1 Variational principle for three-dimensional steady-state flows of an ideal fluid |
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2 On the Riemann curvature of diffeomorphism groups |
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3 Sur la topologie des écoulements stationnaires des fluides parfaits (in French) |
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4 Conditions for non-linear stability of stationary plane curvilinear flows of an ideal fluid |
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5 On the topology of three-dimensional steady flows of an ideal fluid |
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6 On an a priori estimate in the theory of hydrodynamical stability |
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7 On the differential geometry of infinite-dimensional Lie groups and its application to the hydrodynamics of perfect fluids |
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8 On a variational principle for the steady flows of perfect fluids and its application to problems of non-linear stability |
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9 Characteristic class entering in quantization conditions |
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10 A note on Weierstrass auxiliary theorem |
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11 A letter to the editors (in Russian) |
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12 The stability problem and ergodic properties for classical dynamical systems |
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13 Remark on the branching of hyperelliptic integrals as functions of the parameters |
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14 Singularities of smooth mappings |
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15 Braids of algebraic functions and the cohomology of swallowtails |
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16 Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid |
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17 Remarks on singularities of finite codimension in complex dynamical systems |
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18 One-dimensional cohomologies of the Lie algebras of non-divergence vector fields, and rotation numbers of dynamic systems |
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19 The cohomology ring of the colored braid group |
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20 Trivial problems |
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21 Cohomology classes of algebraic functions invariant under Tschirnhausen transformations |
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22 Local Problems of Analysis |
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23 Algebraic unsolvability of the problem of stability and the problem of the topological classification of the singular points of analytic systems of differential equations (in Russian) |
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24 On some topological invariants of algebraic functions |
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25 Topological invariants of algebraic functions II |
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26 Algebraic unsolvability of the problem of Ljapunov stability and the problem of the topological classification of singular points of an analytic system of differential equations |
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27 On matrices depending on parameters |
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28 Distribution of ovals of the real plane of algebraic curves of involutions of four-dimensional smooth manifolds and the arithmetic of integer valued quadratic forms |
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29 Versal families and bifurcations of differential equations (in Russian) |
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30 Notes on the three-dimensional flow pattern of a perfect fluid in the presence of a small perturbation of the initial velocity field |
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31 Lectures on bifurcations in versal families |
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32 The topology of real algebraic curves (in Russian) |
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33 The asymptotic Hopf invariant and its applications |
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34 Magnetic field in a moving conducting fluid |
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35 A magnetic field in a stationary flow with stretching in a Riemannian space |
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36 The large-scale structure of the universe I. General properties. One- and two-dimensional models |
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37 Elements of the large-scale structure of the universe |
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38 Some remarks on the antidynamo theorem |
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39 Steady-state magnetic field in a periodic flow |
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40 Evolution of a magnetic field under the action of transfer and diffusion |
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41 The growth of a magnetic field in a three-dimensional steady incompressible fluid |
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42 Evolution of a magnetic field under the action of drift and diffusion (in Russian) |
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43 Exponential scattering of trajectories and its hydrodynamical applications |
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44 Kolmogorov's hydrodynamic attractors |
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45 Topological methods in hydrodynamics |
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46 Problemes mathématiques de l'hydrodynamique et de la magnétohydrodynamique (in English) |
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47 Translator's Preface to J. Milnor's book "Morse Theory" |
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48 Henri Poincaré: Selected Works in Three Volumes. Vol. I New Methods of Celestial Mechanics - Preface. From the editorial board. Comments |
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49 Comments on the paper "On a geometric theorem" by Henri Poincaré |
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1 Variational principle for three-dimensional steady-state flows of an ideal fluid |
|
2 On the Riemann curvature of diffeomorphism groups |
|
3 Sur la topologie des écoulements stationnaires des fluides parfaits (in French) |
|
4 Conditions for non-linear stability of stationary plane curvilinear flows of an ideal fluid |
|
5 On the topology of three-dimensional steady flows of an ideal fluid |
|
6 On an a priori estimate in the theory of hydrodynamical stability |
|