DOI QR코드

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GLOBAL EXISTENCE FOR A PARTIALLY LINEAR 3D EULER FLOW

  • 투고 : 2017.03.09
  • 심사 : 2017.10.25
  • 발행 : 2018.01.01

초록

We consider a certain three dimensional Euler flow with infinite energy, which is sometimes called the columnar or two and half dimensional flow. We prove the global smoothness of such flow in ${\mathbb{R}}^3$ when the initial data is in some Sobolev or Besov spaces and ${\partial}_3u_3$ is nonnegative.

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참고문헌

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