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## Yudovich, Viktor Iosifovich

Compute Distance To:
 Author ID: yudovich.v-i Published as: Yudovich, V. I.; Yudovich, Victor; Yudovich, V.; Yudovich, Viktor Iosifovich; Judovich, V. I. External Links: MGP · Wikidata · IdRef
 Documents Indexed: 119 Publications since 1959, including 3 Books 1 Contribution as Editor Biographic References: 4 Publications
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#### Co-Authors

 49 single-authored 13 Kurakin, Leonid Gennadievich 7 Srubshchik, Leonid S. 5 Esipov, A. A. 4 Morgulis, Andrey Borisovich 4 Ovchinnikova, S. N. 3 Barkovskij, Yu. S. 3 Friedlander, Susan Jean 3 Kolesov, V. V. 3 Sazonov, Leonid Ivanovich 2 Izakson, V. Kh. 2 Markman, G. S. 2 Morshneva, I. V. 2 Petrovskaya, Natal’ya Vladimirovna 2 Revina, Svetlana Vasil’evna 2 Tsybulin, Vyacheslav G. 2 Zenkovskaya, Svetlana M. 2 Zhukov, Mikhail Yu. 1 Andrejchikov, I. P. 1 Antman, Stuart S. 1 Babeshko, Vladimir Andreevich 1 Batishchev, V. A. 1 Belen’kaya, L. Kh. 1 Belokon, A. V. 1 Denissenko, Petr. V. 1 Govorukhin, Vasily N. 1 Guda, S. A. 1 Kashaev, Yu. K. 1 Keller, Joseph Bishop 1 Novossiadliy, V. A. 1 Olifer, A. V. 1 Sedenko, V I. 1 Shleykel, A. L. 1 Shnirelman, Alexander I. 1 Silber, Ben 1 Slitinskaya, S. K. 1 Srubscik, L. S. 1 Trenogin, Vladilen Aleksandrovich 1 Uhovskij, M. R. 1 Ukhovskij, M. R. 1 Ustinov, Yuriĭ Anatol’evich 1 Vishik, Misha M. 1 Vladimirov, Vladimir A. 1 Vorovich, Iosif Izrailevich 1 Zakharyuta, Vyacheslav Pavlovich 1 Zaslavskiĭ, Georgiĭ Moiseevich
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#### Serials

 9 Soviet Physics. Doklady 9 Chaos 6 Fluid Dynamics 6 Journal of Applied Mathematics and Mechanics 6 Prikladnaya Matematika i Mekhanika 6 Sibirskiĭ Matematicheskiĭ Zhurnal 6 PMM, Journal of Applied Mathematics and Mechanics 5 Mathematical Notes 4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 4 Soviet Mathematics. Doklady 4 U.S.S.R. Computational Mathematics and Mathematical Physics 4 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Siberian Mathematical Journal 3 Sbornik: Mathematics 3 Journal of Mathematical Fluid Mechanics 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Izvestiya Severo-Kavkazskogo Nauchnogo Tsentra Vyssheĭ Shkoly. Estestvennye Nauki 2 Mathematics of the USSR, Sbornik 2 Physics-Doklady 2 Doklady Physics 1 Communications on Pure and Applied Mathematics 1 Russian Mathematical Surveys 1 Soviet Mathematics 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Notices of the American Mathematical Society 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Mathematical Research Letters 1 Journal of Difference Equations and Applications 1 Doklady Mathematics 1 Differential Equations 1 Matematicheskoe Modelirovanie 1 Moscow Mathematical Journal 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Translations of Mathematical Monographs 1 Translations. Series 2. American Mathematical Society
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#### Fields

 53 Fluid mechanics (76-XX) 35 Partial differential equations (35-XX) 22 Ordinary differential equations (34-XX) 22 Dynamical systems and ergodic theory (37-XX) 13 Operator theory (47-XX) 7 Mechanics of particles and systems (70-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

81 Publications have been cited 746 times in 608 Documents Cited by Year
Some estimates connected with integral operators and with solutions of elliptic equations. Zbl 0144.14501
Yudovich, V. I.
1961
Non-stationary flow of an ideal incompressible liquid. Zbl 0147.44303
Yudovich, V. I.
1967
Uniqueness theorem for the basic nonstationary problem in the dynamics on an ideal incompressible fluid. Zbl 0841.35092
Yudovich, V. I.
1995
Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid. Zbl 0148.22307
Yudovich, V. I.
1965
The linearization method in hydrodynamical stability theory. Transl. from the Russian by J.R. Schulenberger. Translation edited by Ben Silver. Zbl 0727.76039
Yudovich, V. I.
1989
Secondary cycle of equilibria in a system with cosymmetry, its creation by bifurcation and impossibility of symmetric treatment of it. Zbl 1055.58500
Yudovich, V. I.
1995
Linearization method in the hydrodynamic stability theory. (Metod linearizatsii v gidrodinamicheskoj teorii ustojchivosti). Zbl 0553.76038
Yudovich, V. I.
1984
The stability of stationary rotation of a regular vortex polygon. Zbl 1080.76520
Kurakin, L. G.; Yudovich, V. I.
2002
Periodic motions of a viscous incompressible fluid. Zbl 0158.23504
Yudovich, V. I.
1960
The onset of auto-oscillations in a fluid. Zbl 0247.76044
Yudovich, V. I.
1971
Nichtstationäre Strömung einer idealen inkompressiblen Flüssigkeit. Zbl 0129.19402
Yudovich, V. I.
1963
Eleven great problems of mathematical hydrodynamics. Zbl 1061.76003
Yudovich, V. I.
2003
Axially symmetric flows of ideal and viscous fluids filling the whole space. Zbl 0172.53405
Uhovskij, M. R.; Yudovich, V. I.
1968
Instabilities in fluid motion. Zbl 0948.76003
Friedlander, Susan; Yudovich, Victor
1999
Cosymmetry, degeneration of solutions of operator equations, and origin of a filtration convection. Zbl 0747.47010
Yudovich, V. I.
1991
Free convection and bifurcation. Zbl 0173.28803
Yudovich, V. I.
1967
On the loss of smoothness of the solutions of the Euler equations and the inherent instability of flows of an ideal fluid. Zbl 0982.76014
Yudovich, V. I.
2000
The unstable spectrum of oscillating shear flows. Zbl 0949.76025
Belenkaya, L.; Friedlander, S.; Yudovich, V.
1999
Secondary flows and fluid instability between rotating cylinders. Zbl 0153.29703
Yudovich, V. I.
1966
Arnold’s method for asymptotic stability of steady inviscid incompressible flow through a fixed domain with permeable boundary. Zbl 1080.76521
Morgulis, Andrey; Yudovich, Victor
2002
Implicit function theorem for cosymmetric equations. Zbl 0897.47051
Yudovich, V. I.
1996
Bifurcations and selection of equilibria in a simple cosymmetric model of filtrational convection. Zbl 0983.76015
Govorukhin, V. N.; Yudovich, V. I.
1999
On the completeness of a system of elementary solutions of the biharmonic equation in a semi-strip. Zbl 0296.35035
Ustinov, Yu. A.; Yudovich, V. I.
1973
Stability of convection flows. Zbl 0173.28804
Yudovich, V. I.
1967
The flow of a perfect, incompressible liquid through a given region. Zbl 0139.20502
Yudovich, V. I.
1962
Bifurcation of the branching of a cycle in $$n$$-parameter family of dynamic systems with cosymmetry. Zbl 0932.37043
Kurakin, L. G.; Yudovich, V. I.
1997
Investigation of auto-oscillations of a continuous medium, occurring at loss of stability of a stationary mode. Zbl 0257.34040
Yudovich, V. I.
1972
Some estimates for solutions of elliptic equations. (Einige Abschätzungen der Lösungen elliptischer Gleichungen.) Zbl 0161.31101
Yudovich, V. I.
1962
Initiation of self-oscillations at loss of stability of spatially-periodic, three-dimensional viscous flows with respect to long-wave perturbations. Zbl 1101.76328
Revina, S. V.; Yudovich, V. I.
2001
Compressible helical flows. Zbl 0829.76074
Morgulis, A.; Yudovich, V. I.; Zaslavsky, G. M.
1995
Asymptotic stability of a stationary flowing regime of an ideal incompressible fluid. Zbl 1032.76008
Morgulis, A. B.; Yudovich, V. I.
2002
Vibration dynamics of systems with constraints. Zbl 1050.70531
Yudovich, V. I.
1997
Unstable eigenvalues associated with inviscid fluid flows. Zbl 0972.35100
Friedlander, Susan; Vishik, Misha; Yudovich, Victor
2000
Unique solvability of the problem of impact with separation of a rigid body on a nonhomogeneous fluid. Zbl 1299.76020
Yudovich, V. I.
2005
Asymptotic treatment of the equations for large bending of a symmetrically loaded circular plate. Zbl 0111.37402
Srubshchik, L. S.; Yudovich, V. I.
1961
Die allgemeine Form eines linearen Funktionals in $$H_ p'$$. Zbl 0128.34305
Zakharyuta, V. P.; Yudovich, V. I.
1964
Stability of steady flows of viscous incompressible fluids. Zbl 0139.21901
Yudovich, V. I.
1965
Loss of smoothness and inherent instability of 2D inviscid fluid flows. Zbl 1141.76012
Morgulis, Andrey; Shnirelman, Alexander; Yudovich, Victor
2008
Instability of long-wave viscous flows. Zbl 0729.76034
Yudovich, V. I.
1990
Some bounds for the solutions of elliptic equations. Zbl 0175.11604
Yudovich, V. I.
1962
Analysis of secondary steady flow between totating cylinders. Zbl 0191.25401
Ovchinnikova, S. N.; Yudovich, V. I.
1968
Bifurcations of a cosymmetric dynamical system with monotone loss of equilibrium stability. Zbl 1039.37031
Kurakin, L. G.; Yudovich, V. I.
2000
Calculation of oscillatory regimes in Couette flow in the neighborhood of the point of intersection of bifurcations initiating Taylor vortices and azimuthal waves. Zbl 0945.76022
Kolesov, V. V.; Yudovich, V. I.
1998
The cosymmetric version of the implicit function theorem. Zbl 0860.46030
Yudovich, V.
1995
Über die Entstehung von Konvektion in einer Flüssigkeitsschicht mit freier Grenze. Zbl 0193.56602
Izakson, V. H.; Yudovich, V. I.
1968
On the stability of self-oscillations of a liquid. Zbl 0227.76074
Yudovich, V. I.
1970
On the equations of steady-state convection. Zbl 0131.41807
Ukhovskij, M. R.; Yudovich, V. I.
1963
Note on the stability of membrane solutions in the nonlinear theory of plates and shells. Zbl 0163.19507
Srubshchik, L. S.; Yudovich, V. I.
1966
Resonances in the codimension-2 bifurcations in the Couette-Taylor problem. Zbl 1262.76042
Yudovich, V. I.; Ovchinnikova, S. N.
2009
Stability and bifurcation of Couette flow in the case of a narrow gap between rotating cylinders. Zbl 0323.76028
Ovchinnikova, S. N.; Yudovich, V. I.
1974
On the dynamic snap-through of nonlinear elastic system. Zbl 0631.73044
Srubshchik, L. S.; Yudovich, V. I.
1986
Semi-invariant form of equilibrium stability criteria in critical cases. Zbl 0632.58028
Kurakin, L. G.; Yudovich, V. I.
1986
The stability of the stationary solutions of parabolic equations and of the Navier-Stokes system in the whole space. Zbl 0654.47034
Sazonov, L. I.; Yudovich, V. I.
1988
Cycle-creating bifurcation from a family of equilibria of a dynamical system and its delay. Zbl 0974.34066
Judovich, V. I.
1998
Onset of chaos through intersections of bifurcations in Couette-Taylor flow. Zbl 0925.76167
Kolesov, V.; Ovchinnikova, S.; Petrovskaya, N.; Yudovich, V.
1996
Asymptotisches Verhalten der Eigenwerte des ersten Randwertproblems für eine gewöhnliche Differentialgleichung auf einem langen Segment. Zbl 0298.34019
Esipov, A. A.; Yudovich, V. I.
1974
The bifurcation of a rotating flow of liquid. Zbl 0166.46201
Yudovich, V. I.
1966
Grenzverhalten der Eigenwerte von Randwertproblemen in sich unbeschränkt erweiternden Gebieten. Zbl 0258.47036
Esipov, A. A.; Yudovich, V. I.
1973
Steady flow of a viscous fluid. Zbl 0096.41301
Vorovich, I. I.; Yudovich, V. I.
1959
The asymptotic integration of the system of equations for the large deflection of symmetrically loaded shells of revolution. Zbl 0137.20701
Srubscik, L. S.; Yudovich, V. I.
1962
On the offshoot of cycles from equilibriums of inversionly and rotationally symmetric dynamic systems. Zbl 0569.34045
Morshneva, I. V.; Yudovich, V. I.
1985
Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system. Zbl 0969.37025
Kurakin, L. G.; Yudovich, V. I.
2000
Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system. Zbl 1071.37521
Kurakin, L. G.; Yudovich, V. I.
2000
On the unbounded increase in vorticity and velocity circulation in stratified and homogeneous fluid flows. Zbl 1128.76375
Yudovich, V. I.
2000
On equilibrium bifurcations in the cosymmetry collapse of a dynamical system. Zbl 1049.37040
Kurakin, L. G.; Yudovich, V. I.
2004
Codimension-1 bifurcation of the branching of two-dimensional invariant tori from a family of equilibria in systems with cosymmetry. Zbl 1067.37067
Kurakin, L. G.; Yudovich, V. I.
2003
The method of integro-differential equations and continued fractions in the problem of parametric excitation of waves. Zbl 1095.76018
Zen’kovskaya, S. M.; Yudovich, V. I.
2004
Global solvability versus collapse in the dynamics of an incompressible fluid. Zbl 1157.76300
Yudovich, V. I.
2006
Branching of 2D tori off an equilibrium of a cosymmetric system (codimension-1 bifurcation). Zbl 1080.37566
Kurakin, L. G.; Yudovich, V. I.
2001
$$L_ p$$-estimates of the resolvent of the Stokes operator in infinite tubes. Zbl 0872.76023
Revina, S. V.; Yudovich, V. I.
1996
Parametric excitation of waves on a free boundary of a horizontal fluid layer. Zbl 1386.76081
Yudovich, V. I.; Zenkovskaya, S. M.; Novossiadliy, V. A.; Shleykel, A. L.
2004
Application of the Lyapunov-Schmidt method to the problem of the branching of a cycle from a family of equilibria in a system with multicosymmetry. Zbl 1020.37029
Kurakin, L. G.; Yudovich, V. I.
2000
The coupled problem of a solid oscillating in a viscous fluid under the action of an elastic force. Zbl 1164.35459
Guda, S. A.; Yudovich, V. I.
2007
An example of loss of stability and generation of a secondary flow in a closed vessel. Zbl 0195.27803
Yudovich, V. I.
1969
On stability of forced oscillations of fluid. Zbl 0225.76028
Yudovich, V. I.
1970
Invariant sets and attractors of quadratic mapping of plane: computer experiment and analytical treatment. Zbl 0915.58053
Tsybulin, Vyacheslav; Yudovich, Victor
1998
Plane unsteady motion of an ideal incompressible fluid. Zbl 0098.39602
Yudovich, V. I.
1961
Spectral properties of a class of boundary value problems. Zbl 0487.34016
Barkovskij, Yu. S.; Yudovich, V. I.
1982
Spectral properties of an oscillatory differential operator on the line. Zbl 0532.47037
Yudovich, V. I.
1983
Influence of spatial modulation of the temperature field on the stability of two-dimensional steady flow in a horizontal layer of fluid. Zbl 0555.76038
Batishchev, V. A.; Kolesov, V. V.; Slitinskaya, S. K.; Yudovich, V. I.
1983
On periodic differential equations with the selfadjoint monodromy operator. Zbl 1045.34034
Yudovich, V. I.
1999
Resonances in the codimension-2 bifurcations in the Couette-Taylor problem. Zbl 1262.76042
Yudovich, V. I.; Ovchinnikova, S. N.
2009
Loss of smoothness and inherent instability of 2D inviscid fluid flows. Zbl 1141.76012
Morgulis, Andrey; Shnirelman, Alexander; Yudovich, Victor
2008
The coupled problem of a solid oscillating in a viscous fluid under the action of an elastic force. Zbl 1164.35459
Guda, S. A.; Yudovich, V. I.
2007
Global solvability versus collapse in the dynamics of an incompressible fluid. Zbl 1157.76300
Yudovich, V. I.
2006
Unique solvability of the problem of impact with separation of a rigid body on a nonhomogeneous fluid. Zbl 1299.76020
Yudovich, V. I.
2005
On equilibrium bifurcations in the cosymmetry collapse of a dynamical system. Zbl 1049.37040
Kurakin, L. G.; Yudovich, V. I.
2004
The method of integro-differential equations and continued fractions in the problem of parametric excitation of waves. Zbl 1095.76018
Zen&rsquo;kovskaya, S. M.; Yudovich, V. I.
2004
Parametric excitation of waves on a free boundary of a horizontal fluid layer. Zbl 1386.76081
Yudovich, V. I.; Zenkovskaya, S. M.; Novossiadliy, V. A.; Shleykel, A. L.
2004
Eleven great problems of mathematical hydrodynamics. Zbl 1061.76003
Yudovich, V. I.
2003
Codimension-1 bifurcation of the branching of two-dimensional invariant tori from a family of equilibria in systems with cosymmetry. Zbl 1067.37067
Kurakin, L. G.; Yudovich, V. I.
2003
The stability of stationary rotation of a regular vortex polygon. Zbl 1080.76520
Kurakin, L. G.; Yudovich, V. I.
2002
Arnold’s method for asymptotic stability of steady inviscid incompressible flow through a fixed domain with permeable boundary. Zbl 1080.76521
Morgulis, Andrey; Yudovich, Victor
2002
Asymptotic stability of a stationary flowing regime of an ideal incompressible fluid. Zbl 1032.76008
Morgulis, A. B.; Yudovich, V. I.
2002
Initiation of self-oscillations at loss of stability of spatially-periodic, three-dimensional viscous flows with respect to long-wave perturbations. Zbl 1101.76328
Revina, S. V.; Yudovich, V. I.
2001
Branching of 2D tori off an equilibrium of a cosymmetric system (codimension-1 bifurcation). Zbl 1080.37566
Kurakin, L. G.; Yudovich, V. I.
2001
On the loss of smoothness of the solutions of the Euler equations and the inherent instability of flows of an ideal fluid. Zbl 0982.76014
Yudovich, V. I.
2000
Unstable eigenvalues associated with inviscid fluid flows. Zbl 0972.35100
Friedlander, Susan; Vishik, Misha; Yudovich, Victor
2000
Bifurcations of a cosymmetric dynamical system with monotone loss of equilibrium stability. Zbl 1039.37031
Kurakin, L. G.; Yudovich, V. I.
2000
Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system. Zbl 0969.37025
Kurakin, L. G.; Yudovich, V. I.
2000
Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system. Zbl 1071.37521
Kurakin, L. G.; Yudovich, V. I.
2000
On the unbounded increase in vorticity and velocity circulation in stratified and homogeneous fluid flows. Zbl 1128.76375
Yudovich, V. I.
2000
Application of the Lyapunov-Schmidt method to the problem of the branching of a cycle from a family of equilibria in a system with multicosymmetry. Zbl 1020.37029
Kurakin, L. G.; Yudovich, V. I.
2000
Instabilities in fluid motion. Zbl 0948.76003
Friedlander, Susan; Yudovich, Victor
1999
The unstable spectrum of oscillating shear flows. Zbl 0949.76025
Belenkaya, L.; Friedlander, S.; Yudovich, V.
1999
Bifurcations and selection of equilibria in a simple cosymmetric model of filtrational convection. Zbl 0983.76015
Govorukhin, V. N.; Yudovich, V. I.
1999
On periodic differential equations with the selfadjoint monodromy operator. Zbl 1045.34034
Yudovich, V. I.
1999
Calculation of oscillatory regimes in Couette flow in the neighborhood of the point of intersection of bifurcations initiating Taylor vortices and azimuthal waves. Zbl 0945.76022
Kolesov, V. V.; Yudovich, V. I.
1998
Cycle-creating bifurcation from a family of equilibria of a dynamical system and its delay. Zbl 0974.34066
Judovich, V. I.
1998
Invariant sets and attractors of quadratic mapping of plane: computer experiment and analytical treatment. Zbl 0915.58053
Tsybulin, Vyacheslav; Yudovich, Victor
1998
Bifurcation of the branching of a cycle in $$n$$-parameter family of dynamic systems with cosymmetry. Zbl 0932.37043
Kurakin, L. G.; Yudovich, V. I.
1997
Vibration dynamics of systems with constraints. Zbl 1050.70531
Yudovich, V. I.
1997
Implicit function theorem for cosymmetric equations. Zbl 0897.47051
Yudovich, V. I.
1996
Onset of chaos through intersections of bifurcations in Couette-Taylor flow. Zbl 0925.76167
Kolesov, V.; Ovchinnikova, S.; Petrovskaya, N.; Yudovich, V.
1996
$$L_ p$$-estimates of the resolvent of the Stokes operator in infinite tubes. Zbl 0872.76023
Revina, S. V.; Yudovich, V. I.
1996
Uniqueness theorem for the basic nonstationary problem in the dynamics on an ideal incompressible fluid. Zbl 0841.35092
Yudovich, V. I.
1995
Secondary cycle of equilibria in a system with cosymmetry, its creation by bifurcation and impossibility of symmetric treatment of it. Zbl 1055.58500
Yudovich, V. I.
1995
Compressible helical flows. Zbl 0829.76074
Morgulis, A.; Yudovich, V. I.; Zaslavsky, G. M.
1995
The cosymmetric version of the implicit function theorem. Zbl 0860.46030
Yudovich, V.
1995
Cosymmetry, degeneration of solutions of operator equations, and origin of a filtration convection. Zbl 0747.47010
Yudovich, V. I.
1991
Instability of long-wave viscous flows. Zbl 0729.76034
Yudovich, V. I.
1990
The linearization method in hydrodynamical stability theory. Transl. from the Russian by J.R. Schulenberger. Translation edited by Ben Silver. Zbl 0727.76039
Yudovich, V. I.
1989
The stability of the stationary solutions of parabolic equations and of the Navier-Stokes system in the whole space. Zbl 0654.47034
Sazonov, L. I.; Yudovich, V. I.
1988
On the dynamic snap-through of nonlinear elastic system. Zbl 0631.73044
Srubshchik, L. S.; Yudovich, V. I.
1986
Semi-invariant form of equilibrium stability criteria in critical cases. Zbl 0632.58028
Kurakin, L. G.; Yudovich, V. I.
1986
On the offshoot of cycles from equilibriums of inversionly and rotationally symmetric dynamic systems. Zbl 0569.34045
Morshneva, I. V.; Yudovich, V. I.
1985
Linearization method in the hydrodynamic stability theory. (Metod linearizatsii v gidrodinamicheskoj teorii ustojchivosti). Zbl 0553.76038
Yudovich, V. I.
1984
Spectral properties of an oscillatory differential operator on the line. Zbl 0532.47037
Yudovich, V. I.
1983
Influence of spatial modulation of the temperature field on the stability of two-dimensional steady flow in a horizontal layer of fluid. Zbl 0555.76038
Batishchev, V. A.; Kolesov, V. V.; Slitinskaya, S. K.; Yudovich, V. I.
1983
Spectral properties of a class of boundary value problems. Zbl 0487.34016
Barkovskij, Yu. S.; Yudovich, V. I.
1982
Stability and bifurcation of Couette flow in the case of a narrow gap between rotating cylinders. Zbl 0323.76028
Ovchinnikova, S. N.; Yudovich, V. I.
1974
Asymptotisches Verhalten der Eigenwerte des ersten Randwertproblems für eine gewöhnliche Differentialgleichung auf einem langen Segment. Zbl 0298.34019
Esipov, A. A.; Yudovich, V. I.
1974
On the completeness of a system of elementary solutions of the biharmonic equation in a semi-strip. Zbl 0296.35035
Ustinov, Yu. A.; Yudovich, V. I.
1973
Grenzverhalten der Eigenwerte von Randwertproblemen in sich unbeschränkt erweiternden Gebieten. Zbl 0258.47036
Esipov, A. A.; Yudovich, V. I.
1973
Investigation of auto-oscillations of a continuous medium, occurring at loss of stability of a stationary mode. Zbl 0257.34040
Yudovich, V. I.
1972
The onset of auto-oscillations in a fluid. Zbl 0247.76044
Yudovich, V. I.
1971
On the stability of self-oscillations of a liquid. Zbl 0227.76074
Yudovich, V. I.
1970
On stability of forced oscillations of fluid. Zbl 0225.76028
Yudovich, V. I.
1970
An example of loss of stability and generation of a secondary flow in a closed vessel. Zbl 0195.27803
Yudovich, V. I.
1969
Axially symmetric flows of ideal and viscous fluids filling the whole space. Zbl 0172.53405
Uhovskij, M. R.; Yudovich, V. I.
1968
Analysis of secondary steady flow between totating cylinders. Zbl 0191.25401
Ovchinnikova, S. N.; Yudovich, V. I.
1968
Über die Entstehung von Konvektion in einer Flüssigkeitsschicht mit freier Grenze. Zbl 0193.56602
Izakson, V. H.; Yudovich, V. I.
1968
Non-stationary flow of an ideal incompressible liquid. Zbl 0147.44303
Yudovich, V. I.
1967
Free convection and bifurcation. Zbl 0173.28803
Yudovich, V. I.
1967
Stability of convection flows. Zbl 0173.28804
Yudovich, V. I.
1967
Secondary flows and fluid instability between rotating cylinders. Zbl 0153.29703
Yudovich, V. I.
1966
Note on the stability of membrane solutions in the nonlinear theory of plates and shells. Zbl 0163.19507
Srubshchik, L. S.; Yudovich, V. I.
1966
The bifurcation of a rotating flow of liquid. Zbl 0166.46201
Yudovich, V. I.
1966
Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid. Zbl 0148.22307
Yudovich, V. I.
1965
Stability of steady flows of viscous incompressible fluids. Zbl 0139.21901
Yudovich, V. I.
1965
Die allgemeine Form eines linearen Funktionals in $$H_ p'$$. Zbl 0128.34305
Zakharyuta, V. P.; Yudovich, V. I.
1964
Nichtstationäre Strömung einer idealen inkompressiblen Flüssigkeit. Zbl 0129.19402
Yudovich, V. I.
1963
On the equations of steady-state convection. Zbl 0131.41807
Ukhovskij, M. R.; Yudovich, V. I.
1963
The flow of a perfect, incompressible liquid through a given region. Zbl 0139.20502
Yudovich, V. I.
1962
Some estimates for solutions of elliptic equations. (Einige Abschätzungen der Lösungen elliptischer Gleichungen.) Zbl 0161.31101
Yudovich, V. I.
1962
Some bounds for the solutions of elliptic equations. Zbl 0175.11604
Yudovich, V. I.
1962
The asymptotic integration of the system of equations for the large deflection of symmetrically loaded shells of revolution. Zbl 0137.20701
Srubscik, L. S.; Yudovich, V. I.
1962
Some estimates connected with integral operators and with solutions of elliptic equations. Zbl 0144.14501
Yudovich, V. I.
1961
Asymptotic treatment of the equations for large bending of a symmetrically loaded circular plate. Zbl 0111.37402
Srubshchik, L. S.; Yudovich, V. I.
1961
Plane unsteady motion of an ideal incompressible fluid. Zbl 0098.39602
Yudovich, V. I.
1961
Periodic motions of a viscous incompressible fluid. Zbl 0158.23504
Yudovich, V. I.
1960
Steady flow of a viscous fluid. Zbl 0096.41301
Vorovich, I. I.; Yudovich, V. I.
1959
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#### Cited by 623 Authors

 24 Kurakin, Leonid Gennadievich 20 Yudovich, Viktor Iosifovich 13 Tsybulin, Vyacheslav G. 11 Cianchi, Andrea 11 Morgulis, Andrey Borisovich 11 Yang, Yunyan 10 Govorukhin, Vasily N. 10 Kiselev, Alexander A. 8 Levenshtam, Valeriĭ Borisovich 8 Okamoto, Hisashi 8 Ostrovskaya, Irina V. 8 Pick, Luboš 7 Hmidi, Taoufik 7 Il’in, Konstantin Ivanovich 7 Karasözen, Bülent 7 Li, Dong 7 Revina, Svetlana Vasil’evna 6 Kelliher, James P. 6 Kolesov, V. V. 6 Wang, Guodong 5 Cao, Daomin 5 Elgindi, Tarek Mohamed 5 Kim, Sun-Chul 5 Lopes Filho, Milton da Costa 5 Masmoudi, Nader 5 Nguyen Thieu Huy 5 Norkin, Mikhaĭl Viktorovich 5 Nussenzveig Lopes, Helena Judith 5 Slavíková, Lenka 5 Taniuchi, Yasushi 5 Wang, Yamin 5 Zelik, Sergey V. 5 Zlatoš, Andrej 4 Černý, Robert 4 Chen, Zhimin 4 Chepyzhov, Vladimir V. 4 Cozzi, Elaine 4 de Souza, Manassés 4 Dullin, Holger R. 4 Friedlander, Susan Jean 4 Gotoda, Takeshi 4 Hencl, Stanislav 4 Ionescu-Kruse, Delia 4 Iooss, Gérard 4 Marsden, Jerrold Eldon 4 Ovchinnikova, S. N. 4 Sinaĭ, Yakov Grigor’evich 4 Srubshchik, Leonid S. 4 Titi, Edriss Saleh 4 Vasudevan, Shibi 4 Wan, Jie 4 Watanabe, Yoshitaka 4 Worthington, Joachim 4 Zhu, Xiaobao 3 Alberico, Angela 3 Alonso-Orán, Diego 3 Berselli, Luigi Carlo 3 Bethencourt de León, Aythami 3 Brzeźniak, Zdzisław 3 Burton, Geoffrey R. 3 Do Ó, João M. Bezerra 3 Edmunds, David Eric 3 Enciso, Alberto 3 Frischmuth, Kurt 3 Henry, David 3 Ilyin, Alexei A. 3 Jeong, In-Jee 3 Kobayashi, Teppei 3 Korobkov, Mikhail V. 3 Kyed, Mads 3 Latushkin, Yuri 3 Maremonti, Paolo 3 Mateu, Joan 3 Miao, Changxing 3 Musso, Monica 3 Nemtsev, Andrew D. 3 Ogawa, Takayoshi 3 Oskolkov, Anatolii Petrovich 3 Pavlović, Nataša 3 Price, W. Geraint 3 Ruf, Bernhard 3 Sakajo, Takashi 3 Sazonov, Leonid Ivanovich 3 Severo, Uberlandio Batista 3 Shadiev, R. D. 3 Solonnikov, Vsevolod Alekseevich 3 Tintarev, Kyril 3 Troshkin, Oleg V. 3 Vu Thi Ngoc Ha 3 Wang, Xumin 3 Yao, Yao 3 Yoneda, Tsuyoshi 3 Zhang, Mengjie 3 Zheng, Xiaoxin 3 Zhu, Xiangrong 2 Abdelhafez, M. A. 2 Abidi, Hammadi 2 Afendikov, Andrei L. 2 Bardos, Claude Williams 2 Beirão da Veiga, Hugo ...and 523 more Authors
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#### Cited in 163 Serials

 32 Fluid Dynamics 30 Archive for Rational Mechanics and Analysis 28 Journal of Differential Equations 24 Communications in Mathematical Physics 24 Journal of Applied Mathematics and Mechanics 22 Journal of Mathematical Analysis and Applications 22 Siberian Mathematical Journal 18 Journal of Mathematical Fluid Mechanics 13 Mathematical Notes 13 Journal of Functional Analysis 11 Physica D 11 Regular and Chaotic Dynamics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Journal of Nonlinear Science 10 Chaos 9 Journal of Mathematical Sciences (New York) 7 Advances in Mathematics 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Journal of Fluid Mechanics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Prikladnaya Matematika i Mekhanika 6 Mathematische Annalen 6 Computational Mathematics and Mathematical Physics 6 Discrete and Continuous Dynamical Systems 6 Journal of Applied Mechanics and Technical Physics 6 European Journal of Mechanics. B. Fluids 6 Acta Mathematica Sinica. English Series 6 Communications on Pure and Applied Analysis 5 Journal of Soviet Mathematics 5 Japan Journal of Industrial and Applied Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Mathematics 4 Journal of Mathematical Physics 4 Journal of Statistical Physics 4 Journal of Computational and Applied Mathematics 4 Journal of Dynamics and Differential Equations 4 Physics of Fluids 4 Annals of Mathematics. Second Series 4 Differential Equations 4 Proceedings of the Steklov Institute of Mathematics 4 Nelineĭnaya Dinamika 3 Nonlinearity 3 Proceedings of the American Mathematical Society 3 Tohoku Mathematical Journal. Second Series 3 Transactions of the American Mathematical Society 3 Applied Mathematics Letters 3 Communications in Partial Differential Equations 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Bulletin of the American Mathematical Society. New Series 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Evolution Equations 3 Boundary Value Problems 3 Nonlinear Analysis. Theory, Methods & Applications 2 Computer Physics Communications 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation 2 Czechoslovak Mathematical Journal 2 Functional Analysis and its Applications 2 Mathematische Nachrichten 2 Rendiconti del Seminario Matematico della Università di Padova 2 Tokyo Journal of Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics and Mechanics. (English Edition) 2 Computational Mathematics and Modeling 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 2 Russian Journal of Mathematical Physics 2 Mathematical Inequalities & Applications 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Discrete and Continuous Dynamical Systems. Series S 2 Kinetic and Related Models 2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 2 Eurasian Mathematical Journal 2 Analysis and Mathematical Physics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Annals of PDE 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Lithuanian Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Physics Letters. B 1 Physics Reports 1 Reviews of Modern Physics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Soviet Applied Mechanics 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier ...and 63 more Serials
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#### Cited in 36 Fields

 391 Fluid mechanics (76-XX) 360 Partial differential equations (35-XX) 60 Functional analysis (46-XX) 52 Dynamical systems and ergodic theory (37-XX) 37 Ordinary differential equations (34-XX) 27 Operator theory (47-XX) 25 Geophysics (86-XX) 20 Real functions (26-XX) 19 Numerical analysis (65-XX) 17 Mechanics of deformable solids (74-XX) 16 Mechanics of particles and systems (70-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Global analysis, analysis on manifolds (58-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Functions of a complex variable (30-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Probability theory and stochastic processes (60-XX) 5 Potential theory (31-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 5 Biology and other natural sciences (92-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX)

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