[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2018.31.1.363

VORTEX CURVATURE EQUATIONS ON VORTEX SURFACES

Pak, Hee Chul (Department of Mathematics Dankook University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.31, no.4, 2018 , pp. 363-368 More about this Journal

Abstract

The aim of this work is to derive a partial differential equation that explains the movement of vortex lines on a vortex trajectory surface in a three dimensional incompressible inviscid flow.

Keywords

Euler flow; geodesic curvature; incompressible; inviscid; vorticity; vortex lines;

Citations & Related Records

Reference

1	M. do Carmo, Differential geometry of curves and surfaces, Englewood Cliffs, NJ : Prentice-Hall, 1976.
2	A. Majda and A. Bertozzi, Vorticity and incompressible flow, Cambridge University Press, 2002.
3	H. Pak and Y. Park, Existence of solution for the Euler equations in a critical Besov space $B_{{\infty},1}^{1}({\mathbb{R}}^n)$ , Commun. Part. Differ. Eq. 29 (2004), 1149-1166. DOI
4	H. Pak, Remark on particle trajectory ows with unbounded vorticity, J. Chungcheong Math. Soc. 27 (2014), no. 4, 635-641. DOI