Existence of solutions for three dimensional stationary incompressible Euler equations with nonvanishing vorticity

Abstract

In this paper, solutions with nonvanishing vorticity are established for the three dimensional stationary incompressible Euler equations on simply connected bounded three dimensional domains with smooth boundary. A class of additional boundary conditions for the vorticities are identified so that the solution is unique and stable.

Keywords

Three dimensional stationary incompressible Euler equations / Boundary value condition / Nonvanishing vorticity

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