Publications (7)
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…
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…
Pointwise Inequalities for Elliptic Boundary Value Problems
Guo Luo, Vladimir G. Maz'ya
We introduce a new approach to obtaining pointwise estimates for solutions of elliptic boundary value problems when the operator being considered satisfies a certain type of weight…
Potentially Singular Solutions of the 3D Incompressible Euler Equations
Guo Luo, Thomas Y. Hou
Whether the 3D incompressible Euler equations can develop a singularity in finite time from smooth initial data is one of the most challenging problems in mathematical fluid dynami…
A simple and efficient numerical method for pricing discretely monitored early-exercise options
Min Huang, Guo Luo
We present a simple, fast, and accurate method for pricing a variety of discretely monitored options in the Black-Scholes framework, including autocallable structured products, sin…
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…
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…