朱蓉禅 - 北京理工大学 - 数学与统计学院

个人简介

朱蓉禅教授，主要从事随机偏微分方程，随机分析，狄氏型理论等相关研究。目前主要研究带有奇异噪声的随机偏微分方程和随机流体方程。2019年获国家自然科学基金优秀青年基金。教育背景 2003.9-2007.7 四川大学本科 2007.9-2012.7中科院数学与系统科学院博士 2010.10-2012.3 Bielefeld Univeristy 博士工作经历 2012.9-2016.7 北京理工大学讲师 2016.7- 2020.7 北京理工大学副教授 2020.7- 今北京理工大学教授

研究领域

奇异随机偏微分方程，随机量子化方程，KPZ方程，随机Navier-Stokes方程，随机欧拉方程

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

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) Non-uniqueness in law of stochastic 3D Navier--Stokes equations (With Martina Hofmanova, Xiangchan Zhu) To appear in Journal of the European Mathematical Society 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. 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 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 An SPDE approach to perturbation theory of Φ42: asymptoticity and short distance behavior (With Hao Shen, Xiangchan Zhu) To appear in The Annals of Applied Probability 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 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 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. 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) Conservative stochastic 2-dimensional Cahn-Hilliard equation, (With Michael Rockner, Huanyu Yang) The Annals of Applied Probability, Vol. 31, No. 3, 1336-1375, 2021. 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. 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. Dirichlet form associated with the Φ43 model, (With Xiangchan Zhu) Electron. J. Probab. 23, no. 78, 1-31, 2018. Lattice approximation to the dynamical Φ43 model, (With Xiangchan Zhu) Ann. Probab. 46 no. 1, 397-455, 2018. Ergodicity for the Stochastic Quantization Problems on the 2D-Torus. (With Michael R?ckner, Xiangchan Zhu) Comm. Math. Phys. 352 no. 3, 1061–1090, 2017 Restricted Markov uniqueness for the stochastic quantization of P(Φ)2 and its applications. (With Michael R?ckner, Xiangchan Zhu) J. Funct. Anal. 272 no. 10, 4263-4303, 2017. Random attractor associated with the quasi-geostrophic equation. (With Xiangchan Zhu) J. Dynam. Differential Equations 29, no. 1, 289–322, 2017. Three dimensional Navier-Stockes equation driven by space-time white noise. (With Xiangchan Zhu) Journal of Differential Equations, 259, 4443–4508, 2015. Sub- and supercritical stochastic quasi-geostrophic equation, (With Michael R?ckner, Xiangchan Zhu) The Annals of Probability, 43, No. 3, 1202–1273, 2015. Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise, (With Michael R?ckner, Xiangchan Zhu) Stochastic Processes and their Applications, 124 1974–2002, 2014.　　 The stochastic reflection problem on a convex set of a Hilbert space and BV functions in a Gelfand triple, (With Michael R?ckner, Xiangchan Zhu) The Annals of Probability, 40, 1759-1794, 2012.