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math.AP2024
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…
math.AP2012★ 3 cited
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…
math.AP2000
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.