Bo You
Email • PhD in Mathematics, LZU
Nonlinear Analysis, PDEs
Visiting Scientist
Xi’an Jiaotong University (China)
Host: Enrique Zuazua
Room 03.311 | FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship
Friedrich-Alexander-Universität Erlangen-Nürnberg
Naturwissenschaftliche Fakultät. Department Mathematik
Since 2022 I am a Full Professor at Xi’an Jiaotong University (XJTU).
I am a visiting scientist at FAU DCN-AvH, the Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at Friedrich-Alexander-Universität Erlangen-Nürnberg, Bavaria (Germany).
I have been an Associate Professor at XJTU (2016 – 2021). Previously, with a visiting scholar at Florida State University (2014 – 2015) I have been an Assistant Professor at Xi’an Jiaotong University (2013 – 2016).
I got my PhD in Mathematics from the Lanzhou University (LZU, 2007 – 2012).
My research focuses on Nonlinear Analysis and Partial Differential Equations.
Research interests
Research Fields:
• Nonlinear Analysis and Partial Differential Equations:
• Stochastic partial differential equations,
• Carleman estimates,
• Controllability and stabilization of PDEs,
• Long-time behavior of wave equation with localized damping including global attractor and stabilization
Projects
Publications
2026
- Dai, H., You, B., & Caraballo, T. (2026). Random attractor for stochastic pLaplacian equations with dynamic boundary conditions driven by nonlinear colored noise. J. Mathematical Phys, Accepted.
- Guo, M., You, B., Li, F., & Cavalcanti, M. M. (2026). Asymptotic behavior of a plate equation with degenerate memory and localized frictional damping. Nonlinear Anal. Real World Appl, 93, 104662.
- Zhang, Z. & You, B. (2026). On the small time asymptotics of the three dimensional stochastic planetary geostrophic equations of large-scale ocean circulation. Math. Methods Appl. Sci, 66, Accepted.
- Dai, H., Guo, M., & You, B. (2026). Random attractors for stochastic reaction-diffusion equations with dynamic boundary conditions driven by nonlinear colored noise. Stoch. Anal. Appl, 66, Accepted.
- Li, F. & You, B. (2026). Global Carleman estimates for a fourth order parabolic equations and application to null controllability. Math. Control Relat. Fields, 17, 120–143.
2025
- Li, F., You, B., & Cavalcanti, M. M. (2025). Global attractor for Balakrishnan-Taylor extensible beam equations with nonlinear damping. J. Mathematical Phys, 66, 092709.
- You, B. (2025). Asymptotic behavior of the three dimensional primitive equations of large-scale ocean and atmosphere dynamics. J. Differential Equations, 447, 113643.
- Zhou, L. S., You, B., & Feng, X. (2025). Inverse problem for stochastic heat equations with singular inverse-square potentials. Inverse Problems, 41, 075012.
- Guo, M., Dai, H., You, B., & Caraballo, T. (2025). Global attractor of a wave equation with Hardy potentials and nonlinear damping. J. Mathematical Phys, 66, 082701.
- Guo, M. R., You, B., & Caraballo, T. (2025). Dynamics of a wave equation with memory and Hardy type potentials. J. Differential Equations, 444, 113580.
- Zhou, L. & You, B. (2025). Null controllability for stochastic heat equations with singular inverse-square potentials. J. Math. Anal. Appl, 550, 129633.
- Dai, H., You, B., & Caraballo, T. (2025). Asymptotical behavior of the 2D stochastic partial dissipative Boussinesq system with memory. Commun. Nonlinear Sci. Numer. Simul, 149, 108916.
- Li, F. & You, B. (2025). Optimal control for a reaction-diffusion model with tumor-immune interactions. Commun. Nonlinear Sci. Numer. Simul, 145, 108677.
- Li, F. & You, B. (2025). Hierarchical exact controllability of the fourth order parabolic equations. Commun. Contemp. Math, 27, 2550024.
- Dai, H., You, B., & Li, F. (2025). Well-posedness of stochastic Cahn-Hilliard-Brinkman system with regular potential. Stoch. Anal. Appl, 43, 181–204.
2024
- You, B. (2024). Continuous data assimilation for the three dimensional planetary geostrophic equations of large-scale ocean circulation. Z. Angew. Math. Phys, 75, 147.
- Li, F. & You, B. (2024). Optimal control of a phase field tumor growth model with chemotaxis and active transport. J. Nonlinear Var. Anal, 8, 41–65.
- You, B. (2024). A discrete data assimilation algorithm for the three dimensional planetary geostrophic equations of large-scale ocean circulation. J. Dynam. Differential Equations, 36, 1591–1615.
- Li, F. & You, B. (2024). Global attractor of the Euler-Bernoulli equations with a localized nonlinear damping. Discrete Contin. Dyn. Syst, 44, 2641–2659.
- You, B. (2024). Optimal distributed control for a Cahn-Hilliard type phase field system related to tumor growth. Math. Control Relat. Fields, 14, 575–609.
2023
- You, B. (2023). Pullback exponential attractors for the three dimensional nonautonomous primitive equations of large scale ocean and atmosphere dynamics. Commun. Math. Sci, 21, 1415–1445.
- Ma, S. & You, B. (2023). Global attractors for a class of degenerate parabolic equations with memory. Discrete Contin. Dyn. Syst. Ser. B, 28, 2044–2055.
2022
- You, B. (2022). Trajectory statistical solutions for the Cahn-Hilliard-Navier-Stokes system with moving contact lines. Discrete Contin. Dyn. Syst. Ser. B, 27, 4769–4785.
- Zhao, C. & You, B. (2022). Dynamics of the three dimensional primitive equations of large-scale atmosphere. Appl. Anal, 101, 4898–4913.
- You, B. & Xia, Q. (2022). Continuous data assimilation algorithm for the two dimensional Cahn-Hilliard-Navier-Stokes System. Appl. Math. Optim, 85, 5.
- You, B. (2022). Optimal distributed control of the three dimensional planetary geostrophic equations. J. Dyn. Control Syst, 28, 351–373.
2021
- Li, F. & You, B. (2021). On the dimension of global attractor of the Cahn-HilliardBrinkman system with dynamic boundary conditions. Discrete Contin. Dyn. Syst. Ser. B, 26, 6387–6403.
- You, B. (2021). Optimal distributed control of the three dimensional primitive equations of large-scale ocean and atmosphere dynamics. Evol. Equ. Control Theory, 10, 937–963.
- You, B. (2021). Dynamics of the three dimensional viscous primitive equations of large-scale moist atmosphere. Commun. Math. Sci, 19, 1673–1601.
- You, B. (2021). Pullback exponential attractors for some non-autonomous dissipative dynamical systems. Math. Methods Appl. Sci, 44, 10361–10386.
- You, B. (2021). Well-posedness for the three dimensional stochastic planetary geostrophic equations of large-scale ocean circulation. Discrete Contin. Dyn. Syst, 41, 1579–1604.
- Li, F. & You, B. (2021). Optimal distributed control for a model of homogeneous incompressible two-phase flows. J. Dyn. Control Syst, 27, 153–177.
2020
- You, B. (2020). Pullback attractor for the three dimensional non-autonomous primitive equations of large-scale ocean and atmosphere dynamics. Comput. Math. Methods, 2.
- Feng, X. & You, B. (2020). Random attractors for the two dimensional stochastic g-Navier-Stokes equations. Stochastics, 92, 613–626.
- You, B. & Zhao, C. (2020). Approximation of stationary statistical properties of the three dimensional autonomous planetary geostrophic equations of large-scale ocean circulation. Discrete Contin. Dyn. Syst. Ser. B, 25, 3183–3198.
- Li, F. & You, B. (2020). Pullback exponential attractors for the three dimensional non-autonomous Navier-Stokes equations with nonlinear damping. Discrete Contin. Dyn. Syst. Ser. B, 25, 55–80.
2019
- You, B. & Ma, S. (2019). Approximation of stationary statistical properties of the three dimensional primitive equations of large-scale ocean and atmosphere dynamics. Z. Angew. Math. Phys, 70.
- You, B. (2019). Pullback exponential attractors for the viscous Cahn-HilliardNavier-Stokes system with dynamic boundary conditions. J. Math. Anal. Appl, 478, 321–344.
- You, B. (2019). Global attractor of the Cahn-Hilliard-Navier-Stokes system with moving contact lines. Commun. Pure Appl. Anal, 18, 2283–2298.
- Pei, S., Hou, Y., & You, B. (2019). A linearly second-order energy stable scheme for the phase field crystal model. Appl. Numer. Math, 140, 134–164.
- You, B. & Li, F. (2019). Optimal distributed control of the Cahn-HilliardBrinkman system with regular potential. Nonlinear Anal, 182, 226–247.
2018
- Li, F., You, B., & Xu, Y. (2018). Dynamics of weak solutions for the three dimensional Navier-Stokes equations with nonlinear damping. Discrete Contin. Dyn. Syst. Ser. B, 23, 4267–4284.
- You, B. & Li, F. (2018). Global attractor of the three dimensional primitive equations of large-scale ocean and atmosphere dynamics. Z. Angew. Math. Phys, 69.
- Li, Q., Mei, L., & You, B. (2018). A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model. Appl. Numer. Math, 134, 46–65.
- Li, F., You, B., & Zhong, C. (2018). Multiple equilibrium points in global attractors for some p-Laplacian equations. Appl. Anal, 97, 1591–1599.
- You, B., Li, F., & Zhang, C. (2018). Finite dimensional global attractor of the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions. Commun. Math. Sci, 16, 53–76.
- Li, F. & You, B. (2018). Random attractor for the stochastic Cahn-HilliardNavier-Stokes system with small additive noise. Stoch. Anal. Appl, 36, 546–559.
2017
- You, B. (2017). The existence of a random attractor for the three dimensional damped Navier-Stokes equations with additive noise. Stoch. Anal. Appl, 35, 691–700.
- You, B. (2017). Random attractors for the three-dimensional stochastic planetary geostrophic equations of large-scale ocean circulation. Stochastics, 89, 766–785.
- Zhang, J., Zhong, C., & You, B. (2017). The existence of multiple equilibrium points in global attractors for some symmetric dynamical systems II. Nonlinear Anal. Real World Appl, 36, 44–55.
2016
- You, B. & Li, F. (2016). Pullback attractors of the two-dimensional nonautonomous simplified Ericksen-Leslie system for nematic liquid crystal flows. Z. Angew. Math. Phys, 67.
- You, B. & Li, F. (2016). Well-posedness and global attractor of the Cahn-HilliardBrinkman system with dynamic boundary conditions. Dyn. Partial Differ. Equ, 13, 75–90.
- You, B. & Li, F. (2016). Random attractor for the three-dimensional planetary geostrophic equations of large-scale ocean circulation with small multiplicative noise. Stoch. Anal. Appl, 34, 278–292.
- Li, F., Zhong, C., & You, B. (2016). Finite-dimensional global attractor of the Cahn-Hilliard-Brinkman system. J. Math. Anal. Appl, 434, 599–616.
2015
- Li, F. & You, B. (2015). Pullback attractors for the non-autonomous complex Ginzburg-Landau type equation with p-Laplacian. Nonlinear Anal. Model. Control, 20, 233–248.
- You, B. & Li, F. (2015). The existence of a pullback attractor for the three dimensional non-autonomous planetary geostrophic viscous equations of largescale ocean circulation. Nonlinear Anal, 112, 118–128.
2014
- You, B., Hou, Y., Li, F., & Jiang, J. (2014). Pullback attractors for the non-autonomous quasi-linear complex Ginzburg-Landau equation with p-Laplacian. Discrete Contin. Dyn. Syst. Ser. B, 19, 1801–1814.
- You, B., Li, F., & Zhong, C. (2014). The existence of multiple equilibrium points in a global attractor for some p-Laplacian equation. J. Math. Anal. Appl, 418, 626–637.
- Zhong, C., You, B., & Yang, R. (2014). The existence of multiple equilibrium points in global attractor for some symmetric dynamical systems. Nonlinear Anal. Real World Appl, 19, 31–44.
- You, B., Zhong, C., & Li, F. (2014). Pullback attractors for three dimensional non-autonomous planetary geostrophic viscous equations of largescale ocean circulation. Discrete Contin. Dyn. Syst. Ser. B, 19, 1213–1226.
- You, B. & Li, F. (2014). Pullback attractor for the non-autonomous p-Laplacian equations with dynamic flux boundary conditions. Electron. J. Differential Equations 2014, 2014.
- Li, F. & You, B. (2014). Global attractors for the complex Ginzburg-Landau equation. J. Math. Anal. Appl, 415, 14–24.
2013
- You, B. & Zhong, C. (2013). Global attractors for p-Laplacian equations with dynamic flux boundary conditions. Adv. Nonlinear Stud, 13, 391–410.
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