Jiajun Tong Name in Chinese

portrait

Department of Mathematics
University of California, Los Angeles

Contact Information

UCLA Mathematics Department
Box 951555
Los Angeles, CA 90095-1555, U.S.A.

Office: MS 6224
Email: MyFirstName at math.ucla.edu

For students: in case you want to send me emails regarding enrollment of my classes, please first read the red texts at the bottom of this page. Thank you.

About Me

I am a Hedrick Assistant Adjunct Professor at Department of Mathematics, UCLA, under the mentorship of Prof. Inwon Kim.

Here is my CV.

Research Interests: PDEs and applied mathematics, especially evolution free boundary problems, fluid-structure interaction problems, calculus of variations, liquid crystals, complex and active fluids, and optimal transport.

Publications & Preprints

  1. Darcy's Law with a Source Term
    Matt Jacobs, Inwon Kim and Jiajun Tong. arXiv:2006.09558. Submitted.
  2. The $L^1$-contraction Principle in Optimal Transport
    Matt Jacobs, Inwon Kim and Jiajun Tong. arXiv:2006.09557. Submitted.
  3. Interface Dynamics in a Two-phase Tumor Growth Model
    Inwon Kim and Jiajun Tong, arXiv:2002.03487. Submitted.
  4. Regularity of Minimizers of a Tensor-valued Variational Obstacle Problem in Three Dimensions
    Zhiyuan Geng and Jiajun Tong, Calc. Var. 59, 57 (2020).
  5. Regularized Stokes Immersed Boundary Problems in Two Dimensions: Well-posedness, Singular Limit, and Error Estimates
    Jiajun Tong, arXiv:1904.09528. Accepted by Comm. Pure Appl. Math..
  6. Directed Migration of Microscale Swimmers by an Array of Shaped Obstacles: Modeling and Shape Optimization
    Jiajun Tong and Michael J. Shelley, SIAM J. Appl. Math. (2018), 78(5), 2370-2392.
  7. On the Viscous Camassa-Holm Equations with Fractional Diffusion
    Zaihui Gan, Fang-Hua Lin and Jiajun Tong, Discrete Contin. Dyn. Syst. (2020), 40 (6) : 3427-3450.
  8. Solvability of the Stokes Immersed Boundary Problem in Two Dimensions
    Fang-Hua Lin and Jiajun Tong, Comm. Pure Appl. Math. (2019), 72(1), pp. 159-226.
  9. Guiding microscale swimmers using teardrop-shaped posts
    Megan S. Davies Wykes, Xiao Zhong, Jiajun Tong, Takuji Adachi, Yanpeng Liu, Leif Ristroph, Michael D. Ward, Michael J. Shelley and Jun Zhang, Soft Matter (2017), 13, pp. 4681-4688.
  10. Stability of Soft Quasicrystals in a Coupled-Mode Swift-Hohenberg Model for Three-Component Systems
    Kai Jiang, Jiajun Tong and Pingwen Zhang, Commun. Comput. Phys. (2016), 19, pp. 559-581.
  11. Stability of two-dimensional soft quasicrystals in systems with two length scales
    Kai Jiang, Jiajun Tong, Pingwen Zhang and An-Chang Shi, Phys. Rev. E (2015), 92(4), 042159.

Teaching

Fall 2020: I will be teaching MATH 135 Ordinary Differential Equations (online).

MATH 135 (CCLE logon required): MWF 1pm.

  • Office hours: TBA.

  • Course TA: TBA.
  • Discussion session: TBA.
  • TA office hours: TBA.
  • I am not in charge of the enrollment process. For enrollment inquiries, please contact the math department undergraduate office (MS 6356 / ugrad at math.ucla.edu).
  • If the class is full but you still would like to get enrolled, please first get registered in the unofficial waitlist maintained by the undergraduate office.
  • Only the undergraduate office provides PTE numbers. I don't.
  • Please send me emails if you want CCLE access.

Updated in June 2020.