Givental, Alexander B.
Vladimir I. Arnold - Collected Works
1. A Variational principle for three-dimensional steady flows of an ideal fluid
Vladimir I. Arnold
2. On the Riemann curvature of diffeomorphism groups
Vladimir I. Arnold
3. Sur la topologie des écoulements stationnaires des fluides parfaits
Vladimir I. Arnold
4. Conditions for non-linear stability of stationary plane curvilinear flows of an ideal fluid
Vladimir I. Arnold
5. On the topology of three-dimensional steady flows of an ideal fluid
Vladimir I. Arnold
6. On an a priori estimate in the theory of hydrodynamical stability
Vladimir I. Arnold
7. On the differential geometry of infinite-dimensional Lie groups and its application to the hydrodynamics of perfect fluids
Vladimir I. Arnold
8. On a variational principle for the steady flows of perfect fluids and its application to problems of non-linear stability
Vladimir I. Arnold
9. On a characteristic class arising in quantization conditions
Vladimir I. Arnold
10. A note on the Weierstrass preparation theorem
Vladimir I. Arnold
11. The stability problem and ergodic properties for classical dynamical systems
Vladimir I. Arnold
12. A remark on the ramification of hyperelliptic integrals as functions of parameters
Vladimir I. Arnold
13. Singularities of smooth mappings
Vladimir I. Arnold
14. Remarks on singularities of finite codimension in complex dynamical systems
Vladimir I. Arnold
15. Braids of algebraic functions and the cohomology of swallowtails
Vladimir I. Arnold
16. Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid
Vladimir I. Arnold
17. On one-dimensional cohomology of the Lie algebra of divergence-free vector fields and on rotation numbers of dynamic systems
Vladimir I. Arnold
18. The cohomology ring of the colored braid group
Vladimir I. Arnold
19. On cohomology classes of algebraic functions invariant under Tschirnhausen transformations
Vladimir I. Arnold
20. Trivial problems
Vladimir I. Arnold
21. Local problems of analysis
Vladimir I. Arnold
22. Algebraic unsolvability of the problem of stability and the problem of the topological classification of the singular points of analytic systems of differential equations
Vladimir I. Arnold
23. On some topological invariants of algebraic functions
Vladimir I. Arnold
24. Topological invariants of algebraic functions II
Vladimir I. Arnold
25. Algebraic unsolvability of the problem of Lyapunov stability and the problem of topological classification of singular points of an analytic system of differential equations
Vladimir I. Arnold
26. On the arrangement of ovals of real plane algebraic curves, involutions of four-dimensional smooth manifolds, and the arithmetic of integral quadratic forms
Vladimir I. Arnold
27. The topology of real algebraic curves
Vladimir I. Arnold
28. On matrices depending on parameters
Vladimir I. Arnold
29. Lectures on bifurcations in versal families
Vladimir I. Arnold
30. Versal families and bifurcations of differential equations
Vladimir I. Arnold
31. Remarks on the behaviour of flow of a three-dimensional perfect fluid in the presence of a small perturbation of the initial velocity field
Vladimir I. Arnold
32. The asymptotic Hopf invariant and its applications
Vladimir I. Arnold
33. A magnetic field in a moving conducting fluid
Vladimir I. Arnold
34. A magnetic field in a stationary flow with stretching in a Riemannian manifold fluid
Vladimir I. Arnold
35. Stationary magnetic field in a periodic flow fluid
Vladimir I. Arnold
36. Some remarks on the antidynamo theorem
Vladimir I. Arnold
37. Evolution of a magnetic field under the action of transfer and diffusion
Vladimir I. Arnold
38. The growth of a magnetic field in a three-dimensional steady incompressible flow
Vladimir I. Arnold
39. Evolution of a magnetic field under the action of drift and diffusion
Vladimir I. Arnold
40. Exponential scattering of trajectories and its hydrodynamical applications
Vladimir I. Arnold
41. Kolmogorov’s hydrodynamic attractors
Vladimir I. Arnold
42. Topological methods in hydrodynamics
Vladimir I. Arnold
43. Translator’s Preface to J. Milnor’s book ″Morse Theory″
Vladimir I. Arnold
44. Henri Poincaré: Selected Works in Three Volumes. Vol. I New Methods of Celestial Mechanics - Preface. From the editorial board. Comments
Vladimir I. Arnold
45. Comments on the paper “On a geometric theorem” by Henri Poincaré
Vladimir I. Arnold
Keywords: Mathematics, Mathematical Applications in the Physical Sciences, Algebraic Geometry, Mathematical Methods in Physics
- Author(s)
- Givental, Alexander B.
- Khesin, Boris A.
- Varchenko, Alexander N.
- Vassiliev, Victor A.
- Viro, Oleg Ya.
- Arnold, Vladimir I.
- Publisher
- Springer
- Publication year
- 2014
- Language
- en
- Edition
- 2014
- Series
- Vladimir I. Arnold - Collected Works
- Page amount
- 13 pages
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9783642310317