2 ed., Elsevier, 2003 | MR
[8] A. V. Fursikov, Optimalnoe upravlenie raspredelennymi sistemami. Teoriya i prilozheniya, Nauchnaya kniga, Novosibirsk, 1999