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. I am working with Prof. Inwon Kim.
Research Interests: PDEs and applied mathematics, especially fluid-structure interaction problems, evolution free boundary problems, Navier-Stokes equations, liquid crystals, and complex and active fluids.
Here is my CV
Publications & Preprints
- Jiajun Tong, Regularized Stokes Immersed Boundary Problems in Two Dimensions: Well-posedness, Singular Limit, and Error Estimates, arXiv:1904.09528, 2019. Submitted.
- Jiajun Tong and Michael J. Shelley, Directed Migration of Microscale Swimmers by an Array of Shaped Obstacles: Modeling and Shape Optimization, SIAM J. Appl. Math. (2018), 78(5), 2370-2392.
- Zaihui Gan, Fang-Hua Lin and Jiajun Tong, On the Viscous Camassa-Holm Equations with Fractional Diffusion, arXiv:1709.00774, 2017. Accepted by Discrete Contin. Dyn. Syst..
- Fang-Hua Lin and Jiajun Tong, Solvability of the Stokes Immersed Boundary Problem in Two Dimensions, Comm. Pure Appl. Math. (2019), 72(1), pp. 159-226.
- Megan S. Davies Wykes, Xiao Zhong, Jiajun Tong, Takuji Adachi, Yanpeng Liu, Leif Ristroph, Michael D. Ward, Michael J. Shelley, Jun Zhang. Guiding microscale swimmers using teardrop-shaped posts, Soft Matter (2017), 13, pp. 4681-4688.
- Kai Jiang, Jiajun Tong and Pingwen Zhang. Stability of Soft Quasicrystals in a Coupled-Mode Swift-Hohenberg Model
for Three-Component Systems. Commun. Comput. Phys. (2016), 19, pp. 559-581.
- Kai Jiang, Jiajun Tong, Pingwen Zhang, & An-Chang Shi. Stability of two-dimensional soft quasicrystals in systems with two length scales. Phys. Rev. E (2015), 92(4), 042159.
- (12/2019) 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 June 2019.