Direction of vorticity and a new regularity criterion for the Navier-Stokes equations

• Autores: Y. Zhou
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 46, Nº 3, 2005, págs. 309-316
• Idioma: inglés
• DOI: 10.1017/s1446181100008270
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• Resumen

  • In this paper, we prove a new regularity criterion in terms of the direction of vorticity for the weak solution to 3-D incompressible Navier-Stokes equations. Under the framework of Constantin and Fefferman, a more relaxed regularity criterion in terms of the direction of vorticity is established.