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Yu Wang 王宇

Assistant professor

About me

Welcome to my personal webpage. I am an Assistant Professor of Mathematics at Southwest Jiaotong University.

You can find my CV here: CV (Google Drive).

My research focuses on mathematical control theory for stochastic partial differential equations (SPDEs) and related inverse problems, which are fundamental for understanding systems affected by random disturbances.

A central focus of my research is the controllability of SPDEs, which involves steering a system from any initial state to a desired final state within a finite time using appropriate controls. The randomness inherent in SPDEs introduces significant challenges, as many theories developed for deterministic systems cannot be directly applied.

I have concentrated on the null controllability of linear fourth order SPDEs. By employing duality arguments, I reduce the null controllability problem to establishing observability for backward fourth order SPDEs. The required observability estimate is obtained via a global Carleman estimate.

Another focus of my research is inverse problems for SPDEs, which broadly aim to determine unknown parameters of a system from observed data based on its mathematical model.

In this area, I have investigated ill-posed Cauchy problems and inverse source problems for SPDEs. My work includes establishing conditional stability and convergence rates for the Tikhonov regularization method. I am also interested in developing and analyzing numerical methods for solving these inverse problems.

Working experience

Education

  • 09.2017 - 06.2023 Ph.D. in Mathematics, Sichuan University (Supervisor: Professor Qi Lü (吕琦)).
  • 09.2013 - 06.2017 B.Sc. in Mathematics, Sichuan University.

Publications

Articles

  1. Q. Lü, Y. Wang, Exact controllability for a refined stochastic plate equation, Chinese Ann. Math. Ser. B, 46(3) (2025), 415–442. [Article] [ArXiv]
  2. F. Dou, P. Lü, Y. Wang, Stability and regularization for ill-posed Cauchy problem of a stochastic parabolic differential equation, Inverse Problems, 40(11) (2024), 115005. [Article] [ArXiv]
  3. Y. Wang, Null controllability for stochastic coupled systems of fourth order parabolic equations, J. Math. Anal. Appl., 538 (2024), 128426. [Article] [ArXiv]
  4. Q. Lü, Y. Wang, Null controllability for fourth order stochastic parabolic equations, SIAM J. Control Optim., 60 (2022), 1563–1590. [Article] [ArXiv]

Preprints

  1. Q. Lü, Y. Wang, An Inverse Source Problem for Semilinear Stochastic Hyperbolic Equations, Submitted. [ArXiv]
  2. Y. Wang, Q. Zhao, Null controllability for semi-discrete stochastic semilinear parabolic equations, Submitted. [ArXiv]
  3. Q. Lü, Y. Wang, Inverse problems for stochastic partial differential equations, Submitted. [ArXiv]
  4. Y. Wang, Q. Zhao, Null controllability for stochastic fourth order semi-discrete parabolic equations, Submitted. [ArXiv]

Presentations

  1. Inverse problems for stochastic partial differential equations. [Slides]
    Workshop on Recent Trends in Applied Mathematics and Machine Learning, Jul. 25, 2025
  2. Controllability of stochastic fourth order partial differential equations. [Slides]
    The 15th Academic Conference on Mathematical Control Theory and Applications, Nov. 9, 2024

Grants

  1. Controllability of a fourth-order coupled stochastic parabolic system, 2024-2025, RMB 100K. Fundamental Research Funds for the Central Universities (No. 2682024CX013).

    中央高校基本科研业务费 (No. 2682024CX013), 耦合四阶随机抛物型系统的能控性, 2024-2025, 10万元.

Peer review

  • SIAM Journal on Control and Optimization
  • ESAIM: Control, Optimisation and Calculus of Variations
  • Journal of Systems Science and Complexity
  • Mathematical Control and Related Fields
  • Science China Mathematics
  • Applied Mathematics & Optimization
  • Journal of Mathematical Analysis and Applications
  • Journal of Optimization Theory and Applications

Courses