5 citations · 17 across the 12 of their papers we have counts for
12 papers
Double periodic viscous flows in infinite space-periodic pipes
Hugo Beirao da Veiga, Jiaqi Yang
We study the motion of an incompressible fluid in an -dimensional infinite pipe $\,\La\,$ with an -periodic shape in the direction. We set $\,x=(x_1,x_2,\cdots,…
Onsager's Conjecture for the Incompressible Euler Equations in the Hölog Spaces
Hugo Beirão da Veiga, Jiaqi Yang
In this note we extend a 2018 result of Bardos and Titi \cite{BT} to a new class of functional spaces . It is shown that weak solutions satisfy the energy…
On the Shinbrot's criteria for energy equality to Newtonian fluids: A simplified proof, and an extension of the range of application
Hugo Beirão da Veiga, Jiaqi Yang
We show that the classical Shinbrot's criteria to guarantee that a Leray-Hopf solution satisfies the energy equality follows trivially from the Lions-Prodi…
Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components
Hugo Beirao da Veiga, Jiaqi Yang
H.-O. Bae and H.J. Choe, in a 1997 paper, established a regularity criteria for the incompressible Navier-Stokes equations in the whole space based on two velocity component…
On the extension to slip boundary conditions of a Bae and Choe regularity criterion for the Navier-Stokes equations. The half-space case
Hugo Beirao da Veiga
This notes concern the sufficient conditions for regularity of solutions to the evolution Navier-Stokes equations known in the literature as Prodi-Serrin's condition. H.-O. Bae and…
Open problems concerning the Holder continuity of the direction of vorticity for the Navier-Stokes equations
Hugo Beirao da Veiga
In these notes we consider solutions u to the evolution three dimensional Navier-Stokes equations in the whole space. Set w= curl u, the vorticity of u. Our study concerns mainly t…