Victor I. Yudovich
Russian version
Prof. Yudovich, Victor Iosifovich (Born: 04.10.1934)
Mech.Math. Faculty Rostov State Univ. , Department of Mechanics and Mathematics
[D
D 344090, RostovonDon, Zorge str. 5
Supervisor of
WWW of
Mathematical Modeling project (in russian)
email: yudovich@math.rsu.ru
Academic Degrees:
1972 Doctor of science Institution of Applied Mathematics, Mechanics of
Fluids Academy of Sciences, Moscow, USSR.
Academic Position:
1972till present Professor, Head of the department
of Computational Mathematics and Mathematical
Physics, Mechanics and Mathematics Dept., Rostov University.
Main Publications
19931995 invited lectures:
Books:
1.V.G.Babskii, M.Yu.Zhukov, V.I.Yudovich Mathematical Theory of Electrophoresis.Consultants
Bureau: NewYork (A Division of Plenum Publ.Corp.), 1988, 241 p.
2.V.I.Yudovich The Linearization Method in Hydrodynamical Stability Theory,
Translation of Mathematical Monographs, vol. 74, AMS Providence, (1989),
170 p.
3.A.A.Esipov, L.I.Sazonov, V.I.Yudovich Textbook for solution of the ordinary
differential equations, Izd. RGU, Rostovon Don, (1989), 336 p.
Selected Publications:
1. (with I.I. Vorovich) Steady flow of a viscous fluid, Dokl. Akad. Nauk
SSSR,124(1959), 542545; English translation in Soviet Phys. Dokl.,4(1959/60).
2. Periodic motions of a viscous incompressible fluid, Dokl. Akad. Nauk
SSSR, 130(1960), 12141217; English translation in Soviet Phys. Dokl.,
1(1960).
3. (with I.I. Vorovich) Steady flow of a viscous incompressible fluid,
Mat. Sb. 53(95)(1961), 393428. (Russian)
4. Some estimates connected with integral operators and with solutions
of elliptic equations, Dokl. Akad. Nauk SSSR, 138(1961), 805808; English
translation in Soviet Phys. Dokl., 2(1961).
5. (with L.S. Srubschick) Asymptotics of the large deflection equation
of a circular symmetrically loaded plate. Dokl. Akad. Nauk SSSR, 139(1961,
no. 2), p. 342345. (Russian)
6. (with L.S. Srubschick) Asymptotic integration of the large deflection
system of equations a symmetrically loaded shells of revolution. Prikl.
Math. Mekh., 26(1962, no. 5), p.913922. (Russian)
7. (with L.S. Srubschick) Asymptotic of the large deflection equation of
a circular symmetrically loaded plate. Siberia Mathem. J., 4(1963, no.
3), p. 657672. (Russian)
8. On an estimate for the solution of an elliptic equation, Uspekhi Mat.
Nauk, 20(1965, no.2(122)), 213219. (Russian)
9. Example of the generation of a secondary steady or periodic flow when
there is loss of a stability of the laminar flow of a viscous incompressible
fluid, Prikl. Mat. Mekh., 29(1965), 453467; English translation in J.
Appl. Mech., 29(1965).
10. Mathematical questions of hydrodynamical stability theory, AllUnion
InterUniv. Conf. Application of Methods of Functional Analysis to the
Solution of Nonlinear Problems, Abstracts of Reports, Baku, 1965, p.25
(Russian).
11. Stability of steady flows of viscous incompressible fluids, Dokl. Akad.
Nauk SSSR, 161(1965), 10371040; English translation in Soviet Phys. Dokl.,
10(1965/66).
12. Some bounds for solutions of an elliptic equations, Mat. Sb. 59(101)(1962),
229244; English translation in Amer. Math. Soc. Transl.,(2) 56(1966).
13. Instability of parallel flows of a viscous imcommpressible fluid with
respect to perturbations periodic in space, Numerical Methods for Solving
Problems of Mathematical Physics (Supplement to Zh. Vychisl. Mat. i. Math.
Fiz., 6(1966, no. 4), "Nauka", Moscow, 1966, pp. 242249. (Russian).
14. Generation of secondary steady and periodic regimes on loss of stability
of a steady flow of a fluid, Abstracts Brief Sci., Comm., Section 12, Internat.
Cong. Math., Moscow, 1966, p. 57. (Russian).
15. (with L.S. Srubschick) Remark on the stability of the membrane solutions
in nonlinear theory of plates and shells. Prikl. Math. Mekh., 30(1966,
no. 1), p.116123. (Russian)
16. (with L.S. Srubschick) On the asymptotic integration of the equlibrium
equation of the fluid with surface tension in field of gravity. Journal
of Calculating Mathematics and Mathemathical Physics, 6(1966, no. 6), p.11271133.
(Russian)
17. Secondary flows and fluid instability between rotating cylinders, Prikl.
Mat. Mekh., 30(1966), 688698. English translation in J. Appl. Math. Mech.
30(1966).
18. The bifurcation of a rotating flow of liquid, Dokl. Akad. Nauk SSSR,
169(1966), 306309; English translation in Soviet Phys. Dokl., 11(1966/67).
19. Stability of convection flows, Prikl. Mat. Mekh., 31(1967), 272281;
English translation in J. Appl. Math. Mech., 31(1967).
20. An example of loss of stability and generation of a secondary flow
in a closed vessel, Mat. Sb., 74(116) (1967), 565579; English translation
in Math. USSR Sb., 3(1967).
21. Questions in the mathematical theory of stability of fluid flows, Third
AllUnion Cong. Theoret. Appl. Mech., Abstracts of Reports, Akad. Nauk
SSSR, Moscow, 1968, p. 330. (Russian).
22. (with S.N. Ovchinnikova) The calculation of the secondary flow between
the rotating cylinders, Prikl. Mat. Mekh., 32(1968, no. 5) (Russian)
23. On the stability of forced oscillations of a fluid, Dokl. Akad. Nauk
SSSR, 195(1970), 292295; English translation in Soviet Math. Dokl., 11(1970).
24. On the stability of selfoscillations of a fluid, Dokl. Akad. Nauk
SSSR, 195(1970), 292295; English translation in Soviet Math. Dokl., 11(1970).
25. The onset of selfoscillations in a fluid, Prikl. Mat. Mekh., 35(1971);
638655; English translation in J. Appl. Math. Mekh., 35(1971).
26. (with L.S. Srubschick) Asymptotic of the weak discontinuty of NavieStocks
equation. Dokl. Akad. Nauk SSSR, 199(1971, no. 3), p. 563566 (Russian).
27. Investigation of selfoscillation of a continious media that arise
at loss of stability of a steady regime. Prikl. Mat. Mekh., 36(1972), 450459;
English translation in J. Appl. Math. Mekh., 36(1972).
28. Mathematical questions of the theory of stability of flows of a fluid,
Doctoral Dissertation, Inst. Problems Mech., Acad. Sci. USSR, Moscow, 1972.
(Russian).
29. On the selfoscillations branching from the Poiseile flow in the flat
channel, Dokl. Akad. Nauk SSSR, 202(1972) (Russian).
30. (with G.S. Markman) The doubleperiod convective regimes generation
in the periodic field of external forces. J. Prikl. Mekh. i Tekhn. Fiz.,
1972 (Russian).
31. (with G.S. Markman) The numerical investigation of the free convection
generation in the fluid layer under action of the time periodic external
forces. Izvestia Ac. Sci., Gas and Fluid Mech., 1972, No.3 (Russian).
32. On the selfoscillations generating by the loss of stability of the
viscous fluid respective the long wave periodic disturbances, Izvestia
Ac. Sci., Gas and Fluid Mech., 1973 (Russian).
33. (with A.A. Esipov) The limit behaviour of the eigenvalues of the boundary
problems in the infinitely expanding domains, Zh. Vychisl. Mat. i Math.
Fiz., 13(1973, no.2) (Russian).
34. (with Yu.A. Ustinov) On the completeness of the system of elementary
solutions of biharmonic equation in the halfstrip, Prikl. Mat. Mekh.,
37(1973) (Russian).
35. (with L.S. Srubschick) Asymptotic form of the free surface of uniformly
revolving fluid with large Bond's numbers. Izvestia Ac. Sci., Gas and Fluid
Mech., 1973, No.6, p.312 (Russian).
36. Loss of smoothness of solutions of the Euler equations with time, Dinamika
Sploshnoi Sredy, Vyp. 16(1974), 7178. (Russian).
37. (with I.P. Andreichikov) On the stability of viscoelastic beams, Izvestia
Ac. Sci., Mekh. Tverd. Tela, 1974, no. 2. (Russian).
38. (with I.P. Andreichikov) On the self oscillations of viscoelastic beams,
Izvestia Ac. Sci., Mekh. Tverd. Tela, 1974, no. 6. (Russian).
39. (with A.A. Esipov) On the asymptotics of the eigenvalues of the boundary
problems for the long cylinders, Izvestia S.K.N.Tz. V.Sh., RostovonDon,
1974. (Russian).
40. (with A.A. Esipov) Asymptotics of the first boundary problem eigenvalues
for the ordinary differntial equation on the long interval, Zh. Vychisl.
Mat. i Math. Fiz., 14(1974, no.2). (Russian).
41. (with S.N. Ovchinnikova) Stability and bifurcation of the Coette flow
for the narrow gap between rotating cylinders, Prikl. Mat. Mekh., 1974,
no. 6. (Russian).
42. (with Yu.S. Barkovsky) The momenta problem and spectral theory of the
operators, Izvestia S.K.N.Tz. V.Sh., RostovonDon, 1975. (Russian)
43. The spectral properties of the parabolic equation evolution operator,
Uspekhi Mat. Nauk, 1976, no.6. (Russian)
44. (with Yu.S. Barkovsky) Taylor vortex generation in the case of counterrotating
cylinders and the spectral properties of a class of boundary value problems.
Dokl. Akad. Nauk SSSR (1978), 784787; English transl. in Soviet Phys.
Dokl. 23(1978).
45. (with L.H. Belenkaya) The stability of the viscoelastic beams, Izvestia
Ac. Sci., Mekh. Tverd. Tela, 1978, no. 6. (Russian).
46. Stability of the stationary flows of ideal incommpressible fluid with
the free boundary, Prikl. Mat. Mekh., 42(1978). (Russian).
47. (with V.A. Batischev) On the degeneration of the free oscillations
of the binary mixture with small dissipative coefficients, Izvestia Ac.
Sci., Atmosphere and Ocean Physics, 16(1980, no. 6). (Russian).
48. (with N.V. Petrovskaya) Homoclinic loops of the Saltzman Lorenz system,
Metody Kachest. Teor. Differ. Uravn., Gorky (1980). (Russian).
49. (with V.I. Sedenko) Spectral properties of one class of boundary problems,
Mat. Sb. 114(156)(1981). (Russian).
50. (with M.Yu. Zhukov) Basic equations of hydroelectro thermodynamics
for multicomponent liquids. Mol.Biology, 1981, no. 28, p.4353. (Russian).
51. (with M.Yu. Zhukov) Multicomponent mixtures in local chemical equilibrium.
Mol.Biology, 1981, no.28, p.5457. (Russian).
52. (with M.Yu. Zhukov) Creation of a pHgradient in solution using carrier
ampholytes. Mol.Biology, 1981, no.28, p.7174. (Russian).
53. (with M.Yu. Zhukov) Mathematical model of isotachophoresis. Dokl. Akad.
Nauk SSSR, 1982, v.267, no. 2, p. 334338. (Russian).
54. Spectral property of the oscillating differential operators on the
real axes, Izvestia Vuzov, Matematika. (1982), no. 4, p.7781. (Russian).
55. (with V.G. Babskii V.G. and M.Yu. Zhukov) Electrophoresis biopolymers
in microgravity. In:Hydromechanics and heat/mass transfer in microgravity.
Moscow: Nauka, 1982, p. 248260. (Russian).
56. Convective instability of the horizontal layer of the binary mixture,
Izvestia Ac. Sci., Atmosphere and Ocean Physics, (1984). (Russian).
57. (with V.A. Batischev, V.V. Kolesov and S.K. Slitinskaya) The influence
of the space modulation of temperature field on the stability of 2D stationary
flow in the horizontal fluid layer, J. Prikl. Mekh. i Tekhn. Fiz., 1985,
no. 2. (Russian).
58. (with I.V. Morshneva) On the bifurcation of the limit cycle from the
equilibrium inverse and rotation symmetric dynamical systems, Siberia Mathem.
J., 26(1985, no. 1). (Russian).
59. (with L.S. Srubschick) On the dynamic snapthrough of a nonlinear elastic
structure. Prikl. Mat. Mekh., 50(1986), No. 3, p. 426435. (Russian).
60. (with L.G. Kurakin) Semiinvariant forms of equilibrium stability criteria
in critical cases, Prikl. Mat. Mekh., 50(1986). English translation in
J. Appl. Math. and Mechan., 50(1986, no. 6), pp.719725. (Russian).
61. (with L.I.Sazonov) On the stability of the stationary solutions of
the parabolic equations and NavierStokes system in the whole space, Siberia
Mathem. J., 29(1988, no. 1). (Russian).
62. Instability of longwave flows of viscous fluids, Izvestia Ac. Sci.,
Gas and Fluid Mech., 4(1990), pp. 3035. (Russian).
63. An infinitedimensional model of free convection. Izvestia Ac. Sci.,
Atmosphere and Ocean Physics, (1990, no.4) (Russian).
64. Cosymmetry, degeneration of solutions of operator equations, bifurcation
into filtrational convection, Math. Zametki, 5(1991), pp. 142148. (Russian).
65. On boundary of monotonous and nonmonotonous stability of horizontal
fluid layer, J. Prikl. Mekh. i Tekhn. Fiz., 1991, no. 1. (Russian).
66. Free convection of infinitely viscous fluid, Izvestia Vuzov, Matematika.
(1991), no. 3, (Russian).
67. Equations of free convection of absolutely not heat conducting fluid,
Siberia Mathem. J., v. 3, (1993, no. 5), pp. 217229 (Russian).
68. Linear stability of equilibria of not heat conducting fluid, Mat. Sb.,
1994.

Last modified 26 mar. 1998