Two-dimensional Gavrilov flows

Аннотация

A steady solution to the Euler equations is called a Gavrilov flow if the velocity vector is orthogonal to the pressure gradient at any
point. Such flows can be localized that yields compactly supported solutions to the Euler equations. Gavrilov flows exist in dimentions 2 and 3. We present a complete description of two-dimensional Gavrilov flows.