UCLA Mathematics Department
Los Angeles, CA 90095-1555, U.S.A.
Office: MS 6224
Email: MyFirstName at math.ucla.edu
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, liquid crystals, and complex and active fluids.
Publications & Preprints
- Regularity of Minimizers of a Tensor-valued Variational Obstacle Problem in Three Dimensions
Zhiyuan Geng and Jiajun Tong, arXiv:1908.10889. Submitted.
- 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..
- 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.
- On the Viscous Camassa-Holm Equations with Fractional Diffusion
Zaihui Gan, Fang-Hua Lin and Jiajun Tong, arXiv:1709.00774. To appear in Discrete Contin. Dyn. Syst..
- 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.
- 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.
- 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.
- 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.
Winter 2020: I will be teaching MATH 151A Applied Numerical Methods Sections 1 & 2.
For enrollment questions, you are advised to first consult with the math department undergraduate office (MS 6356 / ugrad at math.ucla.edu)
Fall 2019: I am teaching MATH 151A Applied Numerical Methods.
(CCLE logon required): MWF 9am / MS 6229.
- Office hours: 1) M 3pm-4:30pm, W 10am-11:30am; or 2) by email appointment.
- Course TA: Zehan Chao / MS 6153.
- Discussion section: Th 9am / MS 6229.
- TA office hours: Th 10am-12pm.
- Matlab and other computing resources are accessible at PIC lab and at UCLA Library in CLICC or via remote access.
- Find quick tutorials on Matlab here (by Prof. Chris Anderson at UCLA) or here (by Prof. Andrew E. Yagle).
Find my past teaching here
- (11/19/2019) Talk at Participating Analysis Seminar at UCLA. link
- (12/11/2019) Invited talk at SIAM Conference on Analysis of Partial Differential Equations (PD19), Minisyposium: Mathematical aspects of several topics arising from materiel science, La Quinta, CA. link
Updated in November 2019.