A Sufficient Condition of Regularity for Axially Symmetric Solutions to the Navier-Stokes Equations
نویسندگان
چکیده
In the present paper, we prove a sufficient condition of local regularity for suitable weak solutions to the Navier-Stokes equations having axial symmetry. Our condition is an axially symmetric analog of the so-called L3,∞-case in the general local regularity theory. 1991 Mathematical subject classification (Amer. Math. Soc.): 35K, 76D.
منابع مشابه
On Type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations
Local regularity of axially symmetric solutions to the NavierStokes equations is studied. It is shown that under certain natural assumptions there are no singularities of Type I. 1991 Mathematical subject classification (Amer. Math. Soc.): 35K, 76D.
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 39 شماره
صفحات -
تاریخ انتشار 2007