Rongchan Zhu Title: Professor Email: zhurongchan@126.com
Professor Zhu Rongchan, mainly engaged in stochastic partial differential equations, stochastic analysis, Dieldahl type theory and other related research. At present, stochastic partial differential equations and stochastic fluid equations with singular noise are mainly studied. In 2019, he was awarded the National Natural Science Foundation Outstanding Youth Fund. Main interests: Stochastic analysis, SPDEs, singular SPDEs, stochastic quantization, SPDEs in fluid dynamics, Dirichlet forms, etc.
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Singular stochastic partial differential equations, stochastic quantized equations, KPZ equations, stochastic Navier-Stokes equations, stochastic Euler equations.
Singular SPDEs, stochastic quantization, KPZ equations, stochastic Navier-Stokes equations, stochastic Euler equations

2003.9-2007.7 Sichuan University B.S. in mathematics
Sichuan University B.S. in Mathematics < BR > Chinese Academy of Sciences Ph.D. in Probability
Chinese Academy of Sciences pH.D. In Probability< BR > 2010.10-2012.3 Dr. Bielefeld Univeristy Ph.D. in mathematics

2012.9-2016.7 Lecturer of Beijing Institute of Technology BIT Assistant professor
2016.7-2020.7 Associate professor of Beijing Institute of Technology BIT Associated professor
2020.7-Present Professor, Beijing Institute of Technology BIT Professor

25. Singular kinetic equations and applications
(with Zimo Hao, Xicheng Zhang, Xiangchan Zhu)
The Annals of Probability Vol. 52, No. 2, 576–657, 2024.

24. A new derivation of the finite N master loop equation for lattice Yang-Mills
(with Hao Shen, Scott Smith)
Electron. J. Probab. 29 no. 29, 1–18, 2024.

23. Gaussian fluctuations for interacting particle systems with singular kernels
(with Zhenfu Wang, Xianliang Zhao)
Archive for Rational Mechanics and Analysis, (2023) 247:101

22. A class of supercritical/critical singular stochastic PDEs: Existence, non-uniqueness, non-Gaussianity, non-unique ergodicity.
(With Martina Hofmanova, Xiangchan Zhu)
J. Funct. Anal. 285(2023), no. 5, Paper No. 110011. 60 (35)

21. Non-uniqueness in law of stochastic 3D Navier--Stokes equations
(With Martina Hofmanova, Xiangchan Zhu)
To appear in Journal of the European Mathematical Society

20. Global existence and non-uniqueness for 3D Navier--Stokes equations with space-time white noise
(With Martina Hofmanova, Xiangchan Zhu)
Archive for Rational Mechanics and Analysis, 247 (2023),no. 3, Paper No. 46.


19. A stochastic analysis approach to Lattice Yang–Mills at Strong Coupling
(With Hao Shen, Xiangchan Zhu)
Communications in Mathematical Physics, 400 (2023), no. 2, 805–851


18. Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier-Stokes equations: existence and non-uniqueness
(With Martina Hofmanova, Xiangchan Zhu)
The Annals of Probability, 2023, Vol. 51, No. 2, 524-579

17. An SPDE approach to perturbation theory of Φ42: asymptoticity and short distance behavior
(With Hao Shen, Xiangchan Zhu)
The Annals of Applied Probability, 33(4): 2600-2642, 2023

16. Large N Limit of the O(N) Linear Sigma Model in 3D,
(with Hao Shen, Xiangchan Zhu),
Communications in Mathematical Physics . 394 no.3, 953–1009. 2022

15. Singular HJB equations with applications to KPZ on the real line,
(with xicheng zhang, xiangchan zhu),
Probability Theory and Related Fields. 183 no. 3-4, 789-869,2022

14. Large N Limit of the O(N) Linear Sigma Model via Stochastic Quantization,
(With Hao Shen, Scott Smith, Xiangchan Zhu)
The Annals of Probability, 50(1), 131-202, 2022.

13. On ill- and well-posedness of dissipative martingale solutions to stochastic 3D Euler equations
(With Martina Hofmanova, Xiangchan Zhu)
Commun. Pure Appl. Math. Vol. LXXV, 2446–2510 (2022)

12. Conservative stochastic 2-dimensional Cahn-Hilliard equation,
(With Michael Rockner, Huanyu Yang)
The Annals of Applied Probability, Vol. 31, No. 3, 1336-1375, 2021.

11. Stochastic heat equation for infinite string with values in manifold,
(with Xin Chen, Bo Wu, Xiangchan Zhu),
Transactions of the American Mathematical Society, 374(1):407-452, 2021.

10. Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms,
(with Michael Rockner, Bo Wu, Xiangchan Zhu),
SIAM J. Math. Anal., 52(3):2237-2274, 2020.

9. Dirichlet form associated with the Φ43 model,
(with xiangchan zhu)
Electron. J. Probab. 23, no. 78, 1-31, 2018.

8. Lattice approximation to the dynamical Φ43 model,
(with xiangchan zhu)
Ann. Probab. 46 no. 1, 397-455, 2018.

7. Ergodicity for the stochastic quantization problems on the 2D-Torus. (With Michael Röckner, Xiangchan Zhu)
Comm. Math. Phys. 352 no. 3, 1061–1090, 2017

6. Restricted Markov uniqueness for the stochastic quantization of P(Φ)2 and its applications.
(With Michael Röckner, Xiangchan Zhu)
J. Funct. Anal. 272 no. 10, 4263-4303, 2017.

5. Random attractor associated with the quasi-geostrophic equation.
(with xiangchan zhu)
J. Dynam. Differential Equations 29, no. 1, 289–322, 2017.


4. Three dimensional Navier-Stockes equation driven by space-time white noise.
(with xiangchan zhu)
Journal of Differential Equations, 259, 4443–4508, 2015.

3. Sub- and supercritical stochastic quasi-geostrophic equation,
(With Michael Röckner, Xiangchan Zhu)
The Annals of Probability, 43, no. 3, 1202–1273, 2015.

2. Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise,
(With Michael Röckner, Xiangchan Zhu)
Stochastic Processes and their Applications, 124 1974–2002, 2014.
1. The stochastic reflection problem on a convex set of a Hilbert space and BV functions in a Gelfand triple,
(With Michael Röckner, Xiangchan Zhu)
The Annals of Probability, 40, 1759-1794, 2012.