The stationary Navier–Stokes equation on the whole plane with external force with antisymmetry
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This paper is concerned with the stationary Navier–Stokes equation in the two-dimensional whole plane with external force given by a potential with some symmetry, and gives a condition on the potential sufficient for the existence of a solution of the problem above. This paper also proves the uniqueness of the solution small in appropriate function spaces.
Mathematics Subject Classification (2000)35Q30