@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119522,
    title ="Potential Singularity of the Axisymmetric Euler Equations with C^α Initial Vorticity for A Large Range of α. Part I: the 3-Dimensional Case",
    author = "Hou, Thomas Y. and Zhang, Shumao",
    journal = "arXiv",
    
    
    
    month = "December",
    year = "2022",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-194424192",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119523,
    title ="Potential Singularity of the Axisymmetric Euler Equations with C^α Initial Vorticity for A Large Range of α. Part II: the N-Dimensional Case",
    author = "Hou, Thomas Y. and Zhang, Shumao",
    journal = "arXiv",
    
    
    
    month = "December",
    year = "2022",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-194427740",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119521,
    title ="Exponentially Convergent Multiscale Finite Element Method",
    author = "Chen, Yifan and Hou, Thomas Y. and Wang, Yixuan",
    journal = "arXiv",
    
    
    
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-194420642",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/118564,
    title ="Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators",
    author = "Maust, Haydn and Li, Zongyi and Wang, Yixuan and Leibovici, Daniel and Bruno, Oscar and Hou, Thomas and Anandkumar, Anima",
    journal = "arXiv",
    
    
    
    month = "November",
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221221-004750416",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119517,
    title ="Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data",
    author = "Chen, Jiajie and Hou, Thomas Y.",
    journal = "arXiv",
    
    
    
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-191437852",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119520,
    title ="On stability and instability of C^(1,α) singular solutions to the 3D Euler and 2D Boussinesq equations",
    author = "Chen, Jiajie and Hou, Thomas Y.",
    journal = "arXiv",
    
    
    
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    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-194417020",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/118574,
    title ="Asymptotic Escape of Spurious Critical Points on the Low-rank Matrix Manifold",
    author = "Hou, Thomas Y. and Li, Zhenzhen and Zhang, Ziyun",
    journal = "arXiv",
    
    
    
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119519,
    title ="The potentially singular behavior of the 3D Navier-Stokes equations",
    author = "Hou, Thomas Y.",
    journal = "arXiv",
    
    
    
    month = "July",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/119518,
    title ="Potential singularity of the 3D Euler equations in the interior domain",
    author = "Hou, Thomas Y.",
    journal = "arXiv",
    
    
    
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    year = "2021",
    
    
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/118576,
    title ="Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100844,
    title ="Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/100852,
    title ="A class of robust numerical methods for solving dynamical systems with multiple time scales",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65365,
    title ="On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65372,
    title ="Sparse Time-Frequency decomposition for multiple signals with same frequencies",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65368,
    title ="Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65369,
    title ="On the Finite-Time Blowup of a 1D Model for the 3D Incompressible Euler Equations",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65367,
    title ="On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/65567,
    title ="Level Set Dynamics and the Non-blowup of the 2D Quasi-geostrophic Equation",
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