Jiaxin Jin
Assistant Professor
Applied Mathematics
447 Maxim Doucet Hall
jiaxin.jin@louisiana.edu
Jiaxin Jin's webpage
Ph.D. 2021 University of Wisconsin-Madison
M.S. 2015 University of Wisconsin-Madison
B.S. 2014 Shanghai Jiao Tong University
I joined the Department of Mathematics as an assistant professor in August 2024. I received my B.S. in Mathematics from Shanghai Jiao Tong University in 2014, my M.S. in Mathematics from the University of Wisconsin-Madison in 2015, and my Ph.D. in Mathematics from the University of Wisconsin-Madison in 2021. Prior to joining UL Lafayette, I served as a Zassenhaus Assistant Professor in the Department of Mathematics at The Ohio State University.
My research focuses on applying dynamical systems to mathematical biology or biochemistry and applied partial differential equations in mathematical physics, with three distinct areas of emphasis: (i) investigation of the dynamical equivalence between reaction models and the relationship between reaction rates and graph structures with complex-balanced realizations, (ii) analysis of the network structure in input-output networks to characterize homeostasis points in the input-output function, (iii) exploration of the existence and regularity of solutions for the kinetic equations and the stability of the equilibrium of some kinetic models.
Selected research publications:
- Craciun, Gheorghe and Deshpande, Abhishek and Jin, Jiaxin, Weakly reversible deficiency one realizations of polynomial dynamical systems, Discrete Contin. Dyn. Syst. Ser. B, 29 (2024) no. 6, 2786-2816.
- Craciun, Gheorghe and Deshpande, Abhishek and Jin, Jiaxin, Weakly reversible single linkage class realizations of polynomial dynamical systems: an algorithmic perspective, J. Math. Chem., 62 (2024) no. 2, 476-501.
- Craciun, Gheorghe and Deshpande, Abhishek and Jin, Jiaxin, On the connectivity of the disguised toric locus of a reaction network, J. Math. Chem., 62 (2024) no. 2, 386-405.
- Craciun, Gheorghe and Jin, Jiaxin and Yu, Polly Y., An algorithm for finding weakly reversible deficiency zero realizations of polynomial dynamical systems, SIAM J. Appl. Math., 83 (2023) no. 4, 1717-1737
- Jin, Jiaxin and Kim, Chanwoo, Exponential mixing of {V}lasov equations under the effect of gravity and boundary, J. Differential Equations, 366 (2023), 645-742.
- Jin, Jiaxin and Kim, Chanwoo, Damping of kinetic transport equation with diffuse boundary condition, SIAM J. Math. Anal., 54 (2022) no. 5, 5524-5550.
- Craciun, Gheorghe and Jin, Jiaxin and Yu, Polly Y., Single-target networks, Discrete Contin. Dyn. Syst. Ser. B, 27 (2022) no. 2, 799-819.
- Craciun, Gheorghe and Jin, Jiaxin and Pantea, Casian and Tudorascu, Adrian, Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria, Discrete Contin. Dyn. Syst. Ser. B, 26 (2021) no. 3, 1305-1335.
- Craciun, Gheorghe and Jin, Jiaxin and Yu, Polly Y., An efficient characterization of complex-balanced, detailed-balanced, and weakly reversible systems, SIAM J. Appl. Math., 80 (2020) no. 1, 183-205.