Research at FAST

102 Department of Applied Mathematics Department of Applied Mathematics Qualification BSc (CCNU) PhD (UAlberta) ORCID ID 0000-0003-2945-5810 Prof. WANG Zhian Professor Research Areas • Modeling and analysis on density-suppressed motility • Boundary layers of chemotaxis systems with singular (logarithmic) sensitivity • Dynamics of predator-prey systems with non-random motion (preytaxis) Representative Publications • J.A. Carrillo, J. Li and Z.A. Wang , Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability, Proc. London Math. Soc., in press, 2020 • J.A. Carrillo, X. Chen, Q. Wang, Z.A. Wang and L. Zhang, Phase transitions and bump solutions of the Keller-Segel model with volume exclusion, SIAM J. Appl. Math., 80:232-261, 2020 • J. Wang, Z.A. Wang and W. Yang, Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass, Comm. Partial Differential Equations, 44:545-572, 2019 • Q. Hou and Z.A. Wang , Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane, J. Math. Pures Appl., 130:251-287, 2019 • Q.Q. Hou, C.J. Liu, Y.G. Wang and Z.A. Wang , Stability of boundary layers for a viscous hyperbolic system arising from chemotaxis: one dimensional case, SIAM J. Math. Anal., 50:3058-3091, 2018 • V. Martinez, Z.A. Wang and K. Zhao, Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology, Indiana Univ. Math. J., 67:1383-1424, 2018 • H.Y. Jin, Y.-J. Kim and Z.A. Wang , Boundedness, stabilization and pattern formation driven by density- suppressed motility, SIAM J. Appl. Math., 78:1632-1657, 2018 Awards and Achievements • 2019 Hong Kong Mathematical Society Young Scholar Award • 2016 / 2017 Best Paper Award, Departmental Research Awards • 2012 JMAA Ames Award • 2011 MBI Young Scholar Award Professional Service • Associate Editor of Discrete and Continuous Dynamical System Qualitative analysis on the density-dependent motility models describing cell aggregation, wave population and predator-prey dynamics Investigation of pattern formation of reaction-advection-diffusion models with applications to biology and ecology Exploration of mechanisms on boundary-layer formation of chemotaxis models with physical boundary conditions