Regularity criteria for NSE 4: $\p_3u$

【Regularity criteria for NSE 4: $\p_3u$】的更多相关文章

Regularity criteria for NSE 4: $\p_3u$

In [Zhang, Zujin. An improved regularity criterion for the Navier–Stokes equations in terms of one directional derivative of the velocity field. Bull. Math. Sci. 8 (2018), no. 1, 33--47] we have improved the results in Kukavica and Ziane (J Math Phys…

Regularity criteria for NSE 5: $u_3,\om_3$

In [Zhang, Zujin. Serrin-type regularity criterion for the Navier-Stokes equations involving one velocity and one vorticity component. Czechoslovak Math. J. 68 (2018), no. 1, 219--225], we give an affirmative answer to an open problem in [Penel, Patr…

Regularity criteria for NSE 6: $u_3,\p_3u_1,\p_3u_2$

In [Zujin Zhang, Jinlu Li, Zheng-an Yao, A remark on the global regularity criterion for the 3D Navier-Stokes equations based on end-point Prodi-Serrin conditions, Applied Mathematics Letters, 83 (2018), 182—187], we take full advantage of the regula…

Geometric regularity criterion for NSE: the cross product of velocity and vorticity 4: $u\cdot \om$

在 [Berselli, Luigi C.; Córdoba, Diego. On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity. C. R. Math. Acad. Sci. Paris 347 (2009), no. 11-12, 613--618] 中, 作者证明了如果$$|u(x+y,t)\cdot \om(x,t)|\leq…

Geometric regularity criterion for NSE: the cross product of velocity and vorticity 3: $u\times \f{\om}{|\om|}\cdot \f{\vLm^\be u}{|\vLm^\be u|}$

在 [Chae, Dongho; Lee, Jihoon. On the geometric regularity conditions for the 3D Navier-Stokes equations. Nonlinear Anal. 151 (2017), 265--273] 中, 作者证明了如果$$u\times \f{\om}{|\om|}\cdot \f{\vLm^\be u}{|\vLm^\be u|}\in L^p(0,T;L^q(\bbR^3)),\quad \f{2}{p}…

Geometric regularity criterion for NSE: the cross product of velocity and vorticity 2: $u\times \om\cdot \n\times \om$

在 [Lee, Jihoon. Notes on the geometric regularity criterion of 3D Navier-Stokes system. J. Math. Phys. 53 (2012), no. 7, 073103, 6 pp] 中, 作者证明了如果$$\f{u}{|u|}\times \f{\om}{|\om|}\cdot \f{\n\times \om}{|\n\times \om|}$$充分小, 则解光滑.…

Geometric regularity criterion for NSE: the cross product of velocity and vorticity 1: $u\times \om$

在 [Chae, Dongho. On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations. J. Math. Fluid Mech. 12 (2010), no. 2, 171--180] 中, 作者证明了如果$$u\times\f{\om}{|\om|}\in L^p(0,T;L^q(\bbR^3)),\quad\f{2}{p}+\f{3}{q}=1,\quad 3<q\…