北京化工大学 Chen Yazhou个人主页-Associate professor-数理学院

Introduction

Yazhou 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.

Education

Work Experience

Social Position

Social Activities

Research

I 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 30 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.

Teaching

1. Advanced Mathematics

2. Complex Functions and Integral Transformations

3. Mathematical Modeling

Postgraduates

Funding

National Natural Science Foundation of China(12371434,11901025,11671027,11471321)

Vertical Project

Horizontal Project

Publications

(1) Chen Y., Huang B., Shi X., Global Well-Posedness of Classical Solutions to the Compressible Navier-Stokes-Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains, J. Math. Fluid Mech., 26:41 (2024)

(2) Chen Y., Tang, H., Zhang Y., Wave propagation for the isentropic compressible Navier-Stokes /Allen-Cahn system, Math. Methods Appl. Sci., 10458: 1-17 (2024)

(3) Chen Y., Huang B., Shi X., Global Strong Solutions to the Compressible Magnetohydro-dynamic Equations with Slip Boundary Conditions in a 3d Exterior Domain, Commun. Math. Sci., 22(3): 685-720 (2024)

(4) Chen Y., Huang B., Shi X., Stability of the Rarefaction wave in the Singular Limit of a Sharp Interface Problem for the Compressible Navier-Stokes/Allen-Cahn System，Acta Math. Sci., 44B(4): 1-17 (2024)

(5) Chen Y., Huang B., Peng Y., Shi X., Global strong solutions to the compressible magneto-hydrodynamic equations with slip boundary conditions in 3D bounded domains, J. Differential Equations, 365: 274-325 (2023)

(6) Chen Y., Hong H., Shi X., The Asymptotic Stability of Phase Separation States for Compressible Immiscible Two-Phase Flow in 3D, Acta Math. Sci., 43: 2133-2158 (2023)

(7) 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., 54(3): 3817-3847 (2022)

(8) 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, 334: 157-193 (2022)

(9) Chen Y., He Q., Huang B., Shi X., Navier-Stokes/Allen-Cahn System with Generalized Navier Boundary Condition, Acta Math. Appl. Sin. Engl. Ser., 38: 98-115 (2022)

(10)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., 44(17): 12945-12962 (2021)

(11)Chen Y., Hong H., Shi X., Stability of degenerate stationary solution to the outflow problem for full Navier-Stokes equations, Commun. Math. Sci., 19(5): 1233-1246 (2021)

(12)Chen Y., Li H., Shi X., Partial Regularity of Suitable Weak Solutions to the System of the Incompressible Shear-thinning Flow, Acta Math. Appl. Sin. Engl. Ser., 37: 348-363 (2021)

(13)Chen Y., Wang D., Zhang R., On mathematical analysis of complex fluids in active hydrodynamics, Electronic Research Archive, 29(6): 3817-3832 (2021)

Faculty Websites

Chen Yazhou