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 the analysis of partial differential equations, with applications to fluid dynamics and kinetic theory.
Publications
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Ke Chen, Ruilin Hu, and Quoc-Hung Nguyen, Well-posedness of the fractional Fokker-Planck equation. Proc. Amer. Math. Soc. 154(4), 2026.
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Ke Chen, Anita Yang, and Mingying Zhong, Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system. J. Funct. Anal. 290(11): 111413, 2026.
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Stephen Cameron, Ke Chen, Ruilin Hu, Quoc-Hung Nguyen, Yiran Xu, The Muskat problem with a large slope. J. Funct. Anal., 290(4): 111257, 2026.
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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, Calc. Var. Partial Differ. Equ., 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, J. Math. Pures Appl., 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 J. Math. Anal., 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, J. Differ. Equ., 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 $1<p\leq \frac{2n}{n+2}$. J. Funct. Anal., 284(8): 109852, 2022.
Preprints
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Ke Chen, Quoc-Hung Nguyen, and Tong Yang, Scaling-Critical Theory for the Boltzmann and Landau Equations. arXiv: 2509.14845.
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Ke Chen, Ruilin Hu, and Quoc-Hung Nguyen, Schauder-type Estimates and Well-posedness for Non-local Quasilinear Evolution Equations in Fluid Dynamics. arXiv:2604.10682.
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Ke Chen, Ruilin Hu, and Quoc-Hung Nguyen, Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension. arXiv: 2606.12388.
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Ke Chen, Ruilin Hu, and Quoc-Hung Nguyen, Well-posedness for the mean curvature flow on the half-space and on bounded domains. arXiv: 2608.08901.