Journal of the Korean Society for Industrial and Applied Mathematics

  • 제15권2호
  • /
  • Pages.143-150
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  • 2011
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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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GLOBAL EXISTENCE FOR 3D NAVIER-STOKES EQUATIONS IN A THIN PERIODIC DOMAIN

  • Kwak, Min-Kyu (DEPARTMENT OF MATHEMATICS, CHONNAM NATIONAL UNIVERSITY) ;
  • Kim, Nam-Kwon (DEPARTMENT OF MATHEMATICS, CHOSUN UNIVERSITY)
  • 투고 : 2011.05.20
  • 심사 : 2011.06.05
  • 발행 : 2011.06.25
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초록

We consider the global existence of strong solutions of the 3D incompressible Navier-Stokes equations in a thin periodic domain. We present a simple proof that a strong solution exists globally in time when the initial velocity in $H^1$ and the forcing function in $L^p$(0,${\infty}$;$L^2$), $2{\leq}p{\leq}{\infty}$ satisfy certain condition. This condition is basically similar to that by Iftimie and Raugel[7], which covers larger and larger initial data and forcing functions as the thickness of the domain ${\epsilon}$ tends to zero.

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참고문헌

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피인용 문헌

  1. REGULARITY OF SOLUTIONS OF 3D NAVIER-STOKES EQUATIONS IN A LIPSCHITZ DOMAIN FOR SMALL DATA vol.50, pp.3, 2011, https://doi.org/10.4134/bkms.2013.50.3.753