Boundary-value problems for heat and mass transfer equations with homogeneous velocity boundary conditions
Dalʹnevostočnyj matematičeskij žurnal, Tome 3 (2002) no. 1, pp. 24-33.

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

This paper deal with the boundary-value problem for the stationary heat and mass transfer equations with homogeneous non-standard boundary conditions for the velocity and mixed boundary conditions for the temperature and concentration. The global existence theorem is proved. The precise a priori estimates for the solution are derived.
@article{DVMG_2002_3_1_a2,
     author = {D. A. Tereshko},
     title = {Boundary-value problems for heat and mass transfer equations with homogeneous velocity boundary conditions},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {24--33},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2002_3_1_a2/}
}
TY  - JOUR
AU  - D. A. Tereshko
TI  - Boundary-value problems for heat and mass transfer equations with homogeneous velocity boundary conditions
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2002
SP  - 24
EP  - 33
VL  - 3
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2002_3_1_a2/
LA  - ru
ID  - DVMG_2002_3_1_a2
ER  - 
%0 Journal Article
%A D. A. Tereshko
%T Boundary-value problems for heat and mass transfer equations with homogeneous velocity boundary conditions
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2002
%P 24-33
%V 3
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2002_3_1_a2/
%G ru
%F DVMG_2002_3_1_a2
D. A. Tereshko. Boundary-value problems for heat and mass transfer equations with homogeneous velocity boundary conditions. Dalʹnevostočnyj matematičeskij žurnal, Tome 3 (2002) no. 1, pp. 24-33. http://geodesic.mathdoc.fr/item/DVMG_2002_3_1_a2/

[1] A. V. Kazhikhov, “Razreshimost nekotorykh odnostoronnikh kraevykh zadach dlya uravnenii Nave-Stoksa”, Dinamika sploshnoi sredy, 16, IG SO AN SSSR, Novosibirsk, 1974, 5–34

[2] V. V. Ragulin, “K zadache o protekanii vyazkoi zhidkosti skvoz ogranichennuyu oblast pri zadannom perepade davleniya ili napora”, Dinamika sploshnoi sredy, 16, IG SO AN SSSR, Novosibirsk, 1976, 78–92 | MR

[3] O. Pironneau, “Conditions aux limites sur la pression pour les équations de Stokes et de Navier-Stokes”, C. R. Acad. Sci., 303:1 (1986), 403–406 | MR | Zbl

[4] C. Bègue, C. Conca, F. Murat and O. Pironneau, “A nouveau sur les équations de Stokes et de Navier-Stokes avec des conditions aux limites sur la pression”, C. R. Acad. Sci., 304:1 (1987), 23–28, Paris | MR

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

[6] G. V. Alekseev and D. A. Tereshko, “On solvability of inverse extremal problem for stationary equations of viscous heat conducting fluid”, J. Inverse Ill-Posed Probl., 6 (1998), 521–562 | DOI | MR | Zbl

[7] G. V. Alekseev, D. A. Tereshko, “Statsionarnye zadachi optimalnogo upravleniya dlya uravnenii gidrodinamiki vyazkoi teploprovodnoi zhidkosti”, Sib. zhurn. industrialnoi matem., 1:2 (1998), 24–44 | MR | Zbl

[8] G. V. Alekseev, D. A. Tereshko, Obratnye ekstremalnye zadachi dlya statsionarnykh uravnenii teplovoi konvektsii II, Preprint No 30 IPM DVO RAN, Dalnauka, Vladivostok, 1998

[9] G. V. Alekseev, A. B. Smyshlyaev, Razreshimost neodnorodnykh kraevykh zadach dlya statsionarnykh uravnenii gidrodinamiki vyazkoi teploprovodnoi zhidkosti, Preprint No 6 IPM DVO RAN, Dalnauka, Vladivostok, 1999

[10] G. V. Alekseev and A. B. Smishliaev, “Solvability of the boundary-value problems for the Boussinesq equations with inhomogeneous boundary conditions”, J. Math. Fluid Mech., 3:1 (2001), 18–39 | DOI | MR | Zbl

[11] V. Girault and P. A. Raviart, Finite element methods for Navier-Stokes equations, Theory and algorithms, Springer-Verlag, Berlin, 1986 | MR | Zbl

[12] G. V. Alekseev, A. B. Smyshlyaev, D. A. Tereshko, Neodnorodnye kraevye zadachi dlya statsionarnykh uravnenii teplomassoperenosa, Preprint No 19 IPM DVO RAN, Dalnauka, Vladivostok, 2000