Jiao Xu Position: Associate Professor Email: mathxujiao@scut.edu.cn Research Interests (e.g. chemotaxis model, nonlinear wave equation etc.) Education and Work Experience Education Experience: 2015/09-2020/12: South China University of Technology, School of Mathematics (Ph.D.) 2011/09-2015/07: Lanzhou University, School of Mathematics and Statistics (B.S.)
Work Experience: 2023/02-Present: South China University of Technology, School of Mathematics, Associate Professor 2021/01-2023/02:Southern University of Science and Technology, SUSTech International Center for Mathematics, Postdoctoral Fellow
Research Achievement X. Cheng and J. Xu*, On the global well-posedness and scattering of the 3D Klein-Gordon-Zakharov system. Calc. Var. Partial Differential Equations. 63 (1), Paper No. 17, 2024. M. Gao and J. Xu*, Convergence to steady states of parabolic sine-Gordon. Dyn. Partial Differ. Equ. 20 (3), 227-248, 2023. D. Li, C. Quan and J. Xu*, Energy-dissipation for time-fractional phase-field equations. Commun. Pure Appl. Anal. 21(10):3371-3387, 2022. X. Cheng, D. Li, J. Xu and D. Zha, Global wellposedness for 2D quasilinear wave without Lorentz. Dyn. Partial Differ. Equ. 19(2):123-140, 2022. D. Li, C. Quan and J. Xu, Stability and convergence of Strang splitting. Part I: Scalar Allen-Cahn equation. J. Comput. Phys., 458, No. 111087, 20 pp, 2022. D. Li, C. Quan and J. Xu, Stability and convergence of Strang splitting. Part II: Tensorial Allen-Cahn equations. J. Comput. Phys., 454, No. 110985, 20 pp, 2022. Z. Feng, J. Xu, L. Xue and K. Zhao, Initial and boundary value problem for a system of balance laws from chemotaxis: global dynamics and diffusivity limit. Ann. Appl. Math. 37(1):61-110, 2021. H.Y. Jin and J. Xu*, Analysis of the role of convection in a system describing the tumor-induced angiogenesis. Commun. Math. Sci., 19 (4):1033-1049, 2021. Z.A. Wang and J. Xu, On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion. J. Math. Biol., 82(1-2), No. 7, 37 pp, 2021. Z. Liu and J. Xu*, Large time behavior of solutions for density-suppressed motility system in higher dimensions. J. Math. Anal. Appl., 475(2):1596-1613, 2019. H.Y. Jin, Z. Liu, S. Shi and J. Xu*, Boundedness and stabilization in a two-species chemotaxis-competition system with signal-dependent diffusion and sensitivity. J. Differential Equations, 267(1):494-524, 2019. J. Xu, Z. Liu and S. Shi, Large time behavior of solutions for the attraction-repulsion Keller-Segel system with large initial data. Appl. Math. Lett. 87 :13–19, 2019.
Research Grants
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