[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j170181

GLOBAL EXISTENCE FOR A PARTIALLY LINEAR 3D EULER FLOW

Kim, Namkwon (Department of Mathematics Chosun University)
Lkhagvasuren, Bataa (Department of Mathematics Chosun University)

Publication Information

Journal of the Korean Mathematical Society / v.55, no.1, 2018 , pp. 211-224 More about this Journal

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 ${\partial}_3u_3$ is nonnegative.

Keywords

columnar flow; incompressible Euler equations; Besov spaces;

Citations & Related Records

Reference

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