Computer-assisted proof for the stationary solution existence of the Navier--Stokes equation over 3D domains

Xuefeng Liu, Mitsuhiro T Nakao, Shin'ichi Oishi

The verified computing with assistance of computers has proved to be a promising approach to investigate the solution existence to nonlinear equation systems. In this paper, the latest progress about the solution verification for the stationary Navier--Stokes equation over a non-convex 3D domain is reported.

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