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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Ke Chen, Wei-Xi Li, and Tong Yang, Local Well-Posedness of the Three Dimensional Linearized MHD Boundary Layer System. Commun. Math. Anal. Appl. 3 (2024), no. 4, 483–500.
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Ke Chen, Ruilin Hu, and Quoc-Hung Nguyen, Local well-posedness of the 1d compressible Navier-Stokes system with rough data, Calculus of Variations and Partial Differential Equations, 63(42), 2024.
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Ke Chen, Ly Kim Ha, Ruilin Hu, Quoc-Hung Nguyen, Global well-posedness of the 1d compressible Navier-Stokes system with rough data, Journal de Mathématiques Pures et Appliquées, 179: 425-453, 2023.
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Ke Chen and Quoc-Hung Nguyen, The Peskin Problem with $\dot B^1_{\infty,\infty}$ initial data, SIAM Journal on Mathematical Analysis, 55(6): 6262-6304, 2023.
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Ke Chen, Quoc-Hung Nguyen, and Yiran Xu, The Muskat problem with $C^1$ data, Trans. AMS, 375: 3039--3060, 2022.
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Ke Chen and Jie Liu, Weak solutions of the three-dimensional hypoviscous elastodynamics with finite kinetic energy, Journal of Differential Equations, 339: 637-665, 2022.
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Ke Chen, Quoc-Hung Nguyen, and Na Zhao, Global Calder\'{o}n--Zygmund theory for parabolic $p$-Laplacian system: the case $1<p\leq \frac{2n}{n+2}$. Journal of Functional Analysis. 284(8): 109852, 2022.