Nonself-adjoint Friedrichs Model in Hydrodynamic Stability
Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 2, pp. 22-35.

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

@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/}
}
TY  - JOUR
AU  - S. A. Stepin
TI  - Nonself-adjoint Friedrichs Model in Hydrodynamic Stability
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1995
SP  - 22
EP  - 35
VL  - 29
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1995_29_2_a2/
LA  - ru
ID  - FAA_1995_29_2_a2
ER  - 
%0 Journal Article
%A S. A. Stepin
%T Nonself-adjoint Friedrichs Model in Hydrodynamic Stability
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1995
%P 22-35
%V 29
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1995_29_2_a2/
%G ru
%F 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