UCLA Mathematics Department

Box 951555

Los Angeles, CA 90095-1555, U.S.A.

Office: MS 6224

Email:*MyFirstName at math.ucla.edu*

Box 951555

Los Angeles, CA 90095-1555, U.S.A.

Office: MS 6224

Email:

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

- Ph.D. in Mathematics, New York University, 2013 - 2018.

Advisor: Prof. Fang-Hua Lin

Thesis: On the Stokes Immersed Boundary Problem in Two Dimensions

- B.S. in Applied and Computational Mathematics, Peking University, 2009 - 2013.

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

- Interface Dynamics in a Two-phase Tumor Growth Model

Inwon Kim and Jiajun Tong,*arXiv:2002.03487. Submitted.* - Regularity of Minimizers of a Tensor-valued Variational Obstacle Problem in Three Dimensions

Zhiyuan Geng and Jiajun Tong,*Calc. Var. 59, 57 (2020).* - 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,*Discrete Contin. Dyn. Syst. (2020), 40 (6) : 3427-3450.* - 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.*

**Spring 2020:** I will teach MATH 136 Partial Differential Equations (online).

- Office hours (online): TBA.

MATH 136 (CCLE logon required): MWF 11am / online.

- Course TA: Stanley Palasek.
- Discussion section: Th 11am / online.
- TA office hours: TBA.

- For enrollment questions, please first consult with 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, you are advised to first get registered in the unofficial waiting list of the course maintained by the math department undergraduate office (MS 6356 / ugrad at math.ucla.edu).
- The math department does not use PTE numbers for this course.

Updated in Mar. 2020.