An Example about Rates of the Convergence of Motions of the Two-dimensional Incompressible Fluids as Viscosity goes to 0

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  • 粘性が0に近づくときの2次元非圧縮流の収束の速さについての例
  • ネンセイ ガ 0 ニ チカズク トキ ノ 2ジゲン ヒアッシュクリュウ ノ シュウソク ノ ハヤサ ニ ツイテ ノ レイ

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Under the condition that the initial vorticity satisfies and as , we prove solutions of 2 dim. Navier-Stokes equations converge solutions of 2 dim. Euler equations with rates of as the viscosity goes to 0. At the time of , the above rate of the convergence becomes in particular the necessary condition.

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