Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FAA_2009_43_3_a3, author = {V. V. Zhikov}, title = {New {Approach} to the {Solvability} of {Generalized} {Navier--Stokes} {Equations}}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {33--53}, publisher = {mathdoc}, volume = {43}, number = {3}, year = {2009}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_2009_43_3_a3/} }
V. V. Zhikov. New Approach to the Solvability of Generalized Navier--Stokes Equations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 3, pp. 33-53. http://geodesic.mathdoc.fr/item/FAA_2009_43_3_a3/
[1] O. A. Ladyzhenskaya, “O novykh uravneniyakh dlya opisaniya dvizhenii vyazkikh neszhimaemykh zhidkostei i razreshimosti v tselom dlya nikh kraevykh zadach”, Trudy MIAN, 102, 1967, 85–104 | Zbl
[2] Zh.-L. Lions, Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972 | MR | Zbl
[3] E. Hopf, “Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen”, Math. Nach., 4 (1950–1951), 213–231 | DOI | MR
[4] J. Leray, “Sur le mouvement d'un liquide visquex emplissant l'espace”, Acta Math., 63:1 (1934), 193–248 | DOI | MR | Zbl
[5] J. Málek, J. Nečas, M. Rokyta, M. Růžička, Weak and Measure-Valued Solutions to Evolutionary PDEs, Applied Mathematics and Mathematical Computation, 13, Chapman and Half, London, 1996 | MR | Zbl
[6] J. Málek, J. Nečas, M. Růžička, “On weak solution to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains. The case $p\ge 2$”, Adv. Differential Equations, 6:3 (2001), 257–302 | DOI | MR | Zbl
[7] M. Růžička, Electrorheological Fluids: Modeling and Mathematical Theory, Lecture Notes in Math., 1748, Springer-Verlag, Berlin–New York, 2000 | MR
[8] O. A. Ladyzhenskaya, V. A. Solonnikov, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967 | MR
[9] P. Billingsli, Skhodimost veroyatnostnykh mer, Nauka, M., 1977 | MR
[10] I. Ekland, R. Temam, Vypuklyi analiz i variatsionnye zadachi, Mir, M., 1979 | MR
[11] V. V. Zhikov, “Razreshimost trekhmernoi zadachi o termistore”, Trudy MIRAN, 261, 2008, 101–114 | MR
[12] B. M. Levitan, V. V. Zhikov, Pochti-periodicheskie funktsii i differentsialnye uravneniya, izd-vo MGU, M., 1978 | MR | Zbl
[13] R. Temam, Uravneniya Nave–Stoksa, Mir, M., 1981 | MR | Zbl
[14] V. V. Zhikov, “K tekhnike predelnogo perekhoda v nelineinykh ellipticheskikh uravneniyakh”, Dokl. RAN, 420:3 (2008), 300–305 | MR | Zbl
[15] V. V. Zhikov, “K tekhnike predelnogo perekhoda v nelineinykh ellipticheskikh uravneniyakh”, Funkts. analiz i ego pril., 43:2 (2009), 19–38 | DOI | MR
[16] M. E. Bogovskii, “Reshenie pervoi kraevoi zadachi dlya uravneniya nerazryvnosti neszhimaemoi sredy”, Dokl. AN SSSR, 248 (1979), 1037–1040 | MR
[17] N. Danford, Dzh. T. Shvarts, Lineinye operatory. Obschaya teoriya, IL, M., 1962