Regularity for Suitable Weak Solutions to the Navier-Stokes Equations in Critical Morrey Spaces
نویسنده
چکیده
A class of sufficient conditions of local regularity for suitable weak solutions to the nonstationary three-dimensional Navier-Stokes equations are discussed. The corresponding results are formulated in terms of functionals which are invariant with respect to the Navier-Stokes equations scaling. The famous Caffarelli-Kohn-Nirenberg condition is contained in that class as a particular case. 1991 Mathematical subject classification (Amer. Math. Soc.): 35K, 76D.
منابع مشابه
Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces
We prove some estimates for suitable weak solutions to the nonstationary three-dimensional Navier-Stokes equations under assumptions that certain invariant functionals of the velocity field are bounded. 1991 Mathematical subject classification (Amer. Math. Soc.): 35K, 76D.
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