5 citations · 6 across the 9 of their papers we have counts for
10 papers
A Liouville theorem for the two-dimensional stationary hypodissipative Navier--Stokes system
Nicola De Nitti, Lukas Niebel, Jiaqi Yang
We study the two-dimensional stationary incompressible Navier--Stokes equations on with fractional dissipation . In the full range , we prove tha…
Pure-swirl loss of boundedness under forcing: exact mixed-norm ranges
Hugo Beirão da Veiga, Jiaqi Yang
We construct an explicit pure-swirl solution of the forced three-dimensional Navier--Stokes equations in a circular cylinder. For every and with …
A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms
Hugo Beirão da Veiga, Jiaqi Yang
Recently Qi S. Zhang provides examples of solutions to the Navier-Stokes equations which, under suitable hypothesis, blow up in finite time. He considers axially symmetric solution…
On a set of some recent contributions to energy equality for the Navier-Stokes equations
Hugo Beirão da Veiga, Jiaqi Yang
In these notes we want, in addition to presenting some new results, to both clean up and refine some reflections on a couple of articles published on paper a few years ago, 2019-20…
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,…
On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces
Hugo Beirão da Veiga, Jiaqi Yang
In this paper we derive regular criteria in Lorentz spaces for Leray-Hopf weak solutions of the three-dimensional Navier-Stokes equations based on the formal equivalence relati…
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 energy equality for solutions to Newtonian and non-Newtonian fluids
Hugo Beirao da Veiga, Jiaqi Yang
We are concerned with the energy equality for weak solutions to Newtonian and non-Newtonian incompressible fluids. In particular, the results obtained for non-Newtonian fluids, aft…