About Me
I'm a postdoctoral fellow at Department of Applied Mathematics, The Hong Kong Polytechnic University.
My mentor in PolyU is Professor Tong YANG.
Previously, I received my Ph. D at Fudan University, under the supervision of Professor Zhen LEI and Professor Quoc-Hung NGUYEN. I'm interested in partial differential equations in fluid dynamics, and regularity for solutions of parabolic equations.
Publications
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Global well-posedness of the 1d compressible Navier-Stokes system with rough data. Ke Chen, Ly Kim Ha, Ruilin Hu, Quoc-Hung Nguyen. arXiv:2209.03938. To appear in Journal de Mathématiques Pures et Appliquées.
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Local well-posedness of the 1d compressible Navier-Stokes system with rough data. Ke Chen, Ruilin Hu and Quoc-Hung Nguyen. arXiv:2206.14160. To appear in Calculus of Variations and Partial Differential Equations.
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The Peskin problem with \dot{B}^1_{\infty,\infty} initial data. Ke Chen and Quoc-Hung Nguyen. arXiv:2107.13854. To appear in SIAM Journal on Mathematical Analysis.
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Global Calder\'{o}n--Zygmund theory for parabolic $p$-Laplacian system: the case $1<p\leq \frac{2n}{n+2}$. Ke Chen, Quoc-Hung Nguyen and Na Zhao. arXiv:2109.02595. To appear in Journal of Functional Analysis.
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Weak solutions of the three-dimensional hypoviscous elastodynamics with finite kinetic energy. Ke Chen and Jie Liu. arXiv:2104.11872. To appear in Journal of Differential Equations.
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The Muskat problem with C^1 data. Ke Chen, Quoc-Hung Nguyen and Yiran Xu. arXiv:2103.09732. To appear in the Transactions of the American Mathematical Society.