The limiting uniqueness criterion by vorticity for Navier-Stokesequations in Besov space

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概要

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• We investigate a limiting uniqueness criterion in terms of the vorticity for the Navier-Stokes equations in the Besov space. We prove that Leray-Hopf's weak solution is unique under an auxiliary assumption that the vorticity belongs to a scale characterized by the Besov space in space, and the Orlicz space in time direction. As a corollary, we give also the uniqueness criterion in terms of bounded mean oscillation (BMO).

• 東北大学の論文

著者

• OGAWA Takayoshi

  Graduate School of Mathematics, Kyushu University

• Ogawa Takayoshi

  Graduateschool Of Mathematics Kyushu University

• Taniuchi Yasushi

  Department of MathematicalSciences, Faculty of Science, ShinshuUniversity

• Taniuchi Yasushi

  Department Of Mathematicalsciences Faculty Of Science Shinshuuniversity

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• The limiting uniqueness criterion by vorticity for Navier-Stokesequations in Besov space

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