6 citations · 6 across the 7 of their papers we have counts for
7 papers
Lower bound on the blow-up rate of the 3D Navier-Stokes equations in H^{5/2}
Abdelhafid Younsi
Under assumption that is the maximal time of existence of smooth solution of the 3D Navier-Stokes equations in the Sobolev space , we establish lower bounds for t…
Global regularity criterion for the 3D Navier-Stokes equations with large data
Abdelhafid Younsi
In this paper, we study the global regularity of strong solution to the Cauchy problem of 3D incompressible Navier-Stokes equations with large data and non-zero force. We prove tha…
Regularity Criteria For Strong Solutions To The 3D Navier-Stokes Equations
Abdelhafid Younsi
In this paper, we study the regularity problem of the 3D incompressible NavierñStokes equations. We prove that the strong solution exists globally for new regularity criteria. For…
Uniqueness criterion of weak solutions for the 3D Navier-Stokes equations
Abdelhafid Younsi
In this paper we establish a new uniqueness result of weak solutions for the 3D Navier-Stokes equations. Under assumption that there is not uniqueness of weak solution in singular…
Effect of hyperviscosity on the Navier-Stokes turbulence
Abdelhafid Younsi
In this paper we modified the Navier-Stokes equations by adding a higher order artificial viscosity term to the conventional system. We first show that the solution of the regulari…
Hausdorff measure of Vorticity Nodal Sets for the 3D Hyperviscous Navier Stokes Equations with General forces
Abdelhafid Younsi
In this paper, we modified the three dimensional Navier-Stokes equations by adding a l-Laplacian. We provide upper bounds on the two-dimensional Hausdorff measure the level sets of…