Jiaxi Huang

Huang Jiaxi Title: Assistant Professor E-mail: jiaxih@bit.edu.cn
He studied under Wang Youde and Zhao Lifeng. His research interest is dispersion equations, especially those with geometric background. He is mainly engaged in the study of the well-fit and long time behavior of geometric dispersion equations such as Schrodinger flow, wave mapping, Ericksen-Leslie hyperbolic liquid crystal equation and oblique mean curvature flow. The research results have been published in CMP, SIAM, DCDS and other journals.
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Geometric dispersion equation. He is mainly engaged in the study of the well-fit and long time behavior of geometric dispersion equations such as Schrodinger flow, wave mapping, Ericksen-Leslie hyperbolic liquid crystal equation and oblique mean curvature flow. These equations have a strong geometric background and belong to dispersion equations. Therefore, geometric and harmonic analysis tools are mainly used to study the behavior of its solutions.

2013.09--2020.06, School of Mathematical Sciences, University of Science and Technology of China, Master's degree, Tutor: Wang Youde, Zhao Lifeng
2009.09--2013.06, School of Mathematics and Statistics, Wuhan University, Bachelor Degree

► 2022.07-- Now, Assistant Professor, School of Mathematics and Statistics, Beijing Institute of Technology
► 2020.07--2022.06, Beijing International Center for Mathematical Research, Peking University, Postdoctoral Fellow, Supervisor: Liu Baoping

[1] J. Huang, Daniel Tataru, Local well-posedness of skew mean curvature flow for small data in d ≥ 2 dimensions. Preprint, arXiv:2202.10632.
[2] J. Huang, Lifeng Zhao, Small data global regularity for Navier-Stokes-Schrödinger map system in three dimensions. Preprint, arXiv:2105.00390.
[3] J. Huang, N. Jiang, Y. Luo, L. Zhao, Small data global regularity for simplified 3-D Ericksen-Leslie's compressible hyperbolic liquid crystal model. To appear in J. Hyperbolic Differ. Equ. arXiv:1905.04884.
[4] J. Huang, Daniel Tataru, Local well-posedness of skew mean curvature flow for small data in d ≥ 4 dimensions. Commun. Math. Phys. 389 (2022), 1569–1645.
[5] J. Huang, N. Jiang, Y. Luo, L. Zhao, Small data global regularity for the 3-D Ericksen-Leslie hyperbolic liquid crystal model without kinematic transport. SIAM J. Math. Anal. 53 (2021), no. 1, 530-573.
[6] J. Huang, Local existence and uniqueness of Navier-Stokes-Schr¨odinger system. Commun. Math. Stat. 9 (2021), no. 1, 101-118.
[7] J. Huang, Y. Wang, L. Zhao, Equivariant Schr¨odinger map flow on two dimensional hyperbolic space. Discrete Contin. Dyn. Syst. 40 (2020), no. 7, 4379-4425.