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1
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0000441467
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The flow of a perfect, incompressible liquid through a given region
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English
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V.I. Yudovich, "The flow of a perfect, incompressible liquid through a given region," Sov. Phys. Dokl. 7, 789-791 (1963) (English); "A two-dimensional nonstationary problem of the flowing of an ideal incompressible fluid through the given domain," Mat. Sb. 64, 562-588 (1964) (Russian).
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(1963)
Sov. Phys. Dokl.
, vol.7
, pp. 789-791
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-
Yudovich, V.I.1
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2
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-
0001053022
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A two-dimensional nonstationary problem of the flowing of an ideal incompressible fluid through the given domain
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Russian
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V.I. Yudovich, "The flow of a perfect, incompressible liquid through a given region," Sov. Phys. Dokl. 7, 789-791 (1963) (English); "A two-dimensional nonstationary problem of the flowing of an ideal incompressible fluid through the given domain," Mat. Sb. 64, 562-588 (1964) (Russian).
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(1964)
Mat. Sb.
, vol.64
, pp. 562-588
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-
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3
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0002771146
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On an a priori estimate in the theory of hydrodynamical stability
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Russian
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V.I. Arnold, "On an a priori estimate in the theory of hydrodynamical stability," Izv. Vyssh. Uchebn. Zaved., Matematika 5, 3-5 (1966) (Russian); English translation in Am. Math. Soc. Trans., II 79, 267-269 (1969); "Sur la geometry differentielle des groupes de Lie de dimension infinite et ses applications a l'hidrodynamique des fluids parfaits," Ann. Inst. Fourier XVI, 319-361 (1966).
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(1966)
Izv. Vyssh. Uchebn. Zaved., Matematika
, vol.5
, pp. 3-5
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Arnold, V.I.1
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4
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0000945983
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English translation
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V.I. Arnold, "On an a priori estimate in the theory of hydrodynamical stability," Izv. Vyssh. Uchebn. Zaved., Matematika 5, 3-5 (1966) (Russian); English translation in Am. Math. Soc. Trans., II 79, 267-269 (1969); "Sur la geometry differentielle des groupes de Lie de dimension infinite et ses applications a l'hidrodynamique des fluids parfaits," Ann. Inst. Fourier XVI, 319-361 (1966).
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(1969)
Am. Math. Soc. Trans., II
, vol.79
, pp. 267-269
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-
-
5
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0001356905
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Sur la geometry differentielle des groupes de Lie de dimension infinite et ses applications a l'hidrodynamique des fluids parfaits
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V.I. Arnold, "On an a priori estimate in the theory of hydrodynamical stability," Izv. Vyssh. Uchebn. Zaved., Matematika 5, 3-5 (1966) (Russian); English translation in Am. Math. Soc. Trans., II 79, 267-269 (1969); "Sur la geometry differentielle des groupes de Lie de dimension infinite et ses applications a l'hidrodynamique des fluids parfaits," Ann. Inst. Fourier XVI, 319-361 (1966).
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(1966)
Ann. Inst. Fourier
, vol.16
, pp. 319-361
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-
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8
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0002716749
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On the loss of smoothness of the solutions to the Euler equations
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Russian
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V.I. Yudovich, "On the loss of smoothness of the solutions to the Euler equations," Dynamika Spolshnoy Sredi (Novosibirsk) 16, 71-78 (1974) (Russian); "On the loss of smoothness of the solutions to the Euler equations and the inherent instability of an ideal fluid flows," Chaos 10, 705-719 (2000).
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(1974)
Dynamika Spolshnoy Sredi (Novosibirsk)
, vol.16
, pp. 71-78
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Yudovich, V.I.1
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9
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0345801447
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On the loss of smoothness of the solutions to the Euler equations and the inherent instability of an ideal fluid flows
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V.I. Yudovich, "On the loss of smoothness of the solutions to the Euler equations," Dynamika Spolshnoy Sredi (Novosibirsk) 16, 71-78 (1974) (Russian); "On the loss of smoothness of the solutions to the Euler equations and the inherent instability of an ideal fluid flows," Chaos 10, 705-719 (2000).
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(2000)
Chaos
, vol.10
, pp. 705-719
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-
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10
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0007122387
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Notes on the three dimensional flow pattern of an ideal fluid in the presence of small perturbation of the initial velocity field
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Russian
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V.I. Arnold, "Notes on the three dimensional flow pattern of an ideal fluid in the presence of small perturbation of the initial velocity field," Appl. Math. Mech. 36, 255-262 (1972) (Russian).
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(1972)
Appl. Math. Mech.
, vol.36
, pp. 255-262
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Arnold, V.I.1
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11
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84958282713
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Asymptotic stability of a steady flow of an ideal incompressible fluid through a permeable domain
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to be published
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A.B. Morgulis and V.I. Yudovich, "Asymptotic stability of a steady flow of an ideal incompressible fluid through a permeable domain," Syberian Math. J. (to be published).
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Syberian Math. J.
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Morgulis, A.B.1
Yudovich, V.I.2
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12
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0035540874
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Asymptotic stability of a steady flow of an ideal incompressible fluid through a permeable domain
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English
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A.B. Morgulis and V.I. Yudovich, "Asymptotic stability of a steady flow of an ideal incompressible fluid through a permeable domain," Dokl. Phys. 46, 736-739 (2001) (English); Dokl. Akad. Nauk 380, 623-626 (2001) (Russian).
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(2001)
Dokl. Phys.
, vol.46
, pp. 736-739
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Morgulis, A.B.1
Yudovich, V.I.2
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13
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0035775624
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Russian
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A.B. Morgulis and V.I. Yudovich, "Asymptotic stability of a steady flow of an ideal incompressible fluid through a permeable domain," Dokl. Phys. 46, 736-739 (2001) (English); Dokl. Akad. Nauk 380, 623-626 (2001) (Russian).
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(2001)
Dokl. Akad. Nauk
, vol.380
, pp. 623-626
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-
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14
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0005219255
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On the existence theorem in hydrodynamics
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Russian
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N.E. Kochin, "On the existence theorem in hydrodynamics," Prikl. Mat. Mekh. 20, 5-28 (1975) (Russian).
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(1975)
Prikl. Mat. Mekh.
, vol.20
, pp. 5-28
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Kochin, N.E.1
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15
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0005232208
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An axisymmetrical boundary value problem for the equation of motion of an ideal incompressible fluid
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Russian
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M.R. Uhovskii, "An axisymmetrical boundary value problem for the equation of motion of an ideal incompressible fluid," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 3, 3-12 (1967) (Russian); Fluid Dyn. 2, 1-6 (1971).
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(1967)
Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza
, vol.3
, pp. 3-12
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Uhovskii, M.R.1
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16
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85000322426
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M.R. Uhovskii, "An axisymmetrical boundary value problem for the equation of motion of an ideal incompressible fluid," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 3, 3-12 (1967) (Russian); Fluid Dyn. 2, 1-6 (1971).
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(1971)
Fluid Dyn.
, vol.2
, pp. 1-6
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18
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84979119241
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On local solvability of the three dimensional boundary value problem for the equations of ideal fluid passing through the domain
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Russian
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V. Zajachkovskij, "On local solvability of the three dimensional boundary value problem for the equations of ideal fluid passing through the domain," Zapiski Nauchnikh Seminarov LOMI 96, 39-56 (1980) (Russian).
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(1980)
Zapiski Nauchnikh Seminarov LOMI
, vol.96
, pp. 39-56
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Zajachkovskij, V.1
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19
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0000830184
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Note on the formulation of the problem of flow through a bounded region using equations of perfect fluid
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Russian, English
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A.V. Kazhikhov, "Note on the formulation of the problem of flow through a bounded region using equations of perfect fluid," J. Appl. Math. Mech. 44, 672-674 (1981) (Russian, English); translation from Prikl. Mat. Mekh. 44, 947-949 (1980).
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(1981)
J. Appl. Math. Mech.
, vol.44
, pp. 672-674
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Kazhikhov, A.V.1
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20
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0000830184
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-
translation from
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A.V. Kazhikhov, "Note on the formulation of the problem of flow through a bounded region using equations of perfect fluid," J. Appl. Math. Mech. 44, 672-674 (1981) (Russian, English); translation from Prikl. Mat. Mekh. 44, 947-949 (1980).
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(1980)
Prikl. Mat. Mekh.
, vol.44
, pp. 947-949
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21
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0005142983
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On the problem of flowing for equations of an ideal fluid
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Russian
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A.V. Kazhikhov and V.V. Ragulin, "On the problem of flowing for equations of an ideal fluid," Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 96, 84-96 (1980) (Russian); A.V. Kazhikhov, "The correctness of the nonstationary problem about the flow of the ideal fluid through the given domain," Matematicheskie Problemy Mekhaniki Sploshnykh Sred, Din. Sploshnoj Sredy 47, 37-56 (1980) (Russian).
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(1980)
Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova
, vol.96
, pp. 84-96
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Kazhikhov, A.V.1
Ragulin, V.V.2
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22
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27544438224
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The correctness of the nonstationary problem about the flow of the ideal fluid through the given domain
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Russian
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A.V. Kazhikhov and V.V. Ragulin, "On the problem of flowing for equations of an ideal fluid," Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 96, 84-96 (1980) (Russian); A.V. Kazhikhov, "The correctness of the nonstationary problem about the flow of the ideal fluid through the given domain," Matematicheskie Problemy Mekhaniki Sploshnykh Sred, Din. Sploshnoj Sredy 47, 37-56 (1980) (Russian).
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(1980)
Matematicheskie Problemy Mekhaniki Sploshnykh Sred, Din. Sploshnoj Sredy
, vol.47
, pp. 37-56
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Kazhikhov, A.V.1
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23
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0005206984
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Solvability properties of time-dependent Euler's equations in terms of H, ψ
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Russian, English
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V.M. Solopenko, "Solvability properties of time-dependent Euler's equations in terms of H, ψ," Sov. Phys. Dokl. 34, 204-205 (1989) (Russian, English); translation from Dokl. Akad. Nauk SSSR 305, 567-570 (1989).
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(1989)
Sov. Phys. Dokl.
, vol.34
, pp. 204-205
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Solopenko, V.M.1
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24
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0005233562
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translation from
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V.M. Solopenko, "Solvability properties of time-dependent Euler's equations in terms of H, ψ," Sov. Phys. Dokl. 34, 204-205 (1989) (Russian, English); translation from Dokl. Akad. Nauk SSSR 305, 567-570 (1989).
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(1989)
Dokl. Akad. Nauk SSSR
, vol.305
, pp. 567-570
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25
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0005195339
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On vanishing viscosity in the two dimensional steady problems of the dynamics of an incompressible fluid
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Russian
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G.V. Alekseev, "On vanishing viscosity in the two dimensional steady problems of the dynamics of an incompressible fluid," Dynamika Sploshnoy Sredi, 10, 5-28 (1972) (Russian); "On the uniqueness and smoothness of vorticity flows of an ideal incompressible fluid," ibid. 15, 7-18 (1973) (Russian).
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(1972)
Dynamika Sploshnoy Sredi
, vol.10
, pp. 5-28
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Alekseev, G.V.1
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26
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0141733743
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On the uniqueness and smoothness of vorticity flows of an ideal incompressible fluid
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ibid. (Russian)
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G.V. Alekseev, "On vanishing viscosity in the two dimensional steady problems of the dynamics of an incompressible fluid," Dynamika Sploshnoy Sredi, 10, 5-28 (1972) (Russian); "On the uniqueness and smoothness of vorticity flows of an ideal incompressible fluid," ibid. 15, 7-18 (1973) (Russian).
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(1973)
Dynamika Sploshnoy Sredi
, vol.15
, pp. 7-18
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27
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22644450183
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Solvability of three dimensional stationary flowing problem
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English
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A.B. Morgulis, "Solvability of three dimensional stationary flowing problem," Siberian Math. J. 40, 121-135 (1999) (English); Sib. Matem. Zhurn 40, 142-158 (1999) (Russian).
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Siberian Math. J.
, vol.40
, pp. 121-135
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Morgulis, A.B.1
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28
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22644450183
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Russian
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A.B. Morgulis, "Solvability of three dimensional stationary flowing problem," Siberian Math. J. 40, 121-135 (1999) (English); Sib. Matem. Zhurn 40, 142-158 (1999) (Russian).
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(1999)
Sib. Matem. Zhurn
, vol.40
, pp. 142-158
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29
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0003998481
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Rostov State University, Rostov-na-Donu, (Russian)
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V.I. Yudovich, Linearization Method in Hydrodynamical Stability Theory (Rostov State University, Rostov-na-Donu, 1984) (Russian); Translation of Mathematical Monographs Vol. 74 (American Mathematical Society, Providence, RI, 1989) (English), p. 177.
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Linearization Method in Hydrodynamical Stability Theory
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Yudovich, V.I.1
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30
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0005233563
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Translation of (American Mathematical Society, Providence, RI) (English)
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V.I. Yudovich, Linearization Method in Hydrodynamical Stability Theory (Rostov State University, Rostov-na-Donu, 1984) (Russian); Translation of Mathematical Monographs Vol. 74 (American Mathematical Society, Providence, RI, 1989) (English), p. 177.
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Mathematical Monographs
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32
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85000268109
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Plane unsteady motion of an ideal incompressible fluid
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V.I. Yudovich, "Plane unsteady motion of an ideal incompressible fluid," Sov. Phys. Dokl. 6, 18-20 (1961); "Non-stationary flow of an ideal incompressible liquid," USSR Comput. Math. Math. Phys. 3, 1407-1456 (1963) (English).
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Sov. Phys. Dokl.
, vol.6
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Yudovich, V.I.1
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33
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0001751565
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Non-stationary flow of an ideal incompressible liquid
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English
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V.I. Yudovich, "Plane unsteady motion of an ideal incompressible fluid," Sov. Phys. Dokl. 6, 18-20 (1961); "Non-stationary flow of an ideal incompressible liquid," USSR Comput. Math. Math. Phys. 3, 1407-1456 (1963) (English).
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, vol.3
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34
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0002131061
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Uniqueness theorem for the basic nonstationary problem in the dynamics of an ideal incompressible fluid
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V.I. Yudovich, "Uniqueness theorem for the basic nonstationary problem in the dynamics of an ideal incompressible fluid," Math. Res. Lett. 2, 27-38 (1995).
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Yudovich, V.I.1
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0032263330
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Hydrodynamics in Besov spaces
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M. Vishik, "Hydrodynamics in Besov spaces," Arch. Ration. Mech. Anal. 145, 197-214 (1998).
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Vishik, M.1
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Lattice theory and flows of ideal incompressible fluid
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A.I. Shnirelman, "Lattice theory and flows of ideal incompressible fluid," Russ. J. Math. Phys. 1, 105-113 (1993).
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Rearrangements of the functions, maximization of convex functionals, and vortex rings
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G.R. Burton, "Rearrangements of the functions, maximization of convex functionals, and vortex rings," Math. Ann. 276, 225-253 (1987).
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Rayleigh, L.1
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Towards a stability theory of stationary planar-parallel flows of an ideal fluid
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Zapiski Nanchn. Seminarov LOMI, Nauka, Vol. 21, Moscow, Leningrad
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L.D. Faddeev, Towards a Stability Theory of Stationary Planar-Parallel Flows of an Ideal Fluid, Boundary Problems in Mathematical Physics Vol. 5 (Zapiski Nanchn. Seminarov LOMI, Nauka, Vol. 21, Moscow, Leningrad, 1971), pp. 164-172.
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Instability criteria for the flow of an ideal incompressible fluid
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S. Friedlander and M.M. Vishik, "Instability criteria for the flow of an ideal incompressible fluid," Phys. Rev. Lett. 66, 2204-2206 (1991); "Instability criteria for steady flows of a perfect fluid," Chaos 2, 455-457 (1992); M.M. Vishik, "Spectrum of small oscillations of an ideal fluid and Lyapunov exponents," J. Math. Pure Appl. 75, 531-557 (1996).
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S. Friedlander and M.M. Vishik, "Instability criteria for the flow of an ideal incompressible fluid," Phys. Rev. Lett. 66, 2204-2206 (1991); "Instability criteria for steady flows of a perfect fluid," Chaos 2, 455-457 (1992); M.M. Vishik, "Spectrum of small oscillations of an ideal fluid and Lyapunov exponents," J. Math. Pure Appl. 75, 531-557 (1996).
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