IntroductionYazhou Chen, Associate professor of the School of Mathematics and Physics, Deputy Director of the Department of Mathematics, specializes in partial differential equations, fluid dynamics equations and their applications, mainly studying two-phase flow diffusion interface models, magnetofluid equations, non-Newtonian fluids, etc., and has published more than 20 academic papers in SIAM J. Math. Anal., J. Differential Equations, Math. Methods Appl. Sci., Electron. Res. Arch.、J. Math. Anal. Appl.、Commun. Math. Sci.、Appl. Anal.、Acta Math. Appl. Sin. E and other journals. My research is supported by the National Natural Science Foundation of China. EducationWork ExperienceSocial PositionSocial ActivitiesResearchI am interested in theoretical research and application analysis of nonlinear partial differential equations related to fluid mechanics. Topics of my research include the well-posedness and lager time behavior of two-phase flow models with diffusion interface, MHD system, non-Newtonian fluids, and so on. My research is supported by the National Natural Science Foundation of China and has published more than 20 academic papers in SIAM J. Math. Anal., J. Differential Equations, Math. Methods Appl. Sci., Electron. Res. Arch.、J. Math. Anal. Appl.、Commun. Math. Sci.、Appl. Anal.、Acta Math. Appl. Sin. E and other journals. Some of the representatives in the past five years are: [1] Chen Y. , Huang B., Shi X., Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in 3D bounded domains, J. Differential Equations, 2023, 365: 274-325. [2] Chen Y. , Huang B., Shi X., Global Strong and Weak Solutions to the Initial-boundary-value Problem of 2D Compressible MHD System with Large Initial Data and Vacuum, SIAM J. Math. Anal., 2022, 54(3): 3817-3847. [3] Chen Y., Li H.-L., Tang H., Global existence and optimal time decay rates of 3D non-isentropic compressible Navier-Stokes-Allen-Cahn system, J. Differential Equations, 2022, 334: 157-193 [4] Chen Y., He Q., Huang B., Shi X., Global strong solution to a thermodynamic compressible diffuse interface model with temperature-dependent heat conductivity in 1D. Math. Methods Appl. Sci., 2021, 44, 12945-12962. [5] Chen Y., Hong H., Shi X., Stability of degenerate stationary solution to the outflow problem for full Navier-Stokes equations, Commun. Math. Sci., 2021, 19(5): 1233-1246. Teaching1. Advanced Mathematics 2. Complex Functions and Integral Transformations 3. Mathematical Modeling PostgraduatesFundingNational Natural Science Foundation of China(12371434,11901025,11671027,11471321) Vertical ProjectHorizontal ProjectPublications[1] Ya-zhou Chen, Hakho Hong, and Xiao-ding Shi. Stability of the phase separation state for compressible Navier-Stokes/Allen-Cahn system. Acta Math. Appl. Sin. Engl. Ser., 40(1):45–74, 2024. [2] Yazhou Chen, Hakho Hong, and Xiaoding Shi. The asymptotic stability of phase separation states for compressible immiscible two-phase flow in 3D. Acta Math. Sci. Ser. B (Engl. Ed.), 43(5):2133–2158, 2023. [3] Yazhou Chen, Bin Huang, Yi Peng, and Xiaoding Shi. Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in 3D bounded domains. J. Differen- tial Equations, 365:274–325, 2023. [4] Yazhou Chen, Hai-Liang Li, and Houzhi Tang. Global existence and optimal time decay rates of 3D non-isentropic compressible Navier-Stokes-Allen-Cahn system. J. Differential Equations, 334:157–193, 2022. [5] Yazhou Chen, Bin Huang, and Xiaoding Shi. Global strong and weak solutions to the initial-boundary- value problem of two-dimensional compressible MHD system with large initial data and vacuum. SIAM J. Math. Anal., 54(3):3817–3847, 2022. [6] Yazhou Chen, Qiaolin He, Bin Huang, and Xiaoding Shi. Navier-Stokes/Allen-Cahn system with generalized Navier boundary condition. Acta Math. Appl. Sin. Engl. Ser., 38(1):98–115, 2022. [7] Yazhou Chen, Dehua Wang, and Rongfang Zhang. On mathematical analysis of complex fluids in active hydrodynamics. Electron. Res. Arch., 29(6):3817–3832, 2021. [8] Yazhou Chen, Qiaolin He, Bin Huang, and Xiaoding Shi. Global strong solution to a thermodynamic compressible diffuse interface model with temperature-dependent heat conductivity in 1D. Math. Methods Appl. Sci., 44(17):12945–12962, 2021. [9] Yazhou Chen, Hakho Hong, and Xiaoding Shi. Stability of degenerate stationary solution to the outflow problem for full Navier-Stokes equations. Commun. Math. Sci., 19(5):1233–1246, 2021. [10] Yazhou Chen, Hailiang Li, and Xiaoding Shi. Partial regularity of suitable weak solutions to the system of the incompressible shear-thinning flow. Acta Math. Appl. Sin. Engl. Ser., 37(2):348–363, 2021. [11] Yazhou Chen, Hakho Hong, and Xiaoding Shi. Convergence rate of stationary solutions to outflow problem for full Navier-Stokes equations. Appl. Anal., 98(7):1267–1288, 2019. [12] Yazhou Chen, Qiaolin He, Xiaoding Shi, Teng Wang, and Xiao-ping Wang. On the motion of shear-thinning heat-conducting incompressible fluid-rigid system. Acta Math. Appl. Sin. Engl. Ser., 34(3):534–552, 2018. [13] Yazhou Chen, Qiaolin He, Ming Mei, and Xiaoding Shi. Asymptotic stability of solutions for 1-D compressible Navier-Stokes-Cahn-Hilliard system. J. Math. Anal. Appl., 467(1):185–206, 2018. [14] Yazhou Chen, Qiaolin He, Xiaoding Shi, Teng Wang, and Bing Zhang. Unsteady flow of shear-thinning non-Newtonian incompressible fluid through a twin-screw extruder. Acta Math. Appl. Sin. Engl. Ser., 32(2):423–436, 2016. AwardsPatentHonor RewardAdmissions Information |