Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AA_2010_22_6_a10, author = {V. A. Solonnikov}, title = {On the linear problem arising in the study of a~free boundary problem for the {Navier--Stokes} equations}, journal = {Algebra i analiz}, pages = {235--269}, publisher = {mathdoc}, volume = {22}, number = {6}, year = {2010}, language = {en}, url = {http://geodesic.mathdoc.fr/item/AA_2010_22_6_a10/} }
TY - JOUR AU - V. A. Solonnikov TI - On the linear problem arising in the study of a~free boundary problem for the Navier--Stokes equations JO - Algebra i analiz PY - 2010 SP - 235 EP - 269 VL - 22 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AA_2010_22_6_a10/ LA - en ID - AA_2010_22_6_a10 ER -
V. A. Solonnikov. On the linear problem arising in the study of a~free boundary problem for the Navier--Stokes equations. Algebra i analiz, Tome 22 (2010) no. 6, pp. 235-269. http://geodesic.mathdoc.fr/item/AA_2010_22_6_a10/
[1] Solonnikov V. A., “Razreshimost zadachi ob evolyutsii izolirovannogo ob'ema vyazkoi neszhimaemoi kapillyarnoi zhidkosti”, Zap. nauch. semin. LOMI, 140, 1984, 179–186 | MR | Zbl
[2] Solonnikov V. A., “Ob odnoi nachalno-kraevoi zadache dlya sistemy Stoksa, voznikayuschei pri izuchenii zadachi so svobodnoi granitsei”, Tr. Mat. in-ta AN SSSR, 188, 1990, 150–188 | MR | Zbl
[3] Solonnikov V. A., “On the stability of uniformly rotating viscous incompressible self-gravitating liquid”, Zap. nauch. semin. POMI, 348, 2007, 165–208
[4] Solonnikov V. A., “On the problem of stability of equilibrium figures of uniformly rotating viscous incompressible liquid”, Instability in Models Connected with Fluid Flows, v. II, Int. Math. Ser. (N.Y.), 7, Springer, New York, 2008, 189–254 | MR
[5] Solonnikov V. A., “O liineinoi zadache, svyazannoi s ustoichivostyu ravnomerno vraschayuscheisya samogravitiruyuschei zhidkosti”, Probl. mat. anal., 35, Tamara Rozhkovskaya, Novosibirsk, 2007, 139–159 | MR
[6] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1968 | MR
[7] Agranovich M. S., Vishik M. I., “Ellipticheskie zadachi s parametrom i parabolicheskie zadachi obschego vida”, Uspekhi mat. nauk, 19:3 (1964), 53–161 | MR | Zbl
[8] Grubb G., Solonnikov V. A., “Boundary value problems for the nonstationary Navier–Stokes equations treated by pseudo-differential methods”, Math. Scand., 69 (1991), 217–290 (1992) | MR | Zbl
[9] Solonnikov V. A., On the stability of uniformly rotating viscous incompressible self-gravitating liquid, PDMI Preprint 03/2010, 101 pp.
[10] Beale J. T., Nishida T., “Large-time behavior of viscous surface waves”, Recent Topocs in Nonlinear PDE (Sendai, 1984), v. II, North-Holland Math. Stud., 128, North-Holland, Amsterdam, 1985, 1–14 | MR
[11] Slobodetskii L. N., “Obobschennye prostransta S. L. Soboleva i ikh prilozhenie k kraevym zadacham dlya differentsialnykh uravnenii v chastnykh proizvodnykh”, Uch. zap. Leningr. gos. ped. in-ta im. A. I. Gertsena, 197, 1958, 54–112
[12] Bogovskii M. E., “Reshenie nekotorykh zadach vektornogo analiza, svyazannykh s operatorami $div$ i $grad$”, Tr. Semin. S. L. Soboleva, 1, 1980, 5–40 | MR
[13] Solonnikov V. A., “Apriornye otsenki dlya uravnenii vtorogo poryadka parabolicheskogo tipa”, Tr. Mat. in-ta AN SSSR, 70, 1964, 133–212 | MR | Zbl
[14] Padula M., Solonnikov V. A., “O lokalnoi razreshimosti zadachi so svobodnoi granitsei dlya uravnenii Nave–Stoksa”, Probl. mat. anal., 50, Tamara Rozhkovskaya, Novosibirsk, 2010, 87–112