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Yudovich, Victor Iosifovich
(1934–2006)
Statistics Math-Net.Ru
Total publications: 56
Scientific articles: 55

Number of views:
This page:4216
Abstract pages:20561
Full texts:9137
References:1191
Professor
Doctor of physico-mathematical sciences (1974)
Speciality: 01.02.05 (Mechanics of fluids, gases and plasmas)
Birth date: 14.12.1934
Keywords: existence of solution; uniqueness; bifurcation; stability; invariant measure; turbulence; parametrical resonance; spectrum; operator; differential form; curavature; tensor product; fluid; vorticity; symmetry; cosymmetry.
   
Main publications:
  • Yudovich V. I. Nestatsionarnye techeniya idealnoi neszhimaemoi zhidkosti // ZhVM i MF, 1963. T. 3, # 6. S. 1032–1066.
  • Yudovich V. I. Kosimmetriya, vyrozhdenie reshenii operatornykh uravnenii, vozniknovenie filtratsionnoi konvektsii // Matem. zametki, 1991. T. 49, vyp. 5. S. 142–148.
  • Yudovich V. I. Periodicheskie differentsialnye uravneniya s samosopryazhennym operatorom monodromii // Matematicheskii sbornik. 2001. T. 192, # 3. S. 137–160.
  • Yudovich V. I. Metod linearizatsii v gidrodinamicheskoi teorii ustoichivosti. Rostov-na-Donu: Izd-vo RGU, 1984.
  • Babskii V. G., Zhukov M. Yu., Yudovich V. I. Matematicheskaya teoriya elektroforeza: primenenie k metodam fraktsionirovaniya biopolimerov. Kiev: Naukova dumka, 1983.

https://www.mathnet.ru/eng/person8446
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/216668
https://elibrary.ru/author_items.asp?authorid=6574

Publications in Math-Net.Ru Citations
2007
1. V. I. Yudovich, “Convection of a very viscous and non-heat-conductive fluid”, Mat. Sb., 198:1 (2007),  127–158  mathnet  mathscinet  zmath  elib; Sb. Math., 198:1 (2007), 117–146  isi  elib  scopus 3
2. S. A. Guda, V. I. Yudovich, “The coupled problem of a solid oscillating in a viscous fluid under the action of an elastic force”, Sibirsk. Mat. Zh., 48:3 (2007),  556–576  mathnet  mathscinet  zmath  elib; Siberian Math. J., 48:3 (2007), 446–462  isi  elib  scopus 2
2005
3. V. I. Yudovich, “Unique solvability of the problem of impact with separation of a rigid body on a nonhomogeneous fluid”, Vladikavkaz. Mat. Zh., 7:3 (2005),  79–91  mathnet  mathscinet 11
2004
4. L. G. Kurakin, V. I. Yudovich, “On equilibrium bifurcations in the cosymmetry collapse of a dynamical system”, Sibirsk. Mat. Zh., 45:2 (2004),  356–374  mathnet  mathscinet  zmath  elib; Siberian Math. J., 45:2 (2004), 294–310  isi 4
5. S. M. Zen'kovskaya, V. I. Yudovich, “The method of integro-differential equations and continued fractions in the problem of parametric excitation of waves”, Zh. Vychisl. Mat. Mat. Fiz., 44:4 (2004),  731–745  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:4 (2004), 692–705 3
2003
6. V. I. Yudovich, “Eleven great problems of mathematical hydrodynamics”, Mosc. Math. J., 3:2 (2003),  711–737  mathnet  mathscinet  zmath  isi  elib 41
7. L. G. Kurakin, V. I. Yudovich, “Codimension One Bifurcation of 2-Dimensional Tori Born from an Equilibrium Family in Systems with Cosymmetry”, Mat. Zametki, 73:5 (2003),  796–800  mathnet  mathscinet  zmath  elib; Math. Notes, 73:5 (2003), 751–755  isi  scopus 4
2002
8. A. B. Morgulis, V. I. Yudovich, “Asymptotic stability of a stationary flowing regime of an ideal incompressible fluid”, Sibirsk. Mat. Zh., 43:4 (2002),  840–857  mathnet  mathscinet  zmath; Siberian Math. J., 43:4 (2002), 674–688  isi 5
2001
9. V. A. Vladimirov, V. I. Yudovich, M. Yu. Zhukov, P. V. Demssenko, “On vortex flows in a gap between two parallel plates”, Matem. Mod., 13:2 (2001),  27–38  mathnet  mathscinet  zmath 2
10. V. I. Yudovich, “Periodic differential equations with self-adjoint monodromy operator”, Mat. Sb., 192:3 (2001),  137–160  mathnet  mathscinet  zmath  elib; Sb. Math., 192:3 (2001), 455–478  isi  scopus 4
2000
11. L. G. Kurakin, V. I. Yudovich, “The Hopf bifurcation in a family of equilibria of a dynamical system with a multicosymmetry”, Differ. Uravn., 36:10 (2000),  1315–1323  mathnet  mathscinet; Differ. Equ., 36:10 (2000), 1452–1460 1
12. V. I. Yudovich, “On the unbounded increase in vorticity and velocity circulation in stratified and homogeneous fluid flows”, Mat. Zametki, 68:4 (2000),  627–636  mathnet  mathscinet  zmath; Math. Notes, 68:4 (2000), 533–540  isi 4
13. L. G. Kurakin, V. I. Yudovich, “Application of the Lyapunov–Schmidt method to the problem of the branching of a cycle from a family of equilibria of a system with multicosymmetry”, Sibirsk. Mat. Zh., 41:1 (2000),  136–149  mathnet  mathscinet  zmath; Siberian Math. J., 41:1 (2000), 114–124  isi 7
1999
14. V. I. Yudovich, L. G. Kurakin, “Bifurcation of a limit cycle from the equilibrium submanifold in a system with multiple cosymmetries”, Mat. Zametki, 66:2 (1999),  317–320  mathnet  mathscinet  zmath  elib; Math. Notes, 66:2 (1999), 254–258  isi 6
1997
15. V. I. Yudovich, “Vibration dynamics of systems with constraints”, Dokl. Akad. Nauk, 354:5 (1997),  622–624  mathnet  mathscinet  zmath; Dokl. Math., 42:6 (1997), 322–325 10
1996
16. V. I. Yudovich, “Implicit function theorem for cosymmetric equations”, Mat. Zametki, 60:2 (1996),  313–317  mathnet  mathscinet  zmath; Math. Notes, 60:2 (1996), 235–238  isi 37
17. S. V. Revina, V. I. Yudovich, “$L_p$-estimates of the resolvent of the Stokes operator in infinite tubes”, Mat. Sb., 187:6 (1996),  97–118  mathnet  mathscinet  zmath; Sb. Math., 187:6 (1996), 881–902  isi  scopus 3
1994
18. V. I. Yudovich, “Linear stability of equilibria of a fluid that is a nonconductor of heat”, Mat. Sb., 185:5 (1994),  139–159  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 82:1 (1995), 117–134  isi 2
1993
19. V. I. Yudovich, “On the equations of free convection in an absolutely heat-conducting fluid”, Sibirsk. Mat. Zh., 34:5 (1993),  218–229  mathnet  mathscinet  zmath; Siberian Math. J., 34:5 (1993), 988–998  isi 1
1991
20. V. I. Yudovich, “Cosymmetry, degeneration of solutions of operator equations, and onset of a filtration convection”, Mat. Zametki, 49:5 (1991),  142–148  mathnet  mathscinet  zmath; Math. Notes, 49:5 (1991), 540–545  isi 71
21. V. I. Yudovich, “Boundary of monotonic and oscillatory convective stability of a horizontal fluid layer”, Prikl. Mekh. Tekh. Fiz., 32:6 (1991),  44–50  mathnet; J. Appl. Mech. Tech. Phys., 32:6 (1991), 861–866
22. N. V. Petrovskaya, A. K. Fadeev, V. I. Yudovich, “Numerical study of steady-state regimes of rotational-gravitational convection”, Prikl. Mekh. Tekh. Fiz., 32:1 (1991),  35–39  mathnet; J. Appl. Mech. Tech. Phys., 32:1 (1991), 31–35
1988
23. L. I. Sazonov, V. I. Yudovich, “Stability of the stationary solutions of parabolic equations and of a Navier–Stokes system in a whole space”, Sibirsk. Mat. Zh., 29:1 (1988),  151–158  mathnet  mathscinet  zmath; Siberian Math. J., 29:1 (1988), 117–123  isi 5
1985
24. V. A. Batishchev, V. V. Kolesov, S. K. Slitinskaya, V. I. Yudovich, “Effect of spatial modulation of the temperature distribution on the stability of two-dimensional steady flow in a horizontal layer of a two-component liquid”, Prikl. Mekh. Tekh. Fiz., 26:2 (1985),  83–86  mathnet; J. Appl. Mech. Tech. Phys., 26:2 (1985), 226–229 1
25. I. V. Morshneva, V. I. Yudovich, “Bifurcation of cycles from equilibria of inversion- and rotational-symmetric dynamical systems”, Sibirsk. Mat. Zh., 26:1 (1985),  124–133  mathnet  mathscinet  zmath; Siberian Math. J., 26:1 (1985), 97–104  isi 4
1984
26. V. V. Kolesov, V. I. Yudovich, “Development of convection in a liquid layer containing impurities”, Prikl. Mekh. Tekh. Fiz., 25:1 (1984),  52–55  mathnet; J. Appl. Mech. Tech. Phys., 25:1 (1984), 47–50
1983
27. V. I. Yudovich, “Spectral properties of an oscillatory differential operator on the line”, Uspekhi Mat. Nauk, 38:1(229) (1983),  205–206  mathnet  mathscinet  zmath; Russian Math. Surveys, 38:1 (1983), 227–228  isi 2
1982
28. M. Yu. Zhukov, V. I. Yudovich, “Mathematical model of isotachophoresis”, Dokl. Akad. Nauk SSSR, 267:2 (1982),  334–338  mathnet 4
29. V. I. Yudovich, “The spectrum of some bordered selfadjoint operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 4,  77–81  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:4 (1982), 94–100
1981
30. Yu. S. Barkovskii, V. I. Yudovich, “Spectral properties of a class of boundary value problems”, Mat. Sb. (N.S.), 114(156):3 (1981),  438–450  mathnet  mathscinet  zmath; Math. USSR-Sb., 42:3 (1982), 387–398 8
1978
31. Yu. S. Barkovskii, V. I. Yudovich, “Taylor vortex formation in the case of variously rotating cylinders and the spectral properties of one class of boundary-value problems”, Dokl. Akad. Nauk SSSR, 242:4 (1978),  784–787  mathnet  mathscinet  zmath 3
1974
32. A. A. Esipov, V. I. Yudovich, “Asymptotic behavior of the eigenvalues of the first boundary value problem for an ordinary differential equation on a long interval”, Zh. Vychisl. Mat. Mat. Fiz., 14:2 (1974),  342–349  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:2 (1974), 67–75 2
1973
33. A. A. Esipov, V. I. Yudovich, “Limit behavior of the eigenvalues of boundary value problems in unboundedly expanding domains”, Zh. Vychisl. Mat. Mat. Fiz., 13:2 (1973),  421–432  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:2 (1973), 184–198 2
1972
34. I. P. Andreichikov, V. I. Yudovich, “Self-oscillating regimes branching from Poiseuille flow in a two- dimensional channel”, Dokl. Akad. Nauk SSSR, 202:4 (1972),  791–794  mathnet  zmath 2
35. G. S. Markman, V. I. Yudovich, “Onset of convection regimes with double period in a periodic field of external forces”, Prikl. Mekh. Tekh. Fiz., 13:6 (1972),  65–70  mathnet; J. Appl. Mech. Tech. Phys., 13:6 (1972), 817–821 1
1971
36. L. S. Srubshchik, V. I. Yudovich, “Asymptotic behavior of first-order discontinuities of fluid flows with vanishing viscosity”, Dokl. Akad. Nauk SSSR, 199:3 (1971),  563–566  mathnet  zmath
1970
37. V. I. Yudovich, “On the stability of self-oscillations of a liquid”, Dokl. Akad. Nauk SSSR, 195:3 (1970),  574–576  mathnet  mathscinet  zmath 1
38. V. I. Yudovich, “The stability of forced vibrations of a fluid”, Dokl. Akad. Nauk SSSR, 195:2 (1970),  292–295  mathnet  mathscinet  zmath 1
1967
39. V. I. Yudovich, “An example of loss of stability and generation of a secondary flow in a closed vessel”, Mat. Sb. (N.S.), 74(116):4 (1967),  565–579  mathnet  mathscinet  zmath; Math. USSR-Sb., 3:4 (1967), 519–533 8
1966
40. V. I. Yudovich, “The bifurcation of a rotating flow of liquid”, Dokl. Akad. Nauk SSSR, 169:2 (1966),  306–309  mathnet  zmath
41. V. I. Yudovich, “Instability of parallel flows of a viscous incompressible fluid with respect to perturbations periodic in space”, Zh. Vychisl. Mat. Mat. Fiz., 6:supplement to № 4 (1966),  242–249  mathnet  mathscinet  zmath
42. L. S. Srubshchik, V. I. Yudovich, “Asymptotic integration of the equation of equilibrium for a fluid with surface tension in a gravitational field”, Zh. Vychisl. Mat. Mat. Fiz., 6:6 (1966),  1127–1133  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:6 (1966), 258–268 5
1965
43. V. I. Yudovich, “Stability of steady flows of viscous incompressible fluids”, Dokl. Akad. Nauk SSSR, 161:5 (1965),  1037–1040  mathnet  mathscinet  zmath 3
44. V. I. Yudovich, “On a bound for the solution of an elliptic equation”, Uspekhi Mat. Nauk, 20:2(122) (1965),  213–219  mathnet  mathscinet  zmath
1964
45. V. P. Zaharyuta, V. I. Yudovich, “The general form of a linear functional in $H_p'$”, Uspekhi Mat. Nauk, 19:2(116) (1964),  139–142  mathnet  mathscinet  zmath 4
46. V. I. Yudovich, “A two-dimensional non-stationary problem on the flow of an ideal incompressible fluid through a given region”, Mat. Sb. (N.S.), 64(106):4 (1964),  562–588  mathnet  mathscinet 22
1963
47. L. S. Srubshchik, V. I. Yudovich, “Asymptotic behavior of the equation of large deflection of a circular-symmetric loaded plate”, Sibirsk. Mat. Zh., 4:3 (1963),  657–672  mathnet  mathscinet
48. V. I. Yudovich, “Non-stationary flows of an ideal incompressible fluid”, Zh. Vychisl. Mat. Mat. Fiz., 3:6 (1963),  1032–1066  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 3:6 (1963), 1407–1456 164
1962
49. V. I. Yudovich, “The flow of a perfect, incompressible liquid through a given region”, Dokl. Akad. Nauk SSSR, 146:3 (1962),  561–564  mathnet  mathscinet  zmath 1
50. V. I. Yudovich, “Some bounds for solutions of elliptic equations”, Mat. Sb. (N.S.), 59(101) (supplementary) (1962),  229–244  mathnet  mathscinet  zmath 2
1961
51. L. S. Srubshchik, V. I. Yudovich, “Asymptotic treatment of the equations for large bending of a symmetrically loaded circular plate”, Dokl. Akad. Nauk SSSR, 139:2 (1961),  341–344  mathnet  mathscinet  zmath
52. V. I. Yudovich, “Some estimates connected with integral operators and with solutions of elliptic equations”, Dokl. Akad. Nauk SSSR, 138:4 (1961),  805–808  mathnet  mathscinet  zmath 15
53. V. I. Yudovich, “Plane unsteady motion of an ideal incompressible fluid”, Dokl. Akad. Nauk SSSR, 136:3 (1961),  564–567  mathnet  zmath 2
54. I. I. Vorovich, V. I. Yudovich, “Steady flow of a viscous incompressible fluid”, Mat. Sb. (N.S.), 53(95):4 (1961),  393–428  mathnet  mathscinet 17
1960
55. V. I. Yudovich, “Periodic motions of a viscous incompressible fluid”, Dokl. Akad. Nauk SSSR, 130:6 (1960),  1214–1217  mathnet  mathscinet  zmath 4
1969
56. I. I. Vorovich, G. K. Mikhailov, A. D. Myshkis, V. I. Yudovich, “Third All-Union Congress on Theoretical and Applied Mechanics”, Uspekhi Mat. Nauk, 24:1(145) (1969),  201–207  mathnet

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