- Chen, Yifan; Hou, Thomas Y.; et el. (2023) Exponentially
Convergent Multiscale Finite Element Method; 10.48550/arXiv.2212.00823
- Chen, Jiajie and Hou, Thomas Y. (2023) On
stability and instability of C^(1,α) singular solutions to the 3D Euler
and 2D Boussinesq equations; 10.48550/arXiv.2206.01296
- Hou, Thomas Y. and Zhang, Shumao (2023) Potential
Singularity of the Axisymmetric Euler Equations with C^α Initial
Vorticity for A Large Range of α. Part I: the 3-Dimensional Case; 10.48550/arXiv.2212.11912
- Hou, Thomas Y. and Zhang, Shumao (2023) Potential
Singularity of the Axisymmetric Euler Equations with C^α Initial
Vorticity for A Large Range of α. Part II: the N-Dimensional Case;
10.48550/arXiv.2212.11924
- Hou, Thomas Y. (2023) Potential
singularity of the 3D Euler equations in the interior domain; 10.48550/arXiv.2107.05870
- Chen, Jiajie and Hou, Thomas Y. (2023) Stable
nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations
with smooth data; 10.48550/arXiv.2210.07191
- Hou, Thomas Y. (2023) The
potentially singular behavior of the 3D Navier-Stokes equations; 10.48550/arXiv.2107.06509
- Hou, Thomas Y.; Li, Zhenzhen; et el. (2022) Asymptotic
Escape of Spurious Critical Points on the Low-rank Matrix Manifold;
10.48550/arXiv.2107.09207
- Hou, Thomas Y.; Li, Zhenzhen; et el. (2022) Fast
Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient
Descent with Random Initialization; 10.48550/arXiv.2012.15467
- Maust, Haydn; Li, Zongyi; et el. (2022) Fourier
Continuation for Exact Derivative Computation in Physics-Informed Neural
Operators; 10.48550/arXiv.2211.15960
- Hou, Thomas Y.; Wang, Zhongjian; et el. (2020) A
class of robust numerical methods for solving dynamical systems with
multiple time scales; 10.48550/arXiv.1909.04289
- Hou, Thomas Y.; Li, Zhenzhen; et el. (2020) Analysis
of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization;
10.48550/arXiv.1911.12518
- Deng, J.; Hou, T. Y.; et el. (2016) Level
Set Dynamics and the Non-blowup of the 2D Quasi-geostrophic
Equation; 10.48550/arXiv.0601427
- Choi, Kyudong; Hou, Thomas Y.; et el. (2016) On
the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler
Equations; 10.48550/arXiv.1407.4776
- Hou, Thomas Y. and Luo, Guo (2016) On
the Finite-Time Blowup of a 1D Model for the 3D Incompressible Euler
Equations; 10.48550/arXiv.1311.2613
- Hou, Thomas Y.; Shi, Zuoqiang; et el. (2016) On
the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes
Equations with Partial Viscosity; 10.48550/arXiv.1107.1823
- Hou, Thomas Y. and Liu, Pengfei (2016) Self-similar
Singularity of a 1D Model for the 3D Axisymmetric Euler Equations;
10.48550/arXiv.1407.5740
- Hou, Thomas Y. and Shi, Zuoqiang (2016) Sparse
Time-Frequency decomposition for multiple signals with same
frequencies; 10.48550/arXiv.1507.02037