Journal of the Korean Society for Industrial and Applied Mathematics

  • 제16권4호
  • /
  • Pages.243-248
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  • 2012
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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CRITERION FOR BLOW-UP IN THE EULER EQUATIONS VIA CERTAIN PHYSICAL QUANTITIES

  • Kim, Namkwon (DEPARTMENT OF MATHEMATICS, CHOSUN UNIVERSITY)
  • 투고 : 2012.11.19
  • 심사 : 2012.12.07
  • 발행 : 2012.12.25
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초록

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.

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참고문헌

  1. H. Bae, B. Jin, and N. Kim, On the localized blow-up of the 3D incompressible Euler equations, preprint, 2012
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