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朱蓉禅

  • 职称：副高级
  • 所属院系：数学与统计学院  
  • 成果数量：30条，属于本单位的个人成果30条

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[外文期刊] Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise SCIE

作者： Hofmanova, Martina1;Luo, Xiaoyutao2;Zhu, Rongchan3;Zhu, Xiangchan2 （1Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany.;2Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China.;3Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China.）

出处： MATHEMATISCHE ANNALEN 2024

关键词： STRATA

摘要： We consider a family of singular surface quasi-geostrophic equations partial derivative(t)theta + u center dot del theta = -nu(-Delta)(gamma/2)theta + ...

[外文期刊] SINGULAR KINETIC EQUATIONS AND APPLICATIONS SCIE

作者： Hao, Zimo1;Zhang, Xicheng2;Zhu, Rongchan2;Zhu, Xiangchan3 （1Univ Bielefeld, Fak Math, Bielefeld, Germany.;2Beijing Inst Technol, Dept Math, Beijing, Peoples R China.;3Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China.）

出处： ANNALS OF PROBABILITY 2024 Vol.52 No.2 P576-657

关键词： DISTRIBUTION DEPENDENT SDES; MEAN-FIELD LIMIT; MCKEAN-VLASOV; HYPOELLIPTIC REGULARITY; WELL-POSEDNESS; PROPAGATION; CHAOS; EXISTENCE; UNIQUENESS; SYSTEMS

摘要： In this paper we study singular kinetic equations on R-2d by the paracontrolled distribution method introduced in Gubinelli, Imkeller and Perkowski (F ...

[外文期刊] GLOBAL WELL-POSEDNESS FOR 2D GENERALIZED PARABOLIC ANDERSON MODEL VIA PARACONTROLLED CALCULUS EI

作者： Shen, Hao1; Zhu, Rongchan2; Zhu, Xiangchan3 （1Department of Mathematics, University of Wisconsin - Madison, United States;2Department of Mathematics, Beijing Institute of Technology, Beijing; 100081, China;3Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing; 100190, China）

出处： arXiv 2024

[外文期刊] A new derivation of the finite N master loop equation for lattice Yang-Mills SCIE

作者： Shen, Hao1;Smith, Scott A.2;Zhu, Rongchan3 （1Univ Wisconsin Madison, Madison, WI 53706 USA.;2Chinese Acad Sci, Beijing, Peoples R China.;3Beijing Inst Technol, Beijing, Peoples R China.）

出处： ELECTRONIC JOURNAL OF PROBABILITY 2024 Vol.29

关键词： GAUGE-THEORY

摘要： We give a new derivation of the finite N master loop equation for lattice Yang -Mills theory with structure group SO(N), U(N) or SU(N). The SO(N) case ...

[外文期刊] LANGEVIN DYNAMICS OF LATTICE YANG-MILLS-HIGGS AND APPLICATIONS EI

作者： Shen, Hao1; Zhu, Rongchan2; Zhu, Xiangchan3 （1Department of Mathematics, University of Wisconsin, Madison, United States;2Department of Mathematics, Beijing Institute of Technology, Beijing; 100081, China;3Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing; 100190, China）

出处： arXiv 2024

[外文期刊] STATIONARY SOLUTIONS TO STOCHASTIC 3D EULER EQUATIONS IN HÖLDER SPACE EI

作者： Lü, Lin1; Zhu, Rongchan1 （1Department of Mathematics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2024

[外文期刊] Nonuniqueness in law of stochastic 3D Navier-Stokes equations SCIE

作者： Hofmanova,Martina1;Zhu,Rongchan2;Zhu,Xiangchan3; （1Fakultat fur Mathematik, Universitat Bielefeld, Bielefeld, 33501, Germany;2Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China;3Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China）

出处： Journal of the European Mathematical Society 2024 Vol.26 No.1 P163-260

摘要： We consider the stochastic Navier-Stokes equations in three dimensions and prove that the law of analytically weak solutions is not unique. In particu ...

[外文期刊] Stationary solutions to stochastic 3D Euler equations in Holder space SCIE EI

作者： Lu, Lin1;Zhu, Rongchan1 （1Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China.）

出处： STOCHASTIC PROCESSES AND THEIR APPLICATIONS 2024 Vol.177

关键词： ILL-POSEDNESS; SYSTEM DRIVEN; EXISTENCE

摘要： We establish the existence of infinitely many global and stationary solutions in C (R, C-theta) space for some theta > 0 to the three-dimensional Eule ...

[外文期刊] Gaussian Fluctuations for Interacting Particle Systems with Singular Kernels SCIE

作者： Zhenfu Wang1;Xianliang Zhao2,3;CA1;Rongchan Zhu4,5; （1Beijing International Center for Mathematical Research, Peking University, 100871, Beijing, China;2Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China;3Fakultät für Mathematik, Universität Bielefeld, 33501, Bielefeld, Germany;4Department of Mathematics, Beijing Institute of Technology, 100081, Beijing, China;5Key Laboratory on MCAACI, Beijing, China）

出处： Archive for Rational Mechanics and Analysis 2023 Vol.247 No.5 P101

摘要： We consider the asymptotic behaviour of the fluctuations for the empirical measures of interacting particle systems with singular kernels. We prove th ...

[外文期刊] NON-UNIQUENESS OF LERAY–HOPF SOLUTIONS FOR STOCHASTIC FORCED NAVIER–STOKES EQUATIONS EI

作者： Hofmanová, Martina1; Zhu, Rongchan2; Zhu, Xiangchan3 （1Fakultät für Mathematik, Universität Bielefeld, Bielefeld; D-33501, Germany;2Department of Mathematics, Beijing Institute of Technology, Beijing; 100081, China;3Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing; 100190, China）

出处： arXiv 2023

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朱蓉禅副高级简介

Educational Background

2003.9-2007.7 Sichuan University Bachelor

2007.9-2012.7 Chinese Academy of Science Doctor

2010.10-2012.3 Bielefeld Univeristy Doctor

Working Experience

2012.9-2016.7 Beijing Institute of Technology Lecturer

2016.7- Beijing Institute of Technology associated professor

Teachings

Probability theory and statistics

Publications


[1] Rongchan Zhu, Xiangchan Zhu, Lattice approximation to the dynamical Φ^4_3 model, to appear in The annals of Probability

[2] Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan; Ergodicity for the Stochastic Quantization Problems on the 2D-Torus. Comm. Math. Phys. 352 (2017), no. 3, 1061–1090.

[3] Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan; Restricted Markov uniqueness for the stochastic quantization of P(Φ)2 and its applications. J. Funct. Anal. 272 (2017), no. 10

[4] Zhu, RongChan; Zhu, XiangChan Random attractor associated with the quasi-geostrophic equation. J. Dynam. Differential Equations 29 (2017), no. 1, 289–322

[5] Rongchan Zhu, Xiangchan Zhu, Three dimensional Navier-Stockes equation driven by spacetime white noise. Journal of Differential Equations, 259(2015), 4443–4508.

　　[6] Michael Rockner, Rongchan Zhu, Xiangchan Zhu, Sub- and supercritical stochastic quasi-geostrophic equation, The Annals of Probability, 43(2015)，

　　[7] Rongchan Zhu, BSDE and generalized Dirichlet forms: The infinite dimensional case, Forum Math., 27(2015), 201–253.

　　[8] Michael Rockner, Rongchan Zhu, Xiangchan Zhu, The stochastic reflection problem on a convex set of a Hilbert space and BV functions in a Gelfand triple, The Annals of Probability, 40(2012), 1759-1794.

　　[9]Michael Rockner, Rongchan Zhu, Xiangchan Zhu, Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions, Nonlinear Analysis Theory and its Applications, 125(2015), 358-397.

　　[10] Michael Rockner, Rongchan Zhu, Xiangchan Zhu, BV functions in a Gelfand triple for differentiable measure and its applications, Forum Math., 27(2015), 1657–1687.1202–1273

　　[11] Michael Rockner, Rongchan Zhu, Xiangchan Zhu, Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise, Stochastic Processes and their Applications, 124 (2014), 1974–2002.

　　[12] Michael Rockner, Rongchan Zhu, Xiangchan Zhu, A note on stochastic semilinear equations and their associated Fokker-Planck equations, Journal of Mathematical Analysis and Applications ，415 (2014), 83-109.

　　[13] Rongchan Zhu, Xiangchan Zhu, Martingale solutions for stochastic active scalar equations perturbed by non-trace class noise, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 17(2014)，32pages

　　[14] Michael Rockner, Rongchan Zhu, Xiangchan Zhu, The stochastic quasi-geostrophic equation (announcement), Infinite Dimensional Analysis, Quantum Probability and Related Topics, 15(2012). 6 pages

　　[15] Rongchan Zhu, BSDE associated with generalized Dirichlet forms: finite dimensional case, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 15(2012), 40pages

Visiting Positions

as a Visiting Scholar in Department of Mathematics, Bielefeld University, from October 15 2012 to October 15.2013; from January 03.2014 to Feb 22; from June 20.2014 to September.05.2014; from June 28.2015 to Sept.05.2015. from June 2016 to Aug 2016

Research Projects

[1] 带有奇异噪声的随机偏微分方程 (NSFCgrant number11671035, 2014-2016, PI: Rong-Chan Zhu,480,000RMB)

[2] Stochastic differential equations in infinite dimensional case (NSFC, grant number11301026, 2014-2016, PI: Rong-Chan Zhu,200,000RMB)

[3] Stochastic functional differential equations in infinite dimensional case (校基金2015-2016)

[4] Stochastic partial differential equations with singular noise (校基金2016-2017)

Awards, Honors and Recognitions

Graduate Students

Conference Talks and Invited Presentations

I was invited to speak at the following international conferences and seminars at universities:

1)Stochastic Partial Differential Equations (SPDEs) - Follow-up Meeting (SPDW07), Cambridge, UK 2012. 9.10 -2012.9. 14

2)Stochastics and Real World Models: Recent Progress and New Frontier,Xuzhou, 2012.10.15-2012.10.18

3)stochastic seminar in Oxford University, UK 2013.1.21

4) Open German -Japanese Conference onStochastic Analysis, Leipzig, Germany, 2013.9.9-2013.9.13

(5) The 10th Conference on SPDE and Applications,Levico, Italy 2014.1.5-2014.1.11

(6) The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain, 2014.7.7-2014.7.11

7)Stochastics and Real World Models: Recent Progress and New Frontier,Xuzhou, 2012.10.15-2012.10.18

(8) Dirichlet Form Theory and its Applications, Oberwolfach,Germany,2014.10.19-2014.10.25

(9) International workshop on stochastic partial differential equations and related topics，Xuzhou,2014.12.18-2014.12.22

(10) Converence for young researchers in probability theory Wuhan2015.5.1-2015.5.4

(11) 2016 年6 月在意大利Levico 举办的随机偏微分方程会议；
(12) 2016 年7 月在北京理工大学举办的随机分析国际会议；
(13) 2016 年7 月在北京大学举办的概率统计学术研讨会；
(14) 2016 年10 月在德国比勒菲尔德大学举办的随机偏微分方程及其应用国际会议。

Conference Organization

Grants & Scholarships Assessor

International Refereed Journals

International Refereed Proceedings