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Global existence for a partially linear 3D Euler flow

김남권|LKHAGVASURENBATAA
대한수학회 (The Korean Mathematical Society)|2018.01|대한수학회지 (Journal of the KMS)|제55권 제1호|pp. 211-224

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키워드

Besov spacescolumnar flowincompressible Euler equations
주제분류수학

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 $\partial_3 u_3$ is nonnegative.

Abstract

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 $\partial_3 u_3$ is nonnegative.

참고문헌 (17)

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