DEPARTMENT OF APPLIED MATHEMATICS 110 Email zhuama.zhang@polyu.edu.hk Qualification BSc (Wuhan University) PhD (The Chinese University of Hong Kong)) ORCID ID 0000-0001-9062-6522 Dr ZHANG Zhu Assistant Professor Research Overview My research interests are focused on partial differential equations. The topics include but not limited to: (1) fluid dynamics (2) boundary layer theories (3) kinetic theories for rarefied gas I am interested in solution behaviours and properties such as: (1) stability and long-time behaviours of certain solutions like equilibrium states, time periodic solutions, shock profiles, etc. (2) hydrodynamic stabilities related to boundary layer theories: stability analysis of laminar flows, enhanced-dissipation theories, fluid mixing effects (3) pattern formation and phase transition in kinetic theories (4) instability phenomena arising in fluid mechanics, for instance, Tollmien-Schlichting instabilities, Second flow theories, RayleighTaylor etc. Representative Publications • Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhang, Zhu: Heat transfer problem for the Boltzmann equation in a channel with diffusive boundary condition. Chinese Ann. Math. Ser. B 43 (2022), no. 6, 1071–1100 • Liu, Cheng-Jie; Yang, Tong; Zhang, Zhu Analysis of the Tollmien-Schlichting wave in the Prandtl-Hartmann regime. J. Math. Pures Appl. (9) 165 (2022), 58–105 • Duan, Renjun; Liu, Shuangqian; Zhang, Zhu Ion-acoustic shock in a collisional plasma. J. Differential Equations 269 (2020), no. 4, 3721–3768 • Duan, Renjun; Huang, Feimin; Wang, Yong; Zhang, Zhu Effects of soft interaction and non-isothermal boundary upon long-time dynamics of rarefied gas. Arch. Ration. Mech. Anal. 234 (2019), no. 2, 925–1006 • Duan, Renjun; Wang, Yong; Zhang, Zhu: The Boltzmann equation with time-periodic boundary temperature. Acta Math. Appl. Sin. Engl. Ser. 35 (2019), no. 1, 174–208 • Zhang, Zhu Instability in a Vlasov-Fokker-Planck binary mixture. J. Differential Equations 266 (2019), no. 2-3, 1514–1535 Award • Best Thesis Award, Hong Kong Mathematical Society, 2020
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