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Partial regularity of suitable weak solutions of the model arising in amorphous molecular beam epitaxy
Yanqing Wang, Yike Huang, Gang Wu +1
In this paper, we are concerned with the precise relationship between the Hausdorff dimension of possible singular point set of suitable weak solutions and the parame…
On Endpoint Regularity Criterion of the 3D Navier-Stokes equations
Zhouyu Li, Daoguo Zhou
Let with be a suitable weak solution of the three dimensional Navier-Stokes equations in . Denote by $\dot{\mathcal{B}}^{-1}_{…
-regularity criteria in anisotropic Lebesgue spaces and Leray's self-similar solutions to the 3D Navier-Stokes equations
Yanqing Wang, Gang Wu, Daoguo Zhou
In this paper, we establish some -regularity criteria in anisotropic Lebesgue spaces for suitable weak solutions to the 3D Navier-Stokes equations as follows: $$ \lims…
A -regularity criterion without pressure of suitable weak solutions to the Navier-Stokes equations at one scale
Yanqing Wang, Gang Wu, Daoguo Zhou
In this paper, we continue our work in [15] to derive ε-regularity criteria at one scale without pressure for suitable weak solutions to the Navier-Stokes equations. We establish a…
On Wolf's regularity criterion of suitable weak solutions to the Navier-Stokes equations
Quansen Jiu, Yanqing Wang, Daoguo Zhou
In this paper, we consider the local regularity of suitable weak solutions to the 3D incompressible Navier-Stokes equations. By means of the local pressure projection introduced by…
Regularity of Solutions to the Navier-Stokes equations in
Gregory Seregin, Daoguo Zhou
We prove that if is a suitable weak solution to the three dimensional Navier-Stokes equations from the space , then all scaled ene…