14 citations · 18 across the 6 of their papers we have counts for
6 papers
Complex Analytic Structure of Stationary Flows of an Ideal Incompressible Fluid
Aleksander Danielski, Alexander Shnirelman
In this article we introduce the structure of an analytic Banach manifold in the set of stationary flows without stagnation points of the ideal incompressible fluid in a periodic 2…
The true story of the Quantum Ergodic Theorem
Alexander Shnirelman
The story on the early days of the Quantum Ergodic Theorem. Alternative proof, underlying heuristics, physical analogies and interpretations.
Geometric Hydrodynamics in Open Problems
Boris Khesin, Gerard Misiolek, Alexander Shnirelman
Geometric Hydrodynamics has flourished ever since the celebrated 1966 paper of V. Arnold. In this paper we present a collection of open problems along with several new construction…
On the Analyticity of Particle Trajectories in the Ideal Incompressible Fluid
Alexander Shnirelman
A new proof is given of the fact that the particle trajectories of the ideal incompressible fluid are analytic curves, though the solutions of the Euler equations may have a finite…
On the L^2-stability and L^2 controllability of steady flows of an ideal incompressible fluid
Alexander Shnirelman
The author studies the flows of an ideal incompressible fluid in a 2-dimensional domain, and in particular questions of instability and controllability.
On the asymptotic geometry of the hyperbolic plane
Iosif Polterovich, Alexander Shnirelman
Asymptotic subcone of an unbounded metric space is another metric space, capturing the structure of the original space at infinity. In this paper we define a functional metric spac…