Hou, Yizhao

Monograph from CaltechAUTHORS

• Hou, Thomas Y. and 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; 10.48550/arXiv.2212.11924
• Hou, Thomas Y. and 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; 10.48550/arXiv.2212.11912
• Chen, Yifan and Hou, Thomas Y., el al. (2022) Exponentially Convergent Multiscale Finite Element Method; 10.48550/arXiv.2212.00823
• Maust, Haydn and Li, Zongyi, el al. (2022) Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators; 10.48550/arXiv.2211.15960
• Chen, Jiajie and Hou, Thomas Y. (2022) Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis; 10.48550/arXiv.2210.07191
• Chen, Jiajie and Hou, Thomas Y. (2022) 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 Li, Zhenzhen, el al. (2021) Asymptotic Escape of Spurious Critical Points on the Low-rank Matrix Manifold; 10.48550/arXiv.2107.09207
• Hou, Thomas Y. (2021) The potentially singular behavior of the 3D Navier-Stokes equations; 10.48550/arXiv.2107.06509
• Hou, Thomas Y. (2021) Potential singularity of the 3D Euler equations in the interior domain; 10.48550/arXiv.2107.05870
• Hou, Thomas Y. and Li, Zhenzhen, el al. (2020) Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization; 10.48550/arXiv.2012.15467
• Hou, Thomas Y. and Li, Zhenzhen, el al. (2019) Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization; 10.48550/arXiv.1911.12518
• Hou, Thomas Y. and Wang, Zhongjian, el al. (2019) A class of robust numerical methods for solving dynamical systems with multiple time scales; 10.48550/arXiv.1909.04289
• Choi, Kyudong and Hou, Thomas Y., el al. (2015) On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations; 10.48550/arXiv.1407.4776
• Hou, Thomas Y. and Shi, Zuoqiang (2015) Sparse Time-Frequency decomposition for multiple signals with same frequencies; 10.48550/arXiv.1507.02037
• Hou, Thomas Y. and Liu, Pengfei (2015) Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations; 10.48550/arXiv.1407.5740
• Hou, Thomas Y. and Luo, Guo (2013) On the Finite-Time Blowup of a 1D Model for the 3D Incompressible Euler Equations; 10.48550/arXiv.1311.2613
• Hou, Thomas Y. and Shi, Zuoqiang, el al. (2011) On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity; 10.48550/arXiv.1107.1823
• Deng, J. and Hou, T. Y., el al. (2006) Level Set Dynamics and the Non-blowup of the 2D Quasi-geostrophic Equation; 10.48550/arXiv.0601427