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@article{FAA_1995_29_2_a2, author = {S. A. Stepin}, title = {Nonself-adjoint {Friedrichs} {Model} in {Hydrodynamic} {Stability}}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {22--35}, publisher = {mathdoc}, volume = {29}, number = {2}, year = {1995}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1995_29_2_a2/} }
S. A. Stepin. Nonself-adjoint Friedrichs Model in Hydrodynamic Stability. Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 2, pp. 22-35. http://geodesic.mathdoc.fr/item/FAA_1995_29_2_a2/
[1] Rayleigh Strutt J. W., “On the stability, or instability, of certain fluid motions”, Proc. London Math. Soc., 11 (1880), 57–70 | DOI | MR
[2] Faddeev L. D., “K teorii ustoichivosti statsionarnykh ploskoparallelnykh techenii idealnoi zhidkosti”, Zap. nauchn. sem. LOMI, 21, 1971, 164–172 | MR | Zbl
[3] Fridrikhs K. O., Vozmuschenie spektra operatorov v gilbertovom prostranstve, Mir, M., 1969
[4] Ladyzhenskaya O. A., Faddeev L. D., “K teorii vozmuschenii nepreryvnogo spektra”, DAN SSSR, 120:6 (1958), 1187–1190 | MR | Zbl
[5] Faddeev L. D., “O modeli Fridrikhsa v teorii vozmuschenii nepreryvnogo spektra”, Trudy MIAN, 73, 1964, 292–313 | MR | Zbl
[6] Privalov I. I., Granichnye svoistva analiticheskikh funktsii, Fizmatgiz, M.-L., 1956
[7] Koddington E. A., Levinson N., Teoriya obyknovennykh differentsialnykh uravnenii, IL, M., 1958
[8] Howard L. N., “Note on a paper of John Miles”, J. Fluid Mech., 10:4 (1961), 509–512 | DOI | MR | Zbl
[9] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, Nauka, M., 1966 | MR | Zbl
[10] Dikii L. A., “Ustoichivost ploskoparallelnykh potokov idealnoi zhidkosti”, DAN SSSR, 135:5 (1960), 1068–1071 | Zbl
[11] Case K. M., “Stability of inviscid plane Couette flow”, Phys. Fluids, 3:2 (1960), 143–148 | DOI | MR
[12] Pavlov B. S., Petras C. V., “O singulyarnom spektre slabo vozmuschennogo operatora umnozheniya”, Funkts. analiz i ego pril., 4:2 (1970), 54–61 | MR | Zbl
[13] Naboko S. N., “O nesamosopryazhennoi modeli Fridrikhsa”, Zap. nauch. sem. LOMI, 39, 1974, 40–58 | MR | Zbl
[14] Stepin S. A., “O razlozhenii po sobstvennym funktsiyam nepreryvnogo spektra dlya uravneniya Releya”, Funkts. analiz i ego pril., 27:3 (1993), 87–89 | MR | Zbl
[15] Vazov V., Asimptoticheskie razlozheniya reshenii obyknovennykh differentsialnykh uravnenii, Mir, M., 1968
[16] Povzner A. Ya., “O razlozhenii po funktsiyam, yavlyayuschikhsya resheniem zadachi rasseyaniya”, DAN SSSR, 104:3 (1955), 360–363 | MR | Zbl
[17] Povzner A. Ya., “O razlozhenii funktsii po sobstvennym funktsiyam operatora $-\Delta u+cu$”, Matem. sb., 32(74):1 (1953), 107–156 | MR
[18] Birman M. Sh., Entina S. B., “Statsionarnyi podkhod v abstraktnoi teorii rasseyaniya”, Izv. AN SSSR, ser. matem., 31:2 (1967), 401–430 | MR | Zbl
[19] Birman M. Sh., “Zadachi rasseyaniya dlya differentsialnykh operatorov s postoyannymi koeffitsientami”, Funkts. analiz i ego pril., 3:3 (1969), 1–16 | MR | Zbl
[20] Yafaev D. R., Mathematical scattering theory, Transl. Math. Monographs, 105, Am. Math. Soc., 1992 | DOI | MR | Zbl
[21] Stepin S. A., “O zadache rasseyaniya dlya uravneniya Releya”, UMN, 48:4 (1993), 223