Thomas Y. Hou
Charles Lee Powell Professor of Applied and Computational Mathematics; Graduate Option Representative for Applied and Computational Mathematics
Research interests: multiscale analysis and computation, interfacial problems, stochastic PDEs and uncertainty quantification, global regularity of 3D incompressible Euler and Navier-Stokes equations, adaptive data analysis
Overview
Professor Hou focuses on multiscale problems arising from geophysical applications and fluid dynamics, the Millennium Problem on the 3D incompressible Navier-Strokes equations, model reduction for stochastic problems with high dimensional input variables, and adaptive data analysis.
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- Hou, Yizhao T.;Wang, Yixuan (2024) Blowup analysis for a quasi-exact 1D model of 3D Euler and Navier–StokesNonlinearity
- Chen, Yifan;Hou, Thomas Y. et al. (2023) Exponentially Convergent Multiscale Finite Element MethodCommunications on Applied Mathematics and Computation
- Hou, Thomas Y.;Huang, De (2023) Potential Singularity Formation of Incompressible Axisymmetric Euler Equations with Degenerate Viscosity CoefficientsMultiscale Modeling and Simulation
- Hou, Thomas Y.;Zhang, Shumao (2022) Potential Singularity of the Axisymmetric Euler Equations with C^α Initial Vorticity for A Large Range of α. Part II: the N-Dimensional Case
- Hou, Thomas Y.;Zhang, Shumao (2022) Potential Singularity of the Axisymmetric Euler Equations with C^α Initial Vorticity for A Large Range of α. Part I: the 3-Dimensional Case
- Chen, Yifan;Hou, Thomas Y. et al. (2022) Exponentially Convergent Multiscale Finite Element Method
- Maust, Haydn;Li, Zongyi et al. (2022) Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators
- Chen, Jiajie;Hou, Thomas Y. (2022) Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data
- Hou, Thomas Y. (2022) Potentially Singular Behavior of the 3D Navier-Stokes EquationsFoundations of Computational Mathematics
- Hou, Thomas Y. (2022) Potential Singularity of the 3D Euler Equations in the Interior DomainFoundations of Computational Mathematics
Related Courses
2023-24
ACM/EE 106 ab – Introductory Methods of Computational Mathematics
2022-23
ACM/EE 106 ab – Introductory Methods of Computational Mathematics
CMS 290 abc – Computing and Mathematical Sciences Colloquium
2021-22
ACM/EE 106 ab – Introductory Methods of Computational Mathematics
CMS 290 abc – Computing and Mathematical Sciences Colloquium
2020-21
ACM/EE 106 ab – Introductory Methods of Computational Mathematics
CMS 290 abc – Computing and Mathematical Sciences Colloquium