| Autore |
Arnold Vladimir I
|
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa |
Berlin : , : Springer, , 2014
|
| Descrizione fisica |
1 online resource (xiii, 464 pages) : illustrations
|
| Disciplina |
510.92
|
| Collana |
Vladimir I. Arnold - Collected Works
|
| Soggetto topico |
Hydrodynamics
Bifurcation theory
Geometry, Algebraic
|
| ISBN |
3-642-31031-1
|
| Formato |
Materiale a stampa  |
| Livello bibliografico |
Monografia |
| Lingua di pubblicazione |
eng
|
| Nota di contenuto |
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 -- 7 On the differential geometry of infinite-dimensional Lie groups and its application to the hydrodynamics of perfect fluids -- 8 On a variational principle for the steady flows of perfect fluids and its application to problems of non-linear stability -- 9 Characteristic class entering in quantization conditions -- 10 A note on Weierstrass auxiliary theorem -- 11 A letter to the editors (in Russian) -- 12 The stability problem and ergodic properties for classical dynamical systems -- 13 Remark on the branching of hyperelliptic integrals as functions of the parameters -- 14 Singularities of smooth mappings -- 15 Braids of algebraic functions and the cohomology of swallowtails -- 16 Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid -- 17 Remarks on singularities of finite codimension in complex dynamical systems -- 18 One-dimensional cohomologies of the Lie algebras of non-divergence vector fields, and rotation numbers of dynamic systems -- 19 The cohomology ring of the colored braid group -- 20 Trivial problems -- 21 Cohomology classes of algebraic functions invariant under Tschirnhausen transformations -- 22 Local Problems of Analysis -- 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) -- 24 On some topological invariants of algebraic functions -- 25 Topological invariants of algebraic functions II -- 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 -- 27 On matrices depending on parameters -- 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 -- 29 Versal families and bifurcations of differential equations (in Russian) -- 30 Notes on the three-dimensional flow pattern of a perfect fluid in the presence of a small perturbation of the initial velocity field -- 31 Lectures on bifurcations in versal families -- 32 The topology of real algebraic curves (in Russian) -- 33 The asymptotic Hopf invariant and its applications -- 34 Magnetic field in a moving conducting fluid -- 35 A magnetic field in a stationary flow with stretching in a Riemannian space -- 36 The large-scale structure of the universe I. General properties. One- and two-dimensional models -- 37 Elements of the large-scale structure of the universe -- 38 Some remarks on the antidynamo theorem -- 39 Steady-state magnetic field in a periodic flow -- 40 Evolution of a magnetic field under the action of transfer and diffusion -- 41 The growth of a magnetic field in a three-dimensional steady incompressible fluid -- 42 Evolution of a magnetic field under the action of drift and diffusion (in Russian) -- 43 Exponential scattering of trajectories and its hydrodynamical applications -- 44 Kolmogorov's hydrodynamic attractors -- 45 Topological methods in hydrodynamics -- 46 Problemes mathématiques de l'hydrodynamique et de la magnétohydrodynamique (in English) -- 47 Translator's Preface to J. Milnor's book "Morse Theory" -- 48 Henri Poincaré: Selected Works in Three Volumes. Vol. I New Methods of Celestial Mechanics - Preface. From the editorial board. Comments -- 49 Comments on the paper "On a geometric theorem" by Henri Poincaré.
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| Record Nr. | UNINA-9910299963503321 |
Info
2: Hydrodynamics, bifurcation theory, and algebraic geometry 1965-1972 / Vladimir I. Arnold ; Alexander B. Givental ... [et al.] editors
