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 arXiv;

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 arXiv;

Chen, Yifan; Hou, Thomas Y. et al. (2022) Exponentially Convergent Multiscale Finite Element Method arXiv;

Maust, Haydn; Li, Zongyi et al. (2022) Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators arXiv;

Chen, Jiajie; Hou, Thomas Y. (2022) Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data arXiv;

Chen, Jiajie; Hou, Thomas Y. (2022) On stability and instability of C^(1,α) singular solutions to the 3D Euler and 2D Boussinesq equations arXiv;

Hou, Thomas Y.; Li, Zhenzhen et al. (2021) Asymptotic Escape of Spurious Critical Points on the Low-rank Matrix Manifold arXiv;

Hou, Thomas Y. (2021) The potentially singular behavior of the 3D Navier-Stokes equations arXiv;

Hou, Thomas Y. (2021) Potential singularity of the 3D Euler equations in the interior domain arXiv;

Hou, Thomas Y.; Li, Zhenzhen et al. (2020) Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization arXiv;

Hou, Thomas Y.; Li, Zhenzhen et al. (2019) Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization arXiv;

Hou, Thomas Y.; Wang, Zhongjian et al. (2019) A class of robust numerical methods for solving dynamical systems with multiple time scales arXiv;

Choi, Kyudong; Hou, Thomas Y. et al. (2015) On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations

Hou, Thomas Y.; Shi, Zuoqiang (2015) Sparse Time-Frequency decomposition for multiple signals with same frequencies (Submitted)

Hou, Thomas Y.; Liu, Pengfei (2015) Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations (Submitted)

Hou, Thomas Y.; Luo, Guo (2013) On the Finite-Time Blowup of a 1D Model for the 3D Incompressible Euler Equations (Submitted)

Hou, Thomas Y.; Shi, Zuoqiang et al. (2011) On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity (Submitted)

Deng, J.; Hou, T. Y. et al. (2006) Level Set Dynamics and the Non-blowup of the 2D Quasi-geostrophic Equation (Submitted)