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papers

Publications (19)

cs.CE2008

Removing the Stiffness of Elastic Force from the Immersed Boundary Method for the 2D Stokes Equations

Thomas Y. Hou, Zuoqiang Shi

math.AP2012

Finite Time Blow-up of a 3D Model for Incompressible Euler Equations

Thomas Y. Hou, Zhen Lei

math.AP2011

On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity

Thomas Y. Hou, Zuoqiang Shi, Shu Wang

math.AP2013

On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations

Thomas Y. Hou, Zhen Lei, Guo Luo +2

math.AP2013

On the Finite-Time Blowup of a 1D Model for the 3D Incompressible Euler Equations

Thomas Y. Hou, Guo Luo

physics.flu-dyn2006

Numerical Study of Nearly Singular Solutions of the 3-D Incompressible Euler Equations

Thomas Y. Hou, Ruo Li

math-ph2004

Geometric properties and non-blowup of 3-D incompressible Euler flow

Jian Deng, Thomas Y. Hou, Xinwei Yu

math.AP2010

On Singularity Formation of a Nonlinear Nonlocal System

Thomas Y. Hou, Congming Li, Zuoqiang Shi +2

math.AP2006

Dynamic Stability of the 3D Axi-symmetric Navier-Stokes Equations with Swirl

Thomas Y. Hou, Congming Li

math.NA2013

Generalized Multiscale Finite Element Methods (GMsFEM)

Yalchin Efendiev, Juan Galvis, Thomas Y. Hou

math.AP2010

Dynamic Growth Estimates of Maximum Vorticity for 3D Incompressible Euler Equations and the SQG Model

Thomas Y. Hou, Zuoqiang Shi

math-ph2006

Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations

Thomas Y. Hou, Ruo Li

math.AP2006

Nonexistence of Local Self-Similar Blow-up for the 3D Incompressible Navier-Stokes Equations

Thomas Y. Hou, Ruo Li

cs.IT2014

Sparse Time-Frequency decomposition by dictionary learning

Thomas Y. Hou, Zuoqiang Shi

math.AP2015

Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations

Thomas Y. Hou, Pengfei Liu

math.AP2006

Level Set Dynamics and the Non-blowup of the 2D Quasi-geostrophic Equation

Jian Deng, Thomas Y. Hou, Ruo Li +1

math.AP2012

On Singularity Formation of a 3D Model for Incompressible Navier-Stokes Equations

Thomas Y. Hou, Zuoqiang Shi, Shu Wang

math.AP2009

Global Regularity of the 3D Axi-symmetric Navier-Stokes Equations with Anisotropic Data

Thomas Y. Hou, Zhen Lei, Congming Li

cs.IT2015

On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data

Chunguang Liu, Thomas Y. Hou, Zuoqiang Shi