Critical one component anisotropic regularity for 3-DNavier-Stokes system
نویسندگان
چکیده
منابع مشابه
Regularity Criteria of the Three-dimensional Mhd System Involving One Velocity and One Vorticity Component
We obtain a regularity criteria of the solution to the three-dimensional magnetohydrodynamics system to remain smooth for all time involving only one velocity and one vorticity component. Moreover, the norm in space and time with which we impose our criteria for the vorticity component is at the scaling invariant level. The proof requires a new decomposition of the four nonlinear terms making u...
متن کاملBesov Regularity for the Stokes System in Polyhedral Cones
In this paper we study the regularity of solutions to the Stokes system in polyhedral domains contained in R 3. We consider the scale B s τ (L τ), 1/τ = s/3 + 1/2 of Besov spaces which arise in connection with adaptive numerical shemes. The proof of the main result is performed by combining regularity results in weighted Sobolev spaces with characterizations of Besov spaces by wavelet expansions.
متن کاملSharp trace regularity for an anisotropic elasticity system
In this paper, we establish an optimal trace regularity theorem, also known as the hidden regularity theorem [L2], for the anisotropic linear elasticity equation on a bounded domain Ω with Lipschitz boundary. In its simplest form it provides a space-time L estimate for the trace of the normal derivative for the solution. Over the years, such sharp trace regularity theorems have proven to be cru...
متن کاملRegularity of Leray-hopf Solutions to Navier-stokes Equations (i)-critical Regularity in Weak Spaces
We consider the regularity of Leray-Hopf solutions to impressible Navier-Stokes equations on critical case u ∈ L 2 w (0, T ; L ∞ (R 3)). By a new embedding inequality in Lorentz space we prove that if u L 2 w (0,T ;L ∞ (R 3)) is small then as a Leray-Hopf solution u is regular. Particularly, an open problem proposed in [8] is solved.
متن کاملRegularity of Leray-hopf Solutions to Navier-stokes Equations (i)-critical Interior Regularity in Weak Spaces
We consider the interior regularity of Leray-Hopf solutions to Navier-Stokes equations on critical case u ∈ L 2 w (0, T ; L ∞ (R 3)) was obtained. By a new embedding inequality in Lorentz space we proved that if u L 2 w (0,T ;L ∞ (R 3)) is small then the Leray-Hopf solutions are regular. Particularly, an open problem proposed in [KK] was solved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2018
ISSN: 1674-7216
DOI: 10.1360/n012018-00020