Selected publications
Daozhi Han, Anna L. Mazzucato, Dongjuan Niu, Xiaoming Wang. Boundary layer for a class of nonlinear pipe flow, Journal of Differential Equations 252(2012), 6387-6413. [DOI] [PDF]
Daozhi Han, Xiaoming Wang. Initial-boundary layer associated with the nonlinear Darcy-Brinkman system, Journal of Differential Equations 256(2014), 609-639. [DOI] [PDF]
Daozhi Han, Xiaoming Wang, Hao Wu. Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry, Journal of Differential Equations 257(2014), 3887-3933. [DOI] [PDF]
Daozhi Han, Xiaoming Wang. A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation, J. Comput. Phys. 290(2015),139-156. [DOI] [PDF]
Daozhi Han. A decoupled unconditionally stable numerical scheme for the Cahn-Hilliard-Hele-Shaw system, J. Sci. Comput. 66(2016), 1102-1121. [DOI] [PDF]
Xiaofeng Yang, Daozhi Han. Linearly first and second order, unconditionally energy-stable schemes for the phase field crystal model, Journal of Computational Physics 330(2017), 1116-1134. [DOI] [PDF]
Wenbin Chen, Daozhi Han, Xiaoming Wang. Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry, Numerische Mathematik 137(2017), 229-255. [DOI] [PDF]
Daozhi Han, Marco Hernandez, Quan Wang. Dynamic bifurcation and transition in the Rayleigh-Benard convection with internal heating and varying gravity, Communications in Mathematical Sciences 17(2019), pp. 175-192. [DOI] [PDF]
Makram Hamouda, Daozhi Han, Chang-Yeol Jung, Krutika Tawri, Roger Temam. Boundary layers for the 3D primitive equations in a cube: subcritical modes, Journal of Differential Equations 267(2019), 61-96. [DOI] [PDF]
Daozhi Han, Quan Wang, Xiaoming Wang. Dynamic transitions and bifurcations for thermal convection in the superposed free flow and porous media, Physica D: Nonlinear Phenomena 414 (2020), 132687. [DOI] [PDF]
Daozhi Han, Marco Hernandez, Quan Wang. Dynamic transitions and bifurcations for a class of axisymmetric geophysical fluid flow, SIAM Applied Dynamical System 20(2021), 38--64. [DOI] [PDF]
Jia Zhao, Daozhi Han. Second-order decoupled energy-stable schemes for Cahn-Hilliard-Navier-Stokes equations, Journal of Computational Physics 443(2021), Paper No. 110536. [DOI] [PDF]
Guosheng Fu, Daozhi Han. A linear second-order in time unconditionally energy stable finite element scheme for a Cahn-Hilliard phase-field model for two-phase incompressible flow of variable densities, Comput. Methods Appl. Mech. Engrg. 387(2021), 114186. [DOI] [PDF]
Wenbin Chen, Daozhi Han, Cheng Wang, Shufen Wang, Xiaoming Wang, Yichao Zhang. Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system, IMA Journal of Numerical Analysis 42(2022), 2621–2655. [DOI] [PDF]
Yali Gao, Daozhi Han, Xiaoming He, Ulrich Rude. Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities, Journal of Computational Physics 454 (2022), 110968. [DOI] [PDF]
Gang Chen, Daozhi Han, John Singler, Yangwen Zhang. On the superconvergence of a hybridizable discontinuous Galerkin method for the Cahn-Hilliard equation, SIAM Journal on Numerical Analysis 61(2023) 83-109. [DOI] [PDF]