一. 用化学反应刻画复杂流体中的动力学过程并进行数值计算和模拟
1. Xiaobo Jing, Pavel Loskot, and Jin Yu. How Does Supercoiling Regulation on A Battery of RNA Polymerases Impact on Bacterial Transcription Bursting?[J]. Physical Biology, 2018, 15(6): 066007. (生物物理方向)
2. Xiaobo Jing, Xiangya Huang, Markus Haapasalo, Ya Shen, Qi Wang. Modeling Oral Multispecies Biofilm Recovery After Antibacterial Treatment[J]. Scientific Reports, 2019, 9(1): 1-12.(数学建模与医学方向)
二.为复杂流体中的输运现象建立热力学一致模型、进行理论分析和保结构算法的开发
3. Xiaobo Jing, Jun Li, Xueping Zhao and Qi Wang, Second Order Linear Energy Stable Schemes for Allen-Cahn Equations with Nonlocal Constraints[J]. Journal of Scientific Computing, 2019, 80(1): 500-537.(应用与计算数学方向)
4. Xiaobo Jing and Qi Wang, Linear Second Order Energy Stable Schemes for Phase Field Crystal Growth Models with Nonlocal Constraints[J]. Computers & Mathematics with Applications, 2020, 79(3): 764-788.(应用与计算数学方向)
5. ShouwenSun, Xiaobo Jing, and Qi Wang. Error Estimates of Energy Stable Numerical Schemes for Allen–Cahn Equations with Nonlocal Constraints[J]. Journal of Scientific Computing, 2019, 79(1): 593-623.(计算数学方向)
三.为复杂流体中的反应-输运现象建立热力学一致模型、进行理论分析和开发保结构算法,特别是动态边界条件PDE的相关问题
6. Xiaobo Jing and Qi Wang, Thermodynamically Consistent Models for Coupled Bulk and Surface Dynamics [J], Entropy, 2022, 24, 1683 .(应用与计算数学、热力学与统计物理方向)
7.Xiaobo Jing and Qi Wang, Thermodynamically Consistent Dynamical Boundary Conditions of Phase Field Models[J], Communications in Mathematical Sciences, 2023, 21(3):859-883.(应用与计算数学、热力学与统计物理方向)