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20082019
most citedPotentially Singular Solutions of the 3D Incompressible Euler Equations

163 citations · 214 across the 7 of their papers we have counts for

collaborators

7 papers

q-fin.CP2019★ 1 cited

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…

math.AP2014★ 34 cited

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…

math.AP2013★ 13 cited

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…

physics.flu-dyn2013★ 163 cited

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…

math.AP2012★ 1 cited

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…

math.AP2009

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…