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http://dx.doi.org/10.12941/jksiam.2012.16.4.243

CRITERION FOR BLOW-UP IN THE EULER EQUATIONS VIA CERTAIN PHYSICAL QUANTITIES

Kim, Namkwon (DEPARTMENT OF MATHEMATICS, CHOSUN UNIVERSITY)

Publication Information

Journal of the Korean Society for Industrial and Applied Mathematics / v.16, no.4, 2012 , pp. 243-248 More about this Journal

Abstract

We consider the (possible) finite time blow-up of the smooth solutions of the 3D incompressible Euler equations in a smooth domain or in $R^3$ . We derive blow-up criteria in terms of $L^{\infty}$ of the partial component of Hessian of the pressure together with partial component of the vorticity.

Keywords

Euler equations; blow-up; criterion;

Citations & Related Records

Reference

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