Regularity of a Weak Solution to the Navier-Stokes Equations via One Component of a Spectral Projection of Vorticity
نویسندگان
چکیده
The lecture is motivated by the regularity criteria, showing that some particular quantities (one or two components of velocity, two components of vorticity, some chosen components of the gradient of velocity, etc) control the regularity of a weak solution to the Navier–Stokes equations. We show that a certain spectral projection of vorticity, or even one its component, also belong to such quantities.
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 46 شماره
صفحات -
تاریخ انتشار 2014