|
|
|
References
|
|
|
1. |
V. V. Shelukhin, “Bingham Viscoplastic as a Limit of Non-Newtonian Fluids”, J. Math. Fluid Mechanic, 4:2 (2002), 109–127 |
2. |
G. Dyuvo, Zh.-L. Lions, Neravenstva v mekhanike i fizike, Nauka, M., 1980 |
3. |
J. U. Kim, “On the Initial-Boundary Value Problem for a Bingham Fluid in a Three Dimensional Domain”, Trans. Amer. Math. Soc., 304:2 (1987), 751–770 |
4. |
G. A. Seregin, “O dinamicheskoi sisteme, porozhdennoi dvumernymi uravneniyami dvizheniya sredy Bingama”, Zap. nauchn. sem. LOMI, 188, 1991, 128–142 |
5. |
J. L. Lions, Optimal control of systems governed by partial differential equations, Springer, Berlin, 1971 |
6. |
F. Abergel, R. Temam, “On Some Control Problems in Fluid Mechanics”, Theor. Comput. Fluid Dyn., 1:6 (1990), 303–325 |
7. |
M. D. Gunzburger, L. Hou, T. P. Svobodny, “Boundary velocity control of incompressible flow with an application to viscous drag reduction”, SIAM J. Control Optim., 30:1 (1992), 167–181 |
8. |
A. V. Fursikov, Optimalnoe upravlenie raspredelennymi sistemami. Teoriya i prilozheniya, Universitetskaya seriya, 5, Nauchnaya kniga, Novosibirsk, 1999 |
9. |
H. Choi, R. Temam, P. Moin, J. Kim, “Feedback control for unsteady flow and its application to Burgers equation”, J. Fluid Mech., 253 (1993), 509–543 |
10. |
V. V. Obukhovskii, P. Zecca, V. G. Zvyagin, “Optimal feedback control in the problem of the motion of a viscoelastic fluid”, Topological Methods in Nonlinear Analysis, 23:2 (2004), 323–337 |
11. |
V. G. Zvyagin, M. V. Turbin, “Optimal Feedback Control in the Mathematical Model of Low Concentrated Agueous Polymer Solutions”, J. Optimization Theory and Applications, 148:1 (2011), 146–163 |
12. |
V. G. Zvyagin, M. Yu. Kuz'min, “On an optimal control problem in the Voight model of the motion of a viscoelastic fluid”, J. Math. Sci., 149:5 (2008), 1618–1627 |
13. |
V. Zvyagin, V. Obukhovskii, A. Zvyagin, “On inclusions with multivalued operators and their applications to some optimization problems”, J. Fixed Point Theory and Applications, 16 (2014), 27–82 |
14. |
A. V. Zvyagin, “Zadacha optimalnogo upravleniya s obratnoi svyazyu dlya matematicheskoi modeli dvizheniya slabo kontsentrirovannykh vodnykh polimernykh rastvorov s ob'ektivnoi proizvodnoi”, Sib. matem. zhurnal, 54:4 (2013), 807—825 |
15. |
A. V. Zvyagin, “Optimalnoe upravlenie s obratnoi svyazyu dlya termovyazkouprugoi modeli dvizheniya zhidkosti Foigta”, Dokl. Akademii Nauk, 468:3 (2016), 251–253 |
16. |
M. A. Krasnoselskii, P. P. Zabreiko, P. E. Sobolevskii, E. I. Pustylnik, Integralnye operatory v prostranstvakh summiruemykh funktsii, Nauka, M., 1970 |
17. |
R. Temam, “Navier-Stokes equations and nonlinear functional analysis”, CBM-NSF Regional Conference Series in Applied Mathematics, Philadelphia, Pennsylvania, 1983 |
18. |
V. G. Zvyagin, “Topological Approximation Approach to Study of Mathematical Problems of Hydrodynamics”, J. Math. Sci., 201:6 (2014), 830–858 |
19. |
V. G. Zvyagin, M. V. Turbin, Matematicheskie voprosy gidrodinamiki vyazkouprugikh sred, KRASAND, M., 2012 |
20. |
J. L. Lions, E. Magenes, Problemès aux limites non homogènes et applications, v. 1, Dunod, Paris, 1968 |
21. |
R. Temam, Uravneniya Nave-Stoksa. Teoriya i chislennyi analiz, Mir, M., 1987 |