2 papers
math.AP2024
Analytic Structure of Stationary Flows of an Ideal Fluid with a Stagnation Point
Aleksander Danielski
The flow of an ideal fluid possesses a remarkable property: despite limited regularity of the velocity field, its particle trajectories are analytic curves. In our previous work, t…
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…