163 citations · 214 across the 7 of their papers we have counts for
5 papers · 1 filter
On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations
Kyudong Choi, Thomas Y. Hou, Alexander Kiselev +3
In connection with the recent proposal for possible singularity formation at the boundary for solutions of 3d axi-symmetric incompressible Euler's equations (Luo and Hou, 2013), we…
On the Finite-Time Blowup of a 1D Model for the 3D Incompressible Euler Equations
Thomas Y. Hou, Guo Luo
We study a 1D model for the 3D incompressible Euler equations in axisymmetric geometries, which can be viewed as a local approximation to the Euler equations near the solid boundar…
On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations
Thomas Y. Hou, Zhen Lei, Guo Luo +2
We investigate the large time behavior of an axisymmetric model for the 3D Euler equations. In \cite{HL09}, Hou and Lei proposed a 3D model for the axisymmetric incompressible Eule…
Wiener Type Regularity of a Boundary Point for the 3D Lamé System
Guo Luo, Vladimir G. Maz'ya
In this paper, we study the 3D Lamé system and establish its weighted positive definiteness for a certain range of elastic constants. By modifying the general theory developed in M…
Integral formulation of 3-D Navier-Stokes and longer time existence of smooth solutions
O. Costin, G. Luo, S. Tanveer
We consider the 3-D Navier-Stokes initial value problem, where is…