<h1>Hou, Yizhao</h1>
<h2>Monograph from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2>
<ul>
<li>Hou, Thomas Y. and Zhang, Shumao (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230227-194427740">Potential Singularity of the Axisymmetric Euler Equations with C^α Initial Vorticity for A Large Range of α. Part II: the N-Dimensional Case</a>; <a href="https://doi.org/10.48550/arXiv.2212.11924">10.48550/arXiv.2212.11924</a></li>
<li>Hou, Thomas Y. and Zhang, Shumao (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230227-194424192">Potential Singularity of the Axisymmetric Euler Equations with C^α Initial Vorticity for A Large Range of α. Part I: the 3-Dimensional Case</a>; <a href="https://doi.org/10.48550/arXiv.2212.11912">10.48550/arXiv.2212.11912</a></li>
<li>Chen, Yifan and Hou, Thomas Y., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230227-194420642">Exponentially Convergent Multiscale Finite Element Method</a>; <a href="https://doi.org/10.48550/arXiv.2212.00823">10.48550/arXiv.2212.00823</a></li>
<li>Maust, Haydn and Li, Zongyi, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20221221-004750416">Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators</a>; <a href="https://doi.org/10.48550/arXiv.2211.15960">10.48550/arXiv.2211.15960</a></li>
<li>Chen, Jiajie and Hou, Thomas Y. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230227-191437852">Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data</a>; <a href="https://doi.org/10.48550/arXiv.2210.07191">10.48550/arXiv.2210.07191</a></li>
<li>Chen, Jiajie and Hou, Thomas Y. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230227-194417020">On stability and instability of C^(1,α) singular solutions to the 3D Euler and 2D Boussinesq equations</a>; <a href="https://doi.org/10.48550/arXiv.2206.01296">10.48550/arXiv.2206.01296</a></li>
<li>Hou, Thomas Y. and Li, Zhenzhen, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20221221-220346410">Asymptotic Escape of Spurious Critical Points on the Low-rank Matrix Manifold</a>; <a href="https://doi.org/10.48550/arXiv.2107.09207">10.48550/arXiv.2107.09207</a></li>
<li>Hou, Thomas Y. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230227-193545252">The potentially singular behavior of the 3D Navier-Stokes equations</a>; <a href="https://doi.org/10.48550/arXiv.2107.06509">10.48550/arXiv.2107.06509</a></li>
<li>Hou, Thomas Y. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230227-192413744">Potential singularity of the 3D Euler equations in the interior domain</a>; <a href="https://doi.org/10.48550/arXiv.2107.05870">10.48550/arXiv.2107.05870</a></li>
<li>Hou, Thomas Y. and Li, Zhenzhen, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20221221-220354531">Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization</a>; <a href="https://doi.org/10.48550/arXiv.2012.15467">10.48550/arXiv.2012.15467</a></li>
<li>Hou, Thomas Y. and Li, Zhenzhen, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200122-133158689">Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization</a>; <a href="https://doi.org/10.48550/arXiv.1911.12518">10.48550/arXiv.1911.12518</a></li>
<li>Hou, Thomas Y. and Wang, Zhongjian, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200122-143531561">A class of robust numerical methods for solving dynamical systems with multiple time scales</a>; <a href="https://doi.org/10.48550/arXiv.1909.04289">10.48550/arXiv.1909.04289</a></li>
<li>Choi, Kyudong and Hou, Thomas Y., el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160315-123826115">On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations</a>; <a href="https://doi.org/10.48550/arXiv.1407.4776">10.48550/arXiv.1407.4776</a></li>
<li>Hou, Thomas Y. and Shi, Zuoqiang (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160315-152129723">Sparse Time-Frequency decomposition for multiple signals with same frequencies</a>; <a href="https://doi.org/10.48550/arXiv.1507.02037">10.48550/arXiv.1507.02037</a></li>
<li>Hou, Thomas Y. and Liu, Pengfei (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160315-133921211">Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations</a>; <a href="https://doi.org/10.48550/arXiv.1407.5740">10.48550/arXiv.1407.5740</a></li>
<li>Hou, Thomas Y. and Luo, Guo (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160315-134409579">On the Finite-Time Blowup of a 1D Model for the 3D Incompressible Euler Equations</a>; <a href="https://doi.org/10.48550/arXiv.1311.2613">10.48550/arXiv.1311.2613</a></li>
<li>Hou, Thomas Y. and Shi, Zuoqiang, el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160315-133702384">On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity</a>; <a href="https://doi.org/10.48550/arXiv.1107.1823">10.48550/arXiv.1107.1823</a></li>
<li>Deng, J. and Hou, T. Y., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160322-071936317">Level Set Dynamics and the Non-blowup of the 2D Quasi-geostrophic Equation</a>; <a href="https://doi.org/10.48550/arXiv.0601427">10.48550/arXiv.0601427</a></li>
</ul>