Geodesic
Исследование одного класса задач управления для стационарных уравнений Навье--Стокса при смешанных граничных условиях
Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 2, pp. 17-26.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{SJIM_2009_12_2_a1,
     author = {R. V. Brizitskii},
     title = {{\CYRI}{\cyrs}{\cyrs}{\cyrl}{\cyre}{\cyrd}{\cyro}{\cyrv}{\cyra}{\cyrn}{\cyri}{\cyre} {\cyro}{\cyrd}{\cyrn}{\cyro}{\cyrg}{\cyro} {\cyrk}{\cyrl}{\cyra}{\cyrs}{\cyrs}{\cyra} {\cyrz}{\cyra}{\cyrd}{\cyra}{\cyrch} {\cyru}{\cyrp}{\cyrr}{\cyra}{\cyrv}{\cyrl}{\cyre}{\cyrn}{\cyri}{\cyrya} {\cyrd}{\cyrl}{\cyrya} {\cyrs}{\cyrt}{\cyra}{\cyrc}{\cyri}{\cyro}{\cyrn}{\cyra}{\cyrr}{\cyrn}{\cyrery}{\cyrh} {\cyru}{\cyrr}{\cyra}{\cyrv}{\cyrn}{\cyre}{\cyrn}{\cyri}{\cyrishrt} {{\CYRN}{\cyra}{\cyrv}{\cyrsftsn}{\cyre}--{\CYRS}{\cyrt}{\cyro}{\cyrk}{\cyrs}{\cyra}} {\cyrp}{\cyrr}{\cyri} {\cyrs}{\cyrm}{\cyre}{\cyrsh}{\cyra}{\cyrn}{\cyrn}{\cyrery}{\cyrh} {\cyrg}{\cyrr}{\cyra}{\cyrn}{\cyri}{\cyrch}{\cyrn}{\cyrery}{\cyrh} {\cyru}{\cyrs}{\cyrl}{\cyro}{\cyrv}{\cyri}{\cyrya}{\cyrh}},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {17--26},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2009_12_2_a1/}
}
TY  - JOUR
AU  - R. V. Brizitskii
TI  - Исследование одного класса задач управления для стационарных уравнений Навье--Стокса при смешанных граничных условиях
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2009
SP  - 17
EP  - 26
VL  - 12
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2009_12_2_a1/
LA  - ru
ID  - SJIM_2009_12_2_a1
ER  - 
%0 Journal Article
%A R. V. Brizitskii
%T Исследование одного класса задач управления для стационарных уравнений Навье--Стокса при смешанных граничных условиях
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2009
%P 17-26
%V 12
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2009_12_2_a1/
%G ru
%F SJIM_2009_12_2_a1
R. V. Brizitskii. Исследование одного класса задач управления для стационарных уравнений Навье--Стокса при смешанных граничных условиях. Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 2, pp. 17-26. http://geodesic.mathdoc.fr/item/SJIM_2009_12_2_a1/

[1] Fursikov A. V., “Svoistva reshenii nekotorykh ekstremalnykh zadach, svyazannykh s sistemoi Nave–Stoksa”, Mat. sb., 118(160):3 (1982), 323–349 | MR | Zbl

[2] Alekseev G. V., Malikin V. V., “Numerical analysis of optimal boundary control problems for Navier–Stokes equations”, Comp. Fluid Dynamics J., 3:1 (1994), 1–26 | DOI

[3] Desai M., Ito K., “Optimal control of Navier–Stokes equations”, SIAM J. Control Optim., 32:5 (1994), 1428–1446 | DOI | MR | Zbl

[4] Chebotarev A. Yu., “Granichnye ekstremalnye zadachi dinamiki vyazkoi neszhimaemoi zhidkosti”, Sib. mat. zhurn., 34:5 (1993), 202–213 | MR | Zbl

[5] Gunzburger M. D, Hou L., Svobodny T. P., “Heating and cooling control of temperature distributions along boundaries of flow domains”, J. Math. Systems Estim. Control., 3 (1993), 147–172 | MR

[6] Ito K., “Boundary temperature control for thermally coupled Navier–Stokes equations”, Internat. Ser. Numer. Math., 118 (1994), 211–230 | MR | Zbl

[7] Lee Hyung-Chun, Imanuvilov O. Yu., “Analysis of Neumann boundary optimal control problems for the stationary Boussinesq equations including solidmedia”, SIAM J. Control Optim., 39 (2000), 457–477 | DOI | MR | Zbl

[8] Alekseev G. V., “Razreshimost obratnykh ekstremalnykh zadach dlya statsionarnykh uravnenii teplomassoperenosa”, Sib. mat. zhurn., 42:5 (2001), 971–991 | MR | Zbl

[9] Alekseev G. V., Brizitskii R. V., “Razreshimost obratnykh ekstremalnykh zadach dlya statsionarnykh uravnenii magnitnoi gidrodinamiki vyazkoi zhidkosti so smeshannymi granichnymi usloviyami”, Dalnevost. mat. zhurn., 4:1 (2003), 108–126

[10] Brizitskii R. V., “O regulyarnosti i edinstvennosti reshenii zadach upravleniya dlya statsionarnykh uravnenii MGD vyazkoi zhidkosti so smeshannymi granichnymi usloviyami”, Dalnevost. mat. zhurn., 4:2 (2003), 264–275

[11] Alekseev G. V., Brizitskii R. V., “Zadachi upravleniya dlya statsionarnykh uravnenii magnitnoi gidrodinamiki vyazkoi teploprovodnoi zhidkosti so smeshannymi granichnymi usloviyami”, Zhurn. vychisl. matematiki i mat. fiziki, 45:12 (2005), 2131–2147 | MR | Zbl

[12] Alekseev G. V., “Zadachi upravleniya dlya statsionarnoi modeli magnitnoi gidrodinamiki vyazkoi teploprovodnoi zhidkosti”, Uspekhi mekhaniki, 2006, no. 2, 66–116

[13] Alekseev G. V., “Koeffitsientnye obratnye ekstremalnye zadachi dlya statsionarnykh uravnenii teplomassoperenosa”, Zhurn. vychisl. matematiki i mat. fiziki, 47:6 (2007), 1055–1076

[14] Alekseev G. V., Tereshko D. A., Analiz i optimizatsiya v gidrodinamike vyazkoi zhidkosti, Dalnauka, Vladivostok, 2008

[15] Conca C., Murat F., Pironneau O., “The Stokes and Navier–Stokes equations with boundary conditions involving the pressure”, Japan J. Math., 20 (1994), 279–318 | MR | Zbl

[16] Girault V., Raviart P. A., Finite Element Methods for Navier–Stokes Equations. Theory and Algorithms, Springer-Verl., Berlin, 1986 | MR | Zbl

[17] Ioffe A. D., Tikhomirov V. M., Teoriya ekstremalnykh zadach, Nauka, M., 1974 | MR | Zbl

[18] Sea Zh., Optimizatsiya. Teoriya i algoritmy, Mir, M., 1973